NCERT Solutions for Class 11 Chemistry Chapter 8 – Free PDF Download
*According to the CBSE Syllabus 2023-24, this chapter has been renumbered as Chapter 7.
NCERT Solutions for Class 11 Chemistry Chapter 8 Redox Reactions are provided on this page for the perusal of Class 11 Chemistry students following the latest syllabus of 2023-24 prescribed by CBSE. Detailed, student-friendly answers to each and every intext and exercise question provided in Chapter 8 of the NCERT Class 11 Chemistry textbook can be found here. Subject experts have created these NCERT Solutions for Class 11 Chemistry according to the latest CBSE Syllabus and its guidelines.
The NCERT Solutions of Class 11 Chemistry Chapter 8 are available in both online and offline forms and can be accessed according to the needs of the students. The NCERT Solutions of this Chapter can also be downloaded as a PDF from the link below.
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NCERT Solutions for Class 11 Chemistry Chapter 8 Redox Reactions
“Redox Reactions” is the eighth chapter in the NCERT Class 11 Chemistry textbook. This chapter is regarded by many as one of the most important chapters in the term – I CBSE Class 11 Chemistry Syllabus 2023-24, owing to the fact that the entire field of electrochemistry deals with redox reactions. The NCERT Solutions of topics touched upon in this chapter is also a part of the JEE and NEET syllabi. The important subtopics that come under this chapter are listed below.
Subtopics of Class 11 Chemistry Chapter 8 Redox Reactions
- Classical Idea of Redox Reactions – Oxidation And Reduction Reactions
- Redox Reactions in Terms of Electron Transfer Reactions
- Competitive Electron Transfer Reactions
- Oxidation Number
- Types of Redox Reactions
- Balancing of Redox Reactions
- Redox Reactions as the Basis for Titrations
- Limitations of the Concept of Oxidation Number
- Redox Reactions and Electrode Processes.
NCERT Solutions for Class 11 Chemistry Chapter 8
1. Assign oxidation number to the underlined elements in each of the following species:
(a) \(\begin{array}{l}NaH_2\underline{P}O_4\end{array} \)
(b) \(\begin{array}{l}NaH\underline{S}O_{4}\end{array} \)
(c) \(\begin{array}{l}H_{4}\underline{P}_{2}O_{7}\end{array} \)
(d) \(\begin{array}{l}K_{2}\underline{Mn}O_{4}\end{array} \)
(e) \(\begin{array}{l}Ca\underline{O}_{2}\end{array} \)
(f) \(\begin{array}{l}Na\underline{B}H_{4}\end{array} \)
(g) \(\begin{array}{l}H_{2}\underline{S}_{2}O_{7}\end{array} \)
(h) \(\begin{array}{l}KAl(\underline{S}O_{4})_{2}.12H_{2}O\end{array} \)
Answer:
(a)Â \(\begin{array}{l}NaH_2\underline{P}O_4\end{array} \)
Let x be the oxidation no. of P.
Oxidation no. of Na = +1
Oxidation no. of H = +1
Oxidation no. of O = -2
Then,
1(+1) + 2(+1) + 1(x) + 4(-2) = 0
1 + 2 + x -8 = 0
x = +5
Therefore, oxidation no. of P is +5.
(b)Â \(\begin{array}{l}NaH\underline{S}O_{4}\end{array} \)
Let x be the oxidation no. of S.
Oxidation no. of Na = +1
Oxidation no. of H = +1
Oxidation no. of O = -2
Then,
1(+1) + 1(+1) + 1(x) + 4(-2) = 0
1 + 1 + x -8 = 0
x = +6
Therefore, oxidation no. of S is +6.
(c) \(\begin{array}{l}H_{4}\underline{P}_{2}O_{7}\end{array} \)
Let x be the oxidation no. of P.
Oxidation no. of H = +1
Oxidation no. of O = -2
Then,
4(+1) + 2(x) + 7(-2) = 0
4 + 2x – 14 = 0
2x = +10
x = +5
Therefore, oxidation no. of P is +5.
(d) \(\begin{array}{l}K_{2}\underline{Mn}O_{4}\end{array} \)
Let x be the oxidation no. of Mn.
Oxidation no. of K = +1
Oxidation no. of O = -2
Then,
2(+1) + x + 4(-2) = 0
2 + x – 8 = 0
x = +6
Therefore, oxidation no. of Mn is +6.
(e) \(\begin{array}{l}Ca\underline{O}_{2}\end{array} \)
Let x be the oxidation no. of O.
Oxidation no. of Ca = +2
Then,
(+2) + 2(x) = 0
2 + 2x = 0
2x = -2
x = -1
Therefore, oxidation no. of O is -1.
(f) \(\begin{array}{l}Na\underline{B}H_{4}\end{array} \)
Let x be the oxidation no. of B.
Oxidation no. of Na = +1
Oxidation no. of H = -1
Then,
1(+1) + 1(x) + 4(-1) = 0
1 + x -4 = 0
x = +3
Therefore, oxidation no. of B is +3.
(g) \(\begin{array}{l}H_{2}\underline{S}_{2}O_{7}\end{array} \)
Let x be the oxidation no. of S.
Oxidation no. of H = +1
Oxidation no. of O = -2
Then,
2(+1) + 2(x) + 7(-2) = 0
2 + 2x – 14 = 0
2x = +12
x = +6
Therefore, oxidation no. of S is +6.
(h) \(\begin{array}{l}KAl(\underline{S}O_{4})_{2}.12H_{2}O\end{array} \)
Let x be the oxidation no. of S.
Oxidation no. of K = +1
Oxidation no. of Al = +3
Oxidation no. of O= -2
Oxidation no. of H = +1
Then,
1(+1) + 1(+3) + 2(x) + 8(-2) + 24(+1) + 12(-2) = 0
1 + 3 + 2x – 16 + 24 – 24 = 0
2x = +12
x = +6
Therefore, oxidation no. of S is +6.
OR
Ignore the water molecules because it is neutral. Then, the summation of the oxidation no. of all atoms of water molecules can be taken as 0. Hence, ignore the water molecule.
1(+1) + 1(+3) + 2(x) + 8(-2) = 0
1 + 3 + 2x -16 = 0
2x = 12
x = +6
Therefore, oxidation no. of S is +6.
2.What are the oxidation numbers of the underlined elements in each of the following and how do you rationalise your results?
(a) \(\begin{array}{l}K\underline{I}_{3}\end{array} \)
(b) \(\begin{array}{l}H_{2}\underline{S}_{4}O_{6}\end{array} \)
(c) \(\begin{array}{l}\underline{Fe}_{3}O_{4}\end{array} \)
(d) \(\begin{array}{l}\underline{C}H_{3}\underline{C}H_{2}OH\end{array} \)
(e) \(\begin{array}{l}\underline{C}H_{3}\underline{C}OOH\end{array} \)
Answer:
(a) \(\begin{array}{l}K\underline{I}_{3}\end{array} \)
Let x be the oxidation no. of I.
Oxidation no. of K = +1
Then,
1(+1) + 3(x) = 0
1 + 3x = 0
x =
\(\begin{array}{l}-\frac{1}{3}\end{array} \)
Oxidation no. cannot be fractional. Hence, consider the structure of
\(\begin{array}{l}KI_{3}\end{array} \)
.
In
\(\begin{array}{l}KI_{3}\end{array} \)
molecule, an iodine atom forms a coordinate covalent bond with an iodine molecule.
Therefore, in
\(\begin{array}{l}KI_{3}\end{array} \)
molecule, the oxidation no. of I atoms forming the molecule \(\begin{array}{l}I_{2}\end{array} \)
is 0, while the oxidation no. of I atom, which is forming coordinate bond is -1.
(b) \(\begin{array}{l}H_{2}\underline{S}_{4}O_{6}\end{array} \)
Let x be the oxidation no. of S.
Oxidation no. of H = +1
Oxidation no. of O = -2
Then,
2(+1) + 4(x) + 6(-2) = 0
2 + 4x -12 = 0
4x = 10
x =
\(\begin{array}{l}+2\frac{1}{2}\end{array} \)
Oxidation no. cannot be fractional. Therefore, S would be present with different oxidation states in the molecule.
The oxidation no. of two out of the four S atoms is +5 while that of the other two atoms is 0.
(c) \(\begin{array}{l}\underline{Fe}_{3}O_{4}\end{array} \)
Let x be the oxidation no. of Fe.
Oxidation no. of O = -2
Then,
3(x) + 4(-2) = 0
3x -8 = 0
x =
\(\begin{array}{l}\frac{8}{3}\end{array} \)
Oxidation no. cannot be fractional.
One of the three atoms of Fe has oxidation no. +2 and the other two atoms of Fe have oxidation no. +3.
(d) \(\begin{array}{l}\underline{C}H_{3}\underline{C}H_{2}OH\end{array} \)
Let x be the oxidation no. of C.
Oxidation no. of O= -2
Oxidation no. of H = +1
Then,
2(x) + 4(+1) + 1(-2) = 0
2x + 4 -2 = 0
x = -2
Therefore, oxidation no. of C is -2.
(e) \(\begin{array}{l}\underline{C}H_{3}\underline{C}OOH\end{array} \)
Let x be the oxidation no. of C.
Oxidation no. of O= -2
Oxidation no. of H = +1
Then,
2(x) + 4(+1) + 2(-2) = 0
2x + 4 -4 = 0
x = 0
Therefore, the average oxidation no. of C is 0. Both the carbon atoms are present in different environments, so they cannot have the same oxidation no. Therefore, carbon has oxidation no. of +2 and _2 in
\(\begin{array}{l}CH_{3}COOH\end{array} \)
.
3. Justify that the following reactions are redox reactions:
(a) \(\begin{array}{l}CuO_{(s)} \; + \; H_{2 \; (g)} \; \rightarrow \; Cu_{(s)} \; + \; H_{2}O_{(g)}\end{array} \)
(b) \(\begin{array}{l}Fe_{2}O_{3 \; (s)} \; + \; 3 \; CO_{(g)} \; \rightarrow \; 2 \; Fe_{(s)} \; + \; 3 \; CO_{2 \; (g)}\end{array} \)
(c)\(\begin{array}{l}4 \; BCl_{3 \; (g)} \; + \; 3 \; LiAlH_{4 \; (s)} \; \rightarrow \; 2 \; B_{2}H_{6 \; (g)} \; + \; 3 \; LiCl_{(s)} \; + \; 3 \; AlCl_{3 \; (s)}\end{array} \)
(d) \(\begin{array}{l}2\;K_{(s)}\;+\;F_{2\;(g)}\;\rightarrow\;2\;K\;+\;F_{(s)}\end{array} \)
(e) \(\begin{array}{l}4\;NH_{3\;(g)}\;+\;5\;O_{2\;(g)}\;\rightarrow \; 4 Â \;NO_{(g)}\;+\;6\;H_{2}O_{(g)}\end{array} \)
Answer:
(a)Â \(\begin{array}{l}CuO_{(s)} \; + \; H_{2 \; (g)} \; \rightarrow \; Cu_{(s)} \; + \; H_{2}O_{(g)}\end{array} \)
Oxidation no. of Cu and O in
\(\begin{array}{l}CuO\end{array} \)
is +2 and -2, respectively.
Oxidation no. of
\(\begin{array}{l}H_{2}\end{array} \)
is 0.
Oxidation no. of Cu is 0.
Oxidation no. of H and O in
\(\begin{array}{l}H_{2}O\end{array} \)
is +1 and -2, respectively.
The oxidation no. of Cu decreased from +2 in
\(\begin{array}{l}CuO\end{array} \)
to 0 in Cu. That is \(\begin{array}{l}CuO\end{array} \)
is reduced to Cu.
The oxidation no. of H increased from 0 to +1 in
\(\begin{array}{l}H_{2}\end{array} \)
. That is \(\begin{array}{l}H_{2}\end{array} \)
is oxidized to \(\begin{array}{l}H_{2}O\end{array} \)
.
Therefore, the reaction is a redox reaction.
(b)Â \(\begin{array}{l}Fe_{2}O_{3 \; (s)} \; + \; 3 \; CO_{(g)} \; \rightarrow \; 2 \; Fe_{(s)} \; + \; 3 \; CO_{2 \; (g)}\end{array} \)
In the above reaction,
Oxidation no. of Fe and O in
\(\begin{array}{l}Fe_{2}O_{3}\end{array} \)
is +3 and -2, respectively.
Oxidation no. of C and O in CO is +2 and -2, respectively.
Oxidation no. of Fe is 0.
Oxidation no. of C and O in
\(\begin{array}{l}CO_{2}\end{array} \)
is +4 and -2, respectively.
The oxidation no. of Fe decreased from +3 in
\(\begin{array}{l}Fe_{2}O_{3}\end{array} \)
to 0 in Fe. That is \(\begin{array}{l}Fe_{2}O_{3}\end{array} \)
is reduced to Fe.
The oxidation no. of C increased from 0 to +2 in CO to +4 in
\(\begin{array}{l}CO_{ 2 }\end{array} \)
. That is, CO is oxidized to \(\begin{array}{l}CO_{ 2 }\end{array} \)
.
Therefore, the reaction is a redox reaction.
(c)Â \(\begin{array}{l}4 \; BCl_{3 \; (g)} \; + \; 3 \; LiAlH_{4 \; (s)} \; \rightarrow \; 2 \; B_{2}H_{6 \; (g)} \; + \; 3 \; LiCl_{(s)} \; + \; 3 \; AlCl_{3 \; (s)}\end{array} \)
the above reaction,
Oxidation no. of B and Cl in
\(\begin{array}{l}BCl_{3}\end{array} \)
is +3 and -1, respectively.
Oxidation no. of Li, Al and H in
\(\begin{array}{l}LiAlH_{4}\end{array} \)
is +1, +3 and -1, respectively.
Oxidation no. of B and H in
\(\begin{array}{l}B_{2}H_{6}\end{array} \)
is -3 and +1, respectively.
Oxidation no. of Li and Cl in LiCl is +1 and -1, respectively.
Oxidation no. of Al and Cl in
\(\begin{array}{l}AlCl_{3}\end{array} \)
is +3 and -1, respectively.
The oxidation no. of B decreased from +3 in
\(\begin{array}{l}BCl_{3}\end{array} \)
to -3 in \(\begin{array}{l}B_{2}H_{6}\end{array} \)
. That is \(\begin{array}{l}BCl_{3}\end{array} \)
is reduced to \(\begin{array}{l}B_{2}H_{6}\end{array} \)
.
The oxidation no. of H increased from -1 in
\(\begin{array}{l}LiAlH_{4}\end{array} \)
to +1 in \(\begin{array}{l}B_{2}H_{6}\end{array} \)
. That is \(\begin{array}{l}LiAlH_{4}\end{array} \)
is oxidized to \(\begin{array}{l}B_{2}H_{6}\end{array} \)
.
Therefore, the reaction is a redox reaction.
(d)Â \(\begin{array}{l}2 \; K_{(s)} \; + \; F_{2 \; (g)} \; \rightarrow \; 2 \; K \; + \; F_{(s)}\end{array} \)
In the above reaction,
Oxidation no. of K is 0.
Oxidation no. of F is 0.
Oxidation no. of K and F in KF is +1 and -1, respectively.
The oxidation no. of K increased from 0 in K to +1 in KF. That is K is oxidized to KF.
The oxidation no. of F decreased from 0 in
\(\begin{array}{l}F_{2}\end{array} \)
to -1 in KF. That is \(\begin{array}{l}F_{2}\end{array} \)
is reduced to KF.
Therefore, the reaction is a redox reaction.
(e)Â \(\begin{array}{l}4 \; NH_{3 \; (g)} \; + \; 5 \; O_{2 \; (g)} \; \rightarrow \; 4 \; NO_{(g)} \; + \; 6 \; H_{2}O_{(g)}\end{array} \)
In the above reaction,
Oxidation no. of N and H in
\(\begin{array}{l}NH_{3}\end{array} \)
is -3 and +1, respectively.
Oxidation no. of
\(\begin{array}{l}O_{2}\end{array} \)
is 0.
Oxidation no. of N and O in NO is +2 and -2, respectively.
Oxidation no. of H and O in
\(\begin{array}{l}H_{2}O\end{array} \)
is +1 and -2, respectively.
The oxidation no. of N increased from -3 in
\(\begin{array}{l}NH_{ 3 }\end{array} \)
to +2 in NO.
The oxidation no. of
\(\begin{array}{l}O_{2}\end{array} \)
decreased from 0 in \(\begin{array}{l}O_{ 2 }\end{array} \)
to -2 in NO and \(\begin{array}{l}H_{ 2 }O\end{array} \)
. That is \(\begin{array}{l}O_{ 2 }\end{array} \)
is reduced.
Therefore, the reaction is a redox reaction.
4. Fluorine reacts with ice and results in the change:Â
\(\begin{array}{l}H_{ 2 }O_{ (s) } \; + \; F_{ 2 \; (g) } \; \rightarrow \; HF_{ (g) } \; + \; HOF_{ (g) }\end{array} \)
Justify that this reaction is a redox reaction
Answer:
\(\begin{array}{l}H_{ 2 }O_{ (s) } \; + \; F_{ 2 \; (g) } \; \rightarrow \; HF_{ (g) } \; + \; HOF_{ (g) }\end{array} \)
In the above reaction,
Oxidation no. of H and O in
\(\begin{array}{l}H_{ 2 }O\end{array} \)
is +1 and -2, respectively.
Oxidation no. of
\(\begin{array}{l}F_{ 2 }\end{array} \)
is 0.
Oxidation no. of H and F in HF is +1 and -1, respectively.
Oxidation no. of H, O and F in HOF is +1, -2 and +1, respectively.
The oxidation no. of F increased from 0 in
\(\begin{array}{l}F_{ 2 }\end{array} \)
to +1 in HOF.
The oxidation no. of F decreased from 0 in
\(\begin{array}{l}O_{ 2 }\end{array} \)
to -1 in HF.
Therefore, F is both reduced as well as oxidized. So, it is a redox reaction.
5. Calculate the oxidation no. of sulphur, chromium and nitrogen in \(\begin{array}{l}H_{ 2 }SO_{ 5 }\end{array} \)
, \(\begin{array}{l}Cr_{ 2 }O_{ 7 }^{ 2- }\end{array} \)
and \(\begin{array}{l}NO_{ 3 }^{ – }\end{array} \)
. Suggest structure of these compounds. Count for the fallacy.
Answer:
For
\(\begin{array}{l}H_{ 2 }SO_{ 5 }\end{array} \)
Let x be the oxidation no. of S.
Oxidation no. of O= -2
Oxidation no. of H = +1
Then,
2(+1) + 1(x) + 5(-2) = 0
2 + x – 10 = 0
x = +8
But the oxidation no. of S cannot be +8 as S has 6 valence electrons. Therefore, the oxidation no. of S cannot be more than +6.
The structure of
\(\begin{array}{l}H_{ 2 }SO_{ 5 }\end{array} \)
is as given below:
Now,
2(+1) + 1(x) + 3(-2) + 2(-1) = 0
2 + x – 6 – 2 = 0
x = +6
Therefore, the oxidation no. of S is +6.
For
\(\begin{array}{l}Cr_{ 2 }O_{ 7 }^{ 2- }\end{array} \)
Let x be the oxidation no. of Cr.
Oxidation no. of O= -2
Then,
2(x) + 7(-2) = -2
2x -14 = -2
x = +6
There is no fallacy about the oxidation no. of Cr in
\(\begin{array}{l}Cr_{ 2 }O_{ 7 }^{ 2- }\end{array} \)
.
The structure of
\(\begin{array}{l}Cr_{ 2 }O_{ 7 }^{ 2- }\end{array} \)
is as given below.
Each of the two Cr atoms has the oxidation no. of +6.
For
\(\begin{array}{l}NO_{ 3 }^{ – }\end{array} \)
Let x be the oxidation no. of N.
Oxidation no. of O= -2
Then,
1(x) + 3(-2) = -1
x – 6 = -1
x = +5
There is no fallacy about the oxidation no. of N in
\(\begin{array}{l}NO_{ 3 }^{ – }\end{array} \)
.
The structure of
\(\begin{array}{l}NO_{ 3 }^{ – }\end{array} \)
is as given below.
Nitrogen atom has the oxidation no. of +5.
6. Write formulas for the following compounds:
(a) Mercury (II) chloride      (b) Nickel (II) sulphate
(c) Tin (IV) oxide              (d) Thallium (I) sulphate
(e) Iron (III) sulphate         (f) Chromium (III) oxide
Answer:
(a) Mercury (II) chloride
\(\begin{array}{l}HgCl_{ 2 }\end{array} \)
(b) Nickel (II) sulphate
\(\begin{array}{l}NiSO_{ 4 }\end{array} \)
(c) Tin (IV) oxide
\(\begin{array}{l}SnO_{ 2 }\end{array} \)
(d) Thallium (I) sulphate
\(\begin{array}{l}Tl_{ 2 }SO_{ 4 }\end{array} \)
(e) Iron (III) sulphate
\(\begin{array}{l}Fe_{ 2 }(SO_{ 4 })_{ 3 }\end{array} \)
(f) Chromium (III) oxide
\(\begin{array}{l}Cr_{ 2 }O_{ 3 }\end{array} \)
7. Suggest a list of the substances where carbon can exhibit oxidation states from –4 to +4 and nitrogen from –3 to +5.
Answer:
The compound where carbon has oxidation no. from -4 to +4 is as given below in the table:
| Compounds |
Oxidation no. of carbon |
\(\begin{array}{l}CH_{ 2 }Cl_{ 2 }\end{array} \) |
0 |
\(\begin{array}{l}HC\equiv CH\end{array} \) |
-1 |
\(\begin{array}{l}ClC\equiv CCl\end{array} \) |
+1 |
\(\begin{array}{l}CH_{ 3 }Cl\end{array} \) |
-2 |
\(\begin{array}{l}CHCl_{ 3 }\end{array} \) , CO |
+2 |
\(\begin{array}{l}H_{ 3 }C-CH_{ 3 }\end{array} \) |
-3 |
\(\begin{array}{l}Cl_{ 3 }C-CCl_{ 3 }\end{array} \) |
+3 |
\(\begin{array}{l}CH_{ 4 }\end{array} \) |
-4 |
\(\begin{array}{l}CCl_{ 4 }\end{array} \) , \(\begin{array}{l}CO_{ 2 }\end{array} \) |
+4 |
| Compounds |
Oxidation no. of nitrogen |
\(\begin{array}{l}N_{ 2 }\end{array} \) |
0 |
\(\begin{array}{l}N_{ 2 }H_{ 2 }\end{array} \) |
-1 |
\(\begin{array}{l}N_{ 2 }O\end{array} \) |
+1 |
\(\begin{array}{l}N_{ 2 }H_{ 4 }\end{array} \) |
-2 |
\(\begin{array}{l}NO\end{array} \) |
+2 |
\(\begin{array}{l}NH_{ 3 }\end{array} \) |
-3 |
\(\begin{array}{l}N_{ 2 }O_{ 3 }\end{array} \) |
+3 |
\(\begin{array}{l}NO_{ 2 }\end{array} \) |
+4 |
\(\begin{array}{l}N_{ 2 }O_{ 5 }\end{array} \) |
+5 |
 8. While sulphur dioxide and hydrogen peroxide can act as oxidising as well as reducing agents in their reactions, ozone and nitric acid act only as oxidants. Why?
Answer:
In sulphur dioxide (
\(\begin{array}{l}SO_{ 2 }\end{array} \)
), the oxidation no. of S is +4, and the range of oxidation no. of sulphur is from +6 to -2.
Hence,
\(\begin{array}{l}SO_{ 2 }\end{array} \)
can act as a reducing and oxidising agent.
In hydrogen peroxide (
\(\begin{array}{l}H_{ 2 }O_{ 2 }\end{array} \)
), the oxidation no. of O is -1, and the range of the oxidation no. of oxygen is from 0 to -2. Oxygen can sometimes attain oxidation no. +1 and +2.
Therefore,
\(\begin{array}{l}H_{ 2 }O_{ 2 }\end{array} \)
can act as a reducing and oxidising agent.
In ozone (
\(\begin{array}{l}O_{ 3 }\end{array} \)
), the oxidation no. of O is 0, and the range of the oxidation no. of oxygen is from 0 to –2. Hence, the oxidation no. of oxygen only decreases in this case.
Therefore,
\(\begin{array}{l}O_{ 3 }\end{array} \)
acts only as an oxidant.
In nitric acid (
\(\begin{array}{l}HNO_{ 3 }\end{array} \)
), the oxidation no. of nitrogen is +5, and the range of the oxidation no. that nitrogen can have is from +5 to -3. Hence, the oxidation no. of nitrogen can only decrease in this case.
Therefore,
\(\begin{array}{l}HNO_{ 3 }\end{array} \)
acts only as an oxidant.
9.Consider the reactions:
(a) \(\begin{array}{l}6 \; CO_{ 2 \; (g) } \; + \; 6 \; H_{ 2 }O_{ (l) } \; \rightarrow \; C_{ 6 }H_{ 12 }O_{ 6 \; (aq) } \; + \; 6 \; O_{ 2 \; (g) }\end{array} \)
(b) \(\begin{array}{l}O_{ 3 \; (g) } \; + H_{ 2 }O_{ 2 \; (l) } \; \rightarrow \; H_{ 2 }O_{ (l) } \; + \; 2 \; O_{ 2 \; (g) }\end{array} \)
Why it is more appropriate to write these reactions as :
(a) \(\begin{array}{l}6 \; CO_{ 2 \; (g) } \; + \; 12 \; H_{ 2 }O_{ (l) } \; \rightarrow \; C_{ 6 }H_{ 12 }O_{ 6 \; (aq) } \; + \; 6 \; H_{ 2 }O_{ (l) } \; + \; 6 \; O_{ 2 \; (g) }\end{array} \)
(b) \(\begin{array}{l}O_{ 3 \; (g) } \; + H_{ 2 }O_{ 2 \; (l) } \; \rightarrow \; H_{ 2 }O_{ (l) } \; + \; O_{ 2 \; (g) } \; + \; O_{ 2 \; (g) }\end{array} \)
Also suggest a technique to investigate the path of the above (a) and (b) redox reactions
Answer:
(a)
Step 1 :
\(\begin{array}{l}H_{ 2 }O\end{array} \)
breaks to give \(\begin{array}{l}H_{ 2 }\end{array} \)
and \(\begin{array}{l}O_{ 2 }\end{array} \)
.
\(\begin{array}{l}2 \; H_{ 2 }O_{ (l) } \; \rightarrow \; 2 \; H_{ 2 \; (g) } \; + \; O_{ 2 \; (g) }\end{array} \)
Step 2 :
The
\(\begin{array}{l}H_{ 2 }\end{array} \)
produced in earlier step reduces  \(\begin{array}{l}CO_{ 2 }\end{array} \)
, thus produce glucose and water.
\(\begin{array}{l}6 \; CO_{ 2 \; (g) } \; + \; 12 \; H_{ 2 \; (g) } \; \rightarrow \; C_{ 6 }H_{ 12 }O_{ 6 \; (s) } \; + \; 6 \; H_{ 2 }O_{ (l) }\end{array} \)
The net reaction is as given below:
[\(\begin{array}{l}2 \; H_{ 2 }O_{ (l) } \; \rightarrow \; 2 \; H_{ 2 \; (g) } \; + \; O_{ 2 \; (g) }\end{array} \)
] × 6
\(\begin{array}{l}6 \; CO_{ 2 \; (g) } \; + \; 12 \; H_{ 2 \; (g) } \; \rightarrow \; C_{ 6 }H_{ 12 }O_{ 6 \; (s) } \; + \; 6 \; H_{ 2 }O_{ (l) }\end{array} \)
————————————————————————————————————————–
\(\begin{array}{l}6 \; CO_{ 2 \; (g) } \; + \; 12 \; H_{ 2 }O_{ (l) } \; \rightarrow \; C_{ 6 }H_{ 12 }O_{ 6 \; (g) } \; + \; 6 \; H_{ 2 }O_{ (l) } \; + \; 6 \; O_{ 2 \; (g) }\end{array} \)
This is the suitable way to write the reaction as the reaction also produces water molecules in the photosynthesis process.
The path can be found with the help of radioactive
\(\begin{array}{l}H_{ 2 }O^{ 18 }\end{array} \)
instead of \(\begin{array}{l}H_{ 2 }O\end{array} \)
.
(b)
Step 1 :
\(\begin{array}{l}O_{ 2 }\end{array} \)
is produced from each of the reactants \(\begin{array}{l}O_{ 3 }\end{array} \)
and \(\begin{array}{l}H_{ 2 }O_{ 2 }\end{array} \)
. That is the reason \(\begin{array}{l}O_{ 2 }\end{array} \)
is written two times.
\(\begin{array}{l}O_{ 3 }\end{array} \)
breaks to form \(\begin{array}{l}O_{ 2 }\end{array} \)
and O.
Step 2 :
\(\begin{array}{l}H_{ 2 }O_{ 2 }\end{array} \)
reacts with O produced in the earlier step, thus producing \(\begin{array}{l}H_{ 2 }O\end{array} \)
and \(\begin{array}{l}O_{ 2 }\end{array} \)
.
\(\begin{array}{l}O_{ 3 \; (g) } \; \rightarrow \; O_{ 2 \; (g) } \; + \; O_{ (g) }\;\end{array} \)
\(\begin{array}{l}\;H_{ 2 }O_{ 2 \; (l) } \; + \; O_{ (g) } \; \rightarrow \; H_{ 2 }O_{ (l) } \; + \; O_{ 2 \; (g) }\end{array} \)
———————————————————————————————-
\(\begin{array}{l}H_{ 2 }O_{ 2 \; (l) } \; + \; O_{ 3 \; (g) } \; \rightarrow \; H_{ 2 }O_{ (l) } \; + \; O_{ 2 \; (g) } \; + \; O_{ 2 \; (g) }\end{array} \)
The path can be found with the help of
\(\begin{array}{l}H_{ 2 }O_{ 2 }^{ 18 }\end{array} \)
or \(\begin{array}{l}O_{ 3 }^{ 18 }\end{array} \)
.
10. The compound AgF2 is unstable compound. However, if formed, the compound acts as a very strong oxidising agent. Why?
Answer:
The oxidation no. of Ag in
\(\begin{array}{l}AgF_{ 2 }\end{array} \)
is +2. But, +2 is very unstable oxidation no. of Ag. Hence, when \(\begin{array}{l}AgF_{ 2 }\end{array} \)
is formed, silver accepts an electron and forms \(\begin{array}{l}Ag^{ + }\end{array} \)
. This decreases the oxidation no. of Ag from +2 to +1. +1 state is more stable. Therefore, \(\begin{array}{l}AgF_{ 2 }\end{array} \)
acts as a very strong oxidizing agent.
11. Whenever a reaction between an oxidising agent and a reducing agent is carried out, a compound of lower oxidation state is formed if the reducing agent is in excess and a compound of higher oxidation state is formed if the oxidising agent is in excess. Justify this statement giving three illustrations.
Justify the above statement with three examples.
Answer:
When there is a reaction between a reducing agent and an oxidizing agent, a compound is formed, which has a lower oxidation number if the reducing agent is in excess. A compound is formed which has a higher oxidation number if the oxidizing agent is in excess.
(i) \(\begin{array}{l}P_{ 4 }\end{array} \)
and \(\begin{array}{l}F_{ 2 }\end{array} \)
are reducing and oxidizing agent respectively.
In an excess amount of \(\begin{array}{l}P_{ 4 }\end{array} \)
is reacted with \(\begin{array}{l}F_{ 2 }\end{array} \)
, then \(\begin{array}{l}PF_{ 3 }\end{array} \)
would be produced, where the oxidation no. of P is +3.
\(\begin{array}{l}P_{ 4 } \; _{(excess)}\; + \; F_{ 2 } \; \rightarrow \; PF_{ 3 }\end{array} \)
If \(\begin{array}{l}P_{ 4 }\end{array} \)
is reacted with excess of \(\begin{array}{l}F_{ 2 }\end{array} \)
, then \(\begin{array}{l}PF_{ 5 }\end{array} \)
would be produced, where the oxidation no. of P is +5.
\(\begin{array}{l}P_{ 4 } \; + \; F_{ 2 } \; _{(excess)} \; \rightarrow \; PF_{ 5 }\end{array} \)
(ii) K and \(\begin{array}{l}O_{ 2 }\end{array} \)
acts as a reducing agent and oxidizing agent respectively.
If an excess of K reacts with \(\begin{array}{l}O_{ 2 }\end{array} \)
, it produces \(\begin{array}{l}K_{ 2 }O\end{array} \)
. Here, the oxidation number of O is -2.
\(\begin{array}{l}4 \; K \; _{(excess)} \; + \; O_{ 2 } \; \rightarrow \; 2 \; K_{ 2 }O^{ -2 }\end{array} \)
If K reacts with an excess of \(\begin{array}{l}O_{ 2 }\end{array} \)
, it produces \(\begin{array}{l}K_{ 2 }O_{ 2 }\end{array} \)
, where the oxidation number of O is –1.
\(\begin{array}{l}2 \; K \; + \; O_{ 2 } \; _{(excess)} \; \rightarrow \; K_{ 2 }O_{ 2 }^{ -1 }\end{array} \)
(iii) C and \(\begin{array}{l}O_{ 2 }\end{array} \)
acts as a reducing agent and oxidizing agent respectively.
If an excess amount of C is reacted with an insufficient amount of \(\begin{array}{l}O_{ 2 }\end{array} \)
, then it produces CO, where the oxidation number of C is +2.
\(\begin{array}{l}C \; _{(excess)} \; + \; O_{ 2 } \; \rightarrow \; CO\end{array} \)
If C is burnt in excess amount of \(\begin{array}{l}O_{ 2 }\end{array} \)
, then \(\begin{array}{l}CO_{ 2 }\end{array} \)
is produced, where the oxidation number of C is +4.
\(\begin{array}{l}C \; + \; O_{ 2 } \; _{(excess)} \; \rightarrow \; CO_{ 2 }\end{array} \)
12. How do you count for the following observations?
(a) Though alkaline potassium permanganate and acidic potassium permanganate both are used as oxidants, yet in the manufacture of benzoic acid from toluene we use alcoholic potassium permanganate as an oxidant. Why? Write a balanced redox equation for the reaction.
(b) When concentrated sulphuric acid is added to an inorganic mixture containing chloride, we get colourless pungent smelling gas HCl, but if the mixture contains bromide then we get red vapour of bromine. Why?
Answer:
(a) While manufacturing benzoic acid from toluene, alcoholic potassium permanganate is used as an oxidant due to the given reasons.
(i) In a neutral medium, \(\begin{array}{l}OH^{ – }\end{array} \)
ions are produced in the reaction. Due to that, the cost of adding an acid or a base can be reduced.
(ii) \(\begin{array}{l}KMnO_{ 4 }\end{array} \)
and alcohol are homogeneous to each other as they are polar. Alcohol and toluene are homogeneous to each other because both are organic compounds. Reactions can proceed at a faster rate in a homogeneous medium compared to a heterogeneous medium. Therefore, in alcohol, \(\begin{array}{l}KMnO_{ 4 }\end{array} \)
and toluene can react at a faster rate.
The redox reaction is as given below:
(b) When concentrated \(\begin{array}{l}H_{ 2 }SO_{ 4 }\end{array} \)
is added to an inorganic mixture containing bromide, firstly HBr is produced. HBr, a strong reducing agent, reduces \(\begin{array}{l}H_{ 2 }SO_{ 4 }\end{array} \)
to \(\begin{array}{l}SO_{ 2 }\end{array} \)
with the evolution of bromine’s red vapour.
\(\begin{array}{l}2 \; NaBr \; + \; 2 \; H_{ 2 }SO_{ 4 } \; \rightarrow \; 2 \; NaHSO_{ 4 } \; + \; 2 \; HBr\end{array} \)
\(\begin{array}{l}2 \; HBr \; + \; H_{ 2 }SO_{ 4 } \; \rightarrow \; Br_{ 2 } \; + \; SO_{ 2 } \; + \; 2 \; H_{ 2 }O\end{array} \)
When concentrated \(\begin{array}{l}H_{ 2 }SO_{ 4 }\end{array} \)
I added to an inorganic mixture containing chloride, a pungent smelling gas (HCl) is evolved. HCl, a weak reducing agent, cannot reduce \(\begin{array}{l}H_{ 2 }SO_{ 4 }\end{array} \)
to \(\begin{array}{l}SO_{ 2 }\end{array} \)
.
\(\begin{array}{l}2 \; NaCl \; + \; 2 \; H_{ 2 }SO_{ 4 } \; \rightarrow \; 2 \; NaHSO_{ 4 } \; + \; 2 \; HCl\end{array} \)
13. Identify the substance oxidised, reduced, oxidising agent and reducing agent for each of the following reactions:
(a)
\(\begin{array}{l}2 \; AgBr_{ (s) } \; + \; C_{ 6 }H_{ 6 }O_{ 2 \; (aq) } \; \rightarrow \; 2 \; Ag_{ (s) } \; + \; 2 \; HBr_{ (aq)} \; + \; C_{ 6 }H_{ 4 }O_{ 2 \; (aq) }\end{array} \)
(b)
\(\begin{array}{l}HCHO_{ (l) } \; + \; 2 \; [Ag(NH_{ 3 })_{ 2 }]^{ + }_{ (aq) } \; + \; 3 \; OH^{ – }_{ (aq) } \; \rightarrow \; 2 \; Ag_{ (s) } \; + \; HCOO^{ – }_{ (aq) } \; + \; 4 \; NH_{ 3 \; (aq) } \; + \; 2 \; H_{ 2 }O_{ (l) }\end{array} \)
(c)
\(\begin{array}{l}HCHO_{ (l) } \; + \; 2 \; Cu^{ 2+ }_{ (aq) } \; + \; 5 \; OH^{ – }_{ (aq) } \; \rightarrow \; Cu_{ 2 }O_{ (s) } \; + \; HCOO^{ – }_{ (aq) } \; + \; 3 \; H_{ 2 }O_{ (l) }\end{array} \)
(d)
\(\begin{array}{l}N_{ 2 }H_{ 4 \; (l) } \; + \; 2 \; H_{ 2 }O_{ 2 \; (l) } \; \rightarrow \; N_{ 2 \; (g) } \; + \; 4 \; H_{ 2 }O_{ (l) }\end{array} \)
(e)
\(\begin{array}{l}Pb_{ (s) } \; + \; PbO_{ 2 \; (s) } \; + \; 2 \; H_{ 2 }SO_{ 4 \; (aq) } \; \rightarrow \; 2 \; PbSO_{ 4 \; (aq) } \; + \; 2 \; H_{ 2 }O_{ (l) }\end{array} \)
Answer:
(a) \(\begin{array}{l}2 \; AgBr_{ (s) } \; + \; C_{ 6 }H_{ 6 }O_{ 2 \; (aq) } \; \rightarrow \; 2 \; Ag_{ (s) } \; + \; 2 \; HBr_{ (aq)} \; + \; C_{ 6 }H_{ 4 }O_{ 2 \; (aq) }\end{array} \)
\(\begin{array}{l}C_{ 6 }H_{ 6 }O_{ 2 }\end{array} \)
=> Oxidized substance
AgBr => Reduced substance
AgBr =>Oxidizing agent
\(\begin{array}{l}C_{ 6 }H_{ 6 }O_{ 2 }\end{array} \)
=> Reducing agent
(b) \(\begin{array}{l}HCHO_{ (l) } \; + \; 2 \; [Ag(NH_{ 3 })_{ 2 }]^{ + }_{ (aq) } \; + \; 3 \; OH^{ – }_{ (aq) } \; \rightarrow \; 2 \; Ag_{ (s) } \; + \; HCOO^{ – }_{ (aq) } \; + \; 4 \; NH_{ 3 \; (aq) } \; + \; 2 \; H_{ 2 }O_{ (l) }\end{array} \)
HCHO => Oxidized substance
\(\begin{array}{l}[Ag(NH_{ 3 })_{ 2 }]^{ + }\end{array} \)
=> Reduced substance
\(\begin{array}{l}[Ag(NH_{ 3 })_{ 2 }]^{ + }\end{array} \)
=> Oxidizing agent
HCHO=> Reducing agent
(c) \(\begin{array}{l}HCHO_{ (l) } \; + \; 2 \; Cu^{ 2+ }_{ (aq) } \; + \; 5 \; OH^{ – }_{ (aq) } \; \rightarrow \; Cu_{ 2 }O_{ (s) } \; + \; HCOO^{ – }_{ (aq) } \; + \; 3 \; H_{ 2 }O_{ (l) }\end{array} \)
HCHO => Oxidized substance
\(\begin{array}{l}Cu^{ 2+ }\end{array} \)
=> Reduced substance
\(\begin{array}{l}Cu^{ 2+ }\end{array} \)
=> Oxidizing agent
HCHO => Reducing agent
(d) \(\begin{array}{l}N_{ 2 }H_{ 4 \; (l) } \; + \; 2 \; H_{ 2 }O_{ 2 \; (l) } \; \rightarrow \; N_{ 2 \; (g) } \; + \; 4 \; H_{ 2 }O_{ (l) }\end{array} \)
\(\begin{array}{l}N_{ 2 }H_{ 4 }\end{array} \)
=> Oxidized substance
\(\begin{array}{l}H_{ 2 }O_{ 2 }\end{array} \)
=> Reduced substance
\(\begin{array}{l}H_{ 2 }O_{ 2 }\end{array} \)
=> Oxidizing agent
\(\begin{array}{l}N_{ 2 }H_{ 4 }\end{array} \)
=> Reducing agent
(e) \(\begin{array}{l}Pb_{ (s) } \; + \; PbO_{ 2 \; (s) } \; + \; 2 \; H_{ 2 }SO_{ 4 \; (aq) } \; \rightarrow \; 2 \; PbSO_{ 4 \; (aq) } \; + \; 2 \; H_{ 2 }O_{ (l) }\end{array} \)
Pb=> Oxidized substance
\(\begin{array}{l}PbO_{ 2 }\end{array} \)
=> Reduced substance
\(\begin{array}{l}PbO_{ 2 }\end{array} \)
=> Oxidizing agent
Pb => Reducing agent
14. Consider the reactions :
\(\begin{array}{l}2 \; S_{ 2 }O^{ 2- }_{ 3 \; (aq) } \; + \; I_{ 2 \; (s) } \; \rightarrow \; S_{ 4 }O^{ 2- }_{ 6 \; (aq) } \; + \; 2 \; I^{ – }_{ (aq) }\end{array} \)
\(\begin{array}{l}S_{ 2 }O^{ 2- }_{ 3 \; (aq) } \; + \; 2 \; Br_{ 2 \; (l) } \; + \; 5 \; H_{ 2 }O_{ (l) } \; \rightarrow \; 2 \; SO^{ 2- }_{ 4 \; (aq) } \; + \; 4 \; Br^{ – }_{ (aq) } \; + \; 10 \; H^{ + }_{ (aq) }\end{array} \)
Why does the same reductant, thiosulphate react differently with iodine and bromine ?
Answer:
The average oxidation no. of S in\(\begin{array}{l}S_{ 2 }O_{ 3 }^{ 2- }\end{array} \)
is +2.
The average oxidation no. of S in\(\begin{array}{l}S_{ 4 }O_{ 6 }^{ 2- }\end{array} \)
is +2.5.
The oxidation no. of S in\(\begin{array}{l}S_{ 2 }O_{ 3 }^{ 2- }\end{array} \)
is +2.
The oxidation no. of S in\(\begin{array}{l}SO_{ 4 }^{ 2- }\end{array} \)
is +6.
As \(\begin{array}{l}Br_{ 2 }\end{array} \)
is a stronger oxidizing agent than \(\begin{array}{l}I_{ 2 }\end{array} \)
, it oxidizes S of  \(\begin{array}{l}S_{ 2 }O_{ 3 }^{ 2- }\end{array} \)
to a higher oxidation no. of +6 in \(\begin{array}{l}SO_{ 4 }^{ 2- }\end{array} \)
.
As \(\begin{array}{l}I_{ 2 }\end{array} \)
is a weaker oxidizing agent, it oxidizes S of \(\begin{array}{l}S_{ 2 }O_{ 3 }^{ 2- }\end{array} \)
ion to a lower oxidation no. that is 2.5 in \(\begin{array}{l}S_{ 4 }O_{ 6 }^{ 2- }\end{array} \)
ions.
Thus, thiosulphate reacts differently with \(\begin{array}{l}I_{ 2 }\end{array} \)
and \(\begin{array}{l}Br_{ 2 }\end{array} \)
.
15. Justify giving reactions that among halogens, fluorine is the best oxidant and among hydrohalic compounds, hydroiodic acid is the best reductant.
Answer:
\(\begin{array}{l}F_{ 2 }\end{array} \)
can oxidize \(\begin{array}{l}Cl^{ – }\end{array} \)
to \(\begin{array}{l}Cl_{ 2 }\end{array} \)
, \(\begin{array}{l}Br^{ – }\end{array} \)
to \(\begin{array}{l}Br_{ 2 }\end{array} \)
, and \(\begin{array}{l}I^{ – }\end{array} \)
to \(\begin{array}{l}I_{ 2 }\end{array} \)
as:
\(\begin{array}{l}F_{ 2 \; (aq) } \; + \; 2 \; Cl^{ – }_{ (s) } \; \rightarrow \; 2 \; F^{ – }_{ (aq) } \; + \; Cl_{ 2 \; (g) }\end{array} \)
\(\begin{array}{l}F_{ 2 \; (aq) } \; + \; 2 \; Br^{ – }_{ (aq) } \; \rightarrow \; 2 \; F^{ – }_{ (aq) } \; + \; Br_{ 2 \; (l) }\end{array} \)
\(\begin{array}{l}F_{ 2 \; (aq) } \; + \; 2 \; I^{ – }_{ (aq) } \; \rightarrow \; 2 \; F^{ – }_{ (aq) } \; + \; I_{ 2 \; (s) }\end{array} \)
But, \(\begin{array}{l}Cl_{ 2 }\end{array} \)
, \(\begin{array}{l}Br_{ 2 }\end{array} \)
, and \(\begin{array}{l}I_{ 2 }\end{array} \)
cannot oxidize \(\begin{array}{l}F^{ – }\end{array} \)
to \(\begin{array}{l}F_{ 2 }\end{array} \)
. The oxidizing power of halogens increases in the order as given below:
\(\begin{array}{l}I_{ 2 }\end{array} \)
< \(\begin{array}{l}Br_{ 2 }\end{array} \)
< \(\begin{array}{l}Cl_{ 2 }\end{array} \)
<\(\begin{array}{l}F_{ 2 }\end{array} \)
Therefore, fluorine is the best oxidant among halogens.
\(\begin{array}{l}HI\end{array} \)
and \(\begin{array}{l}HBr\end{array} \)
can reduce \(\begin{array}{l}H_{ 2 }SO_{ 4 }\end{array} \)
to \(\begin{array}{l}SO_{ 2 }\end{array} \)
, but \(\begin{array}{l}HCl\end{array} \)
and \(\begin{array}{l}HF\end{array} \)
cannot. Hence, \(\begin{array}{l}HI\end{array} \)
and \(\begin{array}{l}HBr\end{array} \)
are stronger reductants compared to \(\begin{array}{l}HCl\end{array} \)
and \(\begin{array}{l}HF\end{array} \)
.
\(\begin{array}{l}2 \; HI \; + \; H_{ 2 }SO_{ 4 } \; \rightarrow \; I_{ 2 } \; + \; SO_{ 2 } \; + \; 2 \; H_{ 2 }O\end{array} \)
\(\begin{array}{l}2 \; HBr \; + \; H_{ 2 }SO_{ 4 } \; \rightarrow \; Br_{ 2 } \; + \; SO_{ 2 } \; + \; 2 \; H_{ 2 }O\end{array} \)
\(\begin{array}{l}I^{ – }\end{array} \)
can reduce \(\begin{array}{l}Cu^{ 2+ }\end{array} \)
to \(\begin{array}{l}Cu^{ + }\end{array} \)
, but \(\begin{array}{l}Br^{ – }\end{array} \)
cannot.
\(\begin{array}{l}4 \; I^{ – }_{ (aq) } \; + \; 2 \; Cu^{ 2+ }_{ (aq) } \; \rightarrow \; Cu_{ 2 }I_{ 2 \; (s) } \; + \; I_{ 2 \; (aq) }\end{array} \)
Therefore, hydrochloric acid is the best reductant among hydrohalic compounds.
Hence, the reducing power of hydrohalic acids increases as given below:
\(\begin{array}{l}HF\end{array} \)
< \(\begin{array}{l}HCl\end{array} \)
< \(\begin{array}{l}HBr\end{array} \)
<\(\begin{array}{l}HI\end{array} \)
16. Why does the following reaction occur?
\(\begin{array}{l}XeO^{ 4- }_{ 6 \; (aq) } \; + \; 2 \; F^{ – }_{ (aq) } \; + \; 6 \; H^{ + }_{ (aq) } \; \rightarrow \; XeO_{ 3 \; (g) } \; + \; F_{ 2 \; (g) } \; + \; 3 \; H_{ 2 }O_{ (l) }\end{array} \)
What conclusion about the compound
\(\begin{array}{l}Na_{ 4 }XeO_{ 6 }\end{array} \)
( of which \(\begin{array}{l}XeO_{ 6 }^{ 4- }\end{array} \)
is a part) can be drawn from the reaction?
Answer:
\(\begin{array}{l}XeO^{ 4- }_{ 6 \; (aq) } \; + \; 2 \; F^{ – }_{ (aq) } \; + \; 6 \; H^{ + }_{ (aq) } \; \rightarrow \; XeO_{ 3 \; (g) } \; + \; F_{ 2 \; (g) } \; + \; 3 \; H_{ 2 }O_{ (l) }\end{array} \)
The oxidation no. of Xe reduces from +8 in \(\begin{array}{l}XeO_{ 6 }^{ 4- }\end{array} \)
to +6 in \(\begin{array}{l}XeO_{ 3 }\end{array} \)
.
The oxidation no. of F increases from -1 in \(\begin{array}{l}F^{ – }\end{array} \)
to 0 in \(\begin{array}{l}F_{ 2 }\end{array} \)
.
Hence, \(\begin{array}{l}XeO_{ 6 }^{ 4- }\end{array} \)
is reduced on the other hand \(\begin{array}{l}F^{ – }\end{array} \)
is oxidized. As \(\begin{array}{l}Na_{ 2 }XeO_{ 6 }^{ 4- }\end{array} \)
(or \(\begin{array}{l}XeO_{ 6 }^{ 4- }\end{array} \)
) is a stronger oxidizing agent compared to \(\begin{array}{l}F_{ 2 }\end{array} \)
, this reaction occurs.
17. Consider the reactions:
(a)
\(\begin{array}{l}H_{ 3 }PO_{ 2 \; (aq) } \; + \; 4 \; AgNO_{ 3 \; (aq) } \; + \; 2 \; H_{ 2 }O_{ (l) } \; \rightarrow \; H_{ 3 }PO_{ 4 \; (aq) } \; + \; 4 \; Ag_{ (s) } \; + \; 4 \; HNO_{ 3 \; (aq) }\end{array} \)
(b)
\(\begin{array}{l}H_{ 3 }PO_{ 2 \; (aq) } \; + \; 2 \; CuSO_{ 4 \; (aq) } \; + \; 2 \; H_{ 2 }O_{ (l) } \; \rightarrow \; H_{ 3 }PO_{ 4 \; (aq) } \; + \; 2 \; Cu_{ (s) } \; + \; H_{ 2 }SO_{ 4 \; (aq) }\end{array} \)
(c)
\(\begin{array}{l}C_{ 6 }H_{ 5 }CHO_{ (l) } \; + \; 2 \; [Ag(NH_{ 3 })_{ 2 }]^{ + }_{ (aq) } \; + \; 3 \; OH^{ – }_{ (aq) } \; \rightarrow \; C_{ 6 }H_{ 5 }COO^{ – }_{(aq)} \; + \; 2\; Ag_{ (s) } \; + \; 4 \; NH_{ 3 \; (aq)} \; + \; 2 \; H_{ 2 }O_{ (l) }\end{array} \)
(d)
\(\begin{array}{l}C_{ 6 }H_{ 5 }CHO_{ (l) } \; + \; 2 \; Cu^{ 2+ }_{ (aq) } \; + \; 5 \; OH^{ – }_{ (aq) } \; \rightarrow\end{array} \)
No change is observed
What inference do you draw about the behavior of
\(\begin{array}{l}Ag^{ + }\end{array} \)
and \(\begin{array}{l}Cu^{ 2+ }\end{array} \)
from these reactions?
Answer:
\(\begin{array}{l}Ag^{ + }\end{array} \)
and \(\begin{array}{l}Cu^{ 2+ }\end{array} \)
behave as oxidizing agents in reactions (i) and (ii), respectively.
In reaction (iii), \(\begin{array}{l}Ag^{ + }\end{array} \)
oxidizes \(\begin{array}{l}C_{ 6 }H_{ 5 }CHO\end{array} \)
to \(\begin{array}{l}C_{ 6 }H_{ 5 }COO^{ – }\end{array} \)
In reaction (iv), \(\begin{array}{l}Cu^{ 2+ }\end{array} \)
cannot oxidize \(\begin{array}{l}C_{ 6 }H_{ 5 }CHO\end{array} \)
.
Therefore, \(\begin{array}{l}Ag^{ + }\end{array} \)
is a stronger oxidizing agent compared to \(\begin{array}{l}Cu^{ 2+ }\end{array} \)
.
18. Balance the following redox reactions by ion – electron method :
(a)
\(\begin{array}{l}MnO^{ – }_{ 4 \; (aq) } \; + \; I_{ (aq) }^{ – } \; \rightarrow \; MnO_{ 2 \; (s) } \; + \; I_{ 2 \; (s) }\end{array} \)
(Basic medium)
(b)
\(\begin{array}{l}MnO^{ – }_{ 4 \; (aq) } \; + \; SO_{ 2 \; (g) } \; \rightarrow \; Mn^{ 2+ }_{ (aq) } \; + \; H_{ 2 }SO_{ 4 }^{ – }\end{array} \)
(Acidic medium)
(c)
\(\begin{array}{l}H_{ 2 }O_{ 2 \; (aq) } \; + \; Fe^{ 2+ }_{ (aq) } \; \rightarrow \; Fe_{ (aq) }^{ 3+ } \; + \; H_{ 2 }O_{ (l) }\end{array} \)
(Acidic medium)
(d)
\(\begin{array}{l}Cr_{ 2 }^{ 2- }O_{ 7 \; (aq) } \; + \; SO_{ 2 \; (g) } \; \rightarrow \; Cr^{ 3+ }_{ (aq) } \; + \; SO^{ 2- }_{ (aq) }\end{array} \)
(Acidic medium)
Answer:
(a) \(\begin{array}{l}MnO^{ – }_{ 4 \; (aq) } \; + \; I_{ (aq) }^{ – } \; \rightarrow \; MnO_{ 2 \; (s) } \; + \; I_{ 2 \; (s) }\end{array} \)
Step 1
The two half-reactions are given below:
Oxidation half-reaction: \(\begin{array}{l}I_{ (aq) } \; \rightarrow \; I_{ 2 \; (s) }\end{array} \)
Reduction half-reaction: \(\begin{array}{l}MnO_{ 4 }^{ – } \; \rightarrow \; MnO_{ 2 }\end{array} \)
Step 2
Balance I in oxidation half-reaction:
\(\begin{array}{l}2 \; I^{ – }_{(aq)} \; \rightarrow \; I_{ 2 \; (s) }\end{array} \)
Add 2 \(\begin{array}{l}e^{ – }\end{array} \)
to the right-hand side of the reaction to balance the charge:
\(\begin{array}{l}2I^{ – }_{ (aq) } \; \rightarrow \; I_{ 2 \; (s) } \; + \; 2 \; e^{ – }\end{array} \)
Step 3
The oxidation no. of Mn has decreased from +7 to +4 in the reduction half-reaction. Therefore, 3 electrons are added to the left-hand side of the reaction.
\(\begin{array}{l}MnO^{ – }_{ 4 \; (aq) } \; + \; 3 \; e^{ – } \; \rightarrow \; MnO_{ 2 \; (aq)}\end{array} \)
Add 4 \(\begin{array}{l}OH^{ – }\end{array} \)
ions to the right-hand side of the reaction to balance the charge.
\(\begin{array}{l}MnO^{ – }_{ 4 \; (aq) } \; + \; 3 \; e^{ – } \; \rightarrow \; MnO_{ 2 \;(aq)} \; + \; 4 \; OH^{ – }\end{array} \)
Step 4
There are 6 oxygen atoms on the right-hand side and 4 oxygen atoms on the left-hand side. Hence, 2 water molecules are added to the left-hand side.
\(\begin{array}{l}MnO^{ – }_{ 4 \; (aq) } \; + \; 2 \; H_{ 2 }O \; + \; 3\; e^{ – }\; \rightarrow \; MnO_{ 2 \; (aq) } \; + \; 4 OH^{ – }\end{array} \)
Step 5
Equal the no. of electrons on both sides by multiplying the oxidation half-reaction by 3 and the reduction half-reaction by 2:
\(\begin{array}{l}6 \; I_{ (aq) }^{ – } \; \rightarrow \; 3 \; I_{ 2 \; (s)} \; + \; 6 \; e^{ – }\end{array} \)
\(\begin{array}{l}2 \; MnO^{ – }_{ 4 \; (aq) } \; + \; 4 \; H_{ 2 }O \; + \; 6\; e^{ – } \; \rightarrow 2 \; MnO_{ 2 \; (s)} \; + \; 8\; OH^{ – }_{ (aq) }\end{array} \)
Step 6
After adding both the half-reactions, we get the balanced reaction as given below:
\(\begin{array}{l}6 \; I_{ (aq) }^{ – } \; + \; 2 \; MnO^{ – }_{ 4 \; (aq) } \;+ \; 4 \; H_{ 2 }O_{ (l) } \; \rightarrow \; 3 \; I_{ 2 \; (s)} \; + \; 2 \; MnO_{ 2 \; (s)} \; + \; 8\; OH^{ – }_{ (aq) }\end{array} \)
(b) \(\begin{array}{l}MnO^{ – }_{ 4 \; (aq) } \; + \; SO_{ 2 \; (g) } \; \rightarrow \; Mn^{ 2+ }_{ (aq) } \; + \; H_{ 2 }SO_{ 4 }^{ – }\end{array} \)
Step 1
Similar to (i), the oxidation half-reaction is:
\(\begin{array}{l}SO_{ 2 \; (g) } \; + \; 2\; H_{ 2 }O_{ (l) } \; \rightarrow \; HSO^{ – }_{ 4 \; (aq) } \; + \; 3 \; H^{ + }_{ (aq) } \; + \; 2 \; e^{ – }_{ (aq) }\end{array} \)
Step 2
Reduction half-reaction is:
\(\begin{array}{l}MnO^{ – }_{ 4 \; (aq) } \; + \; 8\; H^{ + }_{ (aq) } \; + \; 5 \; e^{ – } \; \rightarrow \; Mn^{ 2+ }_{ (aq) } \; + \; 4 \; H_{ 2 }O_{ (l) }\end{array} \)
Step 3
Multiply the oxidation half-reaction with 5 and the reduction half-reaction with 2, then add them. We get the balanced reaction as given below:
\(\begin{array}{l}2 \; MnO^{ – }_{ 4 \; (aq) } \; + \; 5 \; SO_{ 2 \; (g) } \; + \; 2\; H_{ 2 }O_{ (l) } \; +\; H^{ + }_{ (aq) } \; \rightarrow \; 2 \; Mn^{ 2+ }_{ (aq) } \; + \; 5 \; HSO^{ – }_{ 4 \; (aq) }\end{array} \)
(c) \(\begin{array}{l}H_{ 2 }O_{ 2 \; (aq) } \; + \; Fe^{ 2+ }_{ (aq) } \; \rightarrow \; Fe_{ (aq) }^{ 3+ } \; + \; H_{ 2 }O_{ (l) }\end{array} \)
Step 1
Similar to (i), oxidation half-reaction is:
\(\begin{array}{l}Fe^{ 2+ }_{ (aq) } \; \rightarrow \; Fe_{ (aq) }^{ 3+ } \; + \; e^{ – }\end{array} \)
Step 2
Reduction half-reaction is:
\(\begin{array}{l}H_{ 2 }O_{ 2 \; (aq) } \; + \; 2\; H_{ (aq) }^{ + } \; + \; 2\; e^{ – } \; \rightarrow \; 2\; H_{ 2 }O_{ (l) }\end{array} \)
Step 3
Multiply the oxidation half-reaction with 2 then add it to the reduction half-reaction. We get the balanced reaction as given below:
\(\begin{array}{l}H_{ 2 }O_{ 2 \; (aq) } \; + \; 2 \;Fe^{ 2+ }_{ (aq) } \; 2\; H_{ (aq) }^{ + } \; \rightarrow \; 2 \;Fe_{ (aq) }^{ 3+ }2\; H_{ 2 }O_{ (l) }\end{array} \)
(d) \(\begin{array}{l}Cr_{ 2 }^{ 2- }O_{ 7 \; (aq) } \; + \; SO_{ 2 \; (g) } \; \rightarrow \; Cr^{ 3+ }_{ (aq) } \; + \; SO^{ 2- }_{ (aq) }\end{array} \)
Step 1
Similar to (i), oxidation half-reaction is:
\(\begin{array}{l}SO_{ 2 \; (g) } \; + \; 2 \; H_{ 2 }O_{ (l) } \; \rightarrow \; SO^{ 2- }_{ 4 \; (aq) } \; + \; 4 \; H_{ (aq) }^{ + } \; + \; 2 \; e^{ – }\end{array} \)
Step 2
Reduction half-reaction is:
\(\begin{array}{l}Cr_{ 2 }O^{ 2- }_{ 7 \; (aq) } \; + \; 14 \; H^{ + }_{ (aq) } \; + \; 6 \; e^{ – } \; \rightarrow \; 2 \; Cr_{ (aq) }^{ 3+ } \; + \; 7 \; H_{ 2 }O_{(l)}\end{array} \)
Step 3
Multiply the oxidation half-reaction with 2, then add it to the reduction half-reaction. We get the balanced reaction as given below:
\(\begin{array}{l}Cr_{ 2 }^{ 2- }O_{ 7 \; (aq) } \; + \;3 \; SO_{ 2 \; (g) } \; + \; 2 \; H^{ + }_{ (aq) } \; \rightarrow \; 2 \; Cr_{ (aq) }^{ 3+ } \; + \;3 \; SO^{ 2- }_{ 4 \; (aq) } \;+ \; H_{ 2 }O_{(l)}\end{array} \)
19. Balance the following equations in basic medium by ion-electron method and oxidation number methods and identify the oxidising agent and the reducing agent.
(a)
\(\begin{array}{l}P_{ 4 \; (s) } \; + \; OH^{ – }_{ (aq) } \; \rightarrow \; PH_{ 3 \; (g) } \; + \; HPO^{ – }_{ 2 \; (aq) }\end{array} \)
(b)
\(\begin{array}{l}N_{ 2 }H_{ 4 \; (l) } \; + \; ClO^{ – }_{ 3 \; (aq) } \; \rightarrow \; NO_{ (g) } \; + \; Cl_{ (g) }^{ – }\end{array} \)
(c)
\(\begin{array}{l}Cl_{ 2 }O_{ 7 \; (g) } \; + \; H_{ 2 }O_{ 2 \; (aq) } \; \rightarrow \; ClO^{ – }_{ 2 \; (aq) } \; + \;O_{ 2 \; (g) } \; + \; H^{ + }_{ (aq) }\end{array} \)
Answer:
(a) The Oxidation no. of P reduces from 0 in \(\begin{array}{l}P_{ 4 }\end{array} \)
to – 3 in \(\begin{array}{l}PH_{ 3 }\end{array} \)
The oxidation no. of P increases from 0 in \(\begin{array}{l}P_{ 4 }\end{array} \)
to + 2 in \(\begin{array}{l}HPO_{ 2 }^{ – }\end{array} \)
. Therefore, \(\begin{array}{l}P_{ 4 }\end{array} \)
behaves both as a reducing agent as well as an oxidizing agent in the reaction.
Ion–electron method:
 – The oxidation half-reaction:
\(\begin{array}{l}P_{ 4 \; (s) } \; \rightarrow \; HPO^{ – }_{ 2 \; (aq) }\end{array} \)
 – Balance atom P:
\(\begin{array}{l}P_{ 4 \; (s) } \; \rightarrow \;4 \; HPO^{ – }_{ 2 \; (aq) }\end{array} \)
 – Add 8 electrons to balance oxidation no.
\(\begin{array}{l}P_{4\;(s)}\;\rightarrow \;4 \; HPO^{ – }_{ 2 \; (aq) } \; + \; 8 \; e^{ – }\end{array} \)
 – Add \(\begin{array}{l}12 \; OH^{ – }\end{array} \)
to balance the charge:
\(\begin{array}{l}P_{4\;(s)}\;+\;12\;OH^{-}_{(aq)}\;\rightarrow\;4\;HPO^{-}_{2\;(aq)}\;+\;8\;e^{-}\end{array} \)
 – Add 4 \(\begin{array}{l}H_{ 2 }O\end{array} \)
to balance H and O atoms:
\(\begin{array}{l}P_{ 4 \; (s) } \; + \; 12 \; OH^{-}_{ (aq) } \; \rightarrow \;4 \; HPO^{ – }_{ 2 \; (aq) } \; + \; 4 \; H_{ 2 }O_{ (l) } \; + \; 8 \; e^{ – }\end{array} \)
———-(1)
 – The reduction half-reaction:
\(\begin{array}{l}P_{ 4 \; (s) } \; \rightarrow \; PH_{ 3 \; (g) }\end{array} \)
 – Balance atom P:
\(\begin{array}{l}P^{0}_{ 4 \; (s) } \; \rightarrow \;4 \; P^{-3} H_{ 3 \; (g) }\end{array} \)
 – Add 12 electrons to balance oxidation no.
\(\begin{array}{l}P_{4\;(s)}\;+\;12\;e^{-}\;\rightarrow\;4\;PH_{3\;(g)}\end{array} \)
 – Add \(\begin{array}{l}12 \; OH^{ – }\end{array} \)
to balance the charge:
\(\begin{array}{l}P_{4\;(s)}\;+\;12\;e^{-}\;\rightarrow\;4\;PH_{3\;(g)}\;+\;12\;OH^{-}_{(aq)}\end{array} \)
 – Add 12 \(\begin{array}{l}H_{ 2 }O\end{array} \)
to balance H and O atoms:
\(\begin{array}{l}P_{4\;(s)}\;+\;12\;H_{2}O_{(l)}\;+\;12\;e^{-}\;\rightarrow\;4\;PH_{3\;(g)} \;+\;12\;OH^{-}_{(aq)}\end{array} \)
———- (2)
 – Now, multiply the equation (1) by 3 and equation (2) by 2. Then, after adding them, we get the balanced redox reaction as given below:
\(\begin{array}{l}5\;P_{4\;(s)}\;+\; 12 \; H_{ 2 }O_{ (l) } \; + \; 12 \; HO^{ – }_{ (aq) } \; \rightarrow \;8 \; PH_{ 3 \; (g) } \; + \; 12 \; HPO^{ – }_{ 2 \; (aq ) }\end{array} \)
(b)
The Oxidation no. of N increases from -2 in \(\begin{array}{l}N_{ 2 }H_{ 4 }\end{array} \)
to –+2 in NO.
The oxidation no. of Cl reduces from +5 in \(\begin{array}{l}ClO_{ 3 }^{ – }\end{array} \)
to +-1 in \(\begin{array}{l}Cl^{ – }\end{array} \)
.
Therefore, \(\begin{array}{l}N_{ 2 }H_{ 4 }\end{array} \)
behaves as a reducing agent while \(\begin{array}{l}ClO_{ 3 }^{ – }\end{array} \)
 behaves as an oxidizing agent in the reaction.
Ion–electron method:
 – The oxidation half-reaction:
\(\begin{array}{l}N_{2}H_{4\; (l) } \; \rightarrow \; NO_{ (g) }\end{array} \)
 – Balance atom N:
\(\begin{array}{l}N_{2}H_{4\;(l)}\; \rightarrow\;2\;NO_{(g)}\end{array} \)
 – Add 8 electrons to balance oxidation no:
\(\begin{array}{l}N_{2}H_{4 \; (l) } \; \rightarrow \; 2 \; NO_{ (g) } \; + \; 8 \; e^{-}\end{array} \)
 – Add \(\begin{array}{l}8 \; OH^{ – }\end{array} \)
to balance the charge:
\(\begin{array}{l}N_{2}H_{ 4 \; (l) } \; + \; 8 \; OH^{ – }_{ (aq) } \; \rightarrow \; 2\;NO_{(g)} \; + \; 8 \; e^{-}\end{array} \)
 – Add 6 \(\begin{array}{l}H_{ 2 }O\end{array} \)
to balance O atoms:
\(\begin{array}{l}N_{2}H_{4\;(l)} \; + \; 8\; OH^{-}_{(aq)} \; \rightarrow \; 2\;NO_{(g)} \; + \; 6 \; H_{2}O_{(l)} \; + \; 8 \; e^{-}\end{array} \)
——— (1)
 – The reduction half-reaction:
\(\begin{array}{l}ClO_{ 3 \; (aq) }^{ – } \; \rightarrow \; Cl_{ (aq) }^{ – }\end{array} \)
 – Add 6 electrons to balance oxidation no.
\(\begin{array}{l}ClO_{3\;(aq)}^{-} \; + \; 6 \; e^{-} \; \rightarrow \; Cl_{(aq)}^{-}\end{array} \)
 – Add \(\begin{array}{l}6 \; OH^{ – }\end{array} \)
ions to balance the charge:
\(\begin{array}{l}ClO_{3\;(aq)}^{-} \; + \; 6 \; e^{-} \; \rightarrow \; Cl_{(aq)}^{-} \; + \; 6 \; OH^{-}_{(aq)}\end{array} \)
 – Add 3 \(\begin{array}{l}H_{ 2 }O\end{array} \)
to balance O atoms:
\(\begin{array}{l}ClO_{3\;(aq)}^{-} \; + \; 3\; H_{2}O_{(l)} \; + \; 6 \; e^{-} \; \rightarrow \; Cl_{(aq)}^{-} \; + \; 6 \; OH^{-}_{(aq)}\end{array} \)
——— (2)
Now, multiply equation (1) by 3 and equation (2) by 4. Then, after adding them, we get the balanced redox reaction as given below:
\(\begin{array}{l}3 \; N_{ 2 }H_{ 4 \; (l) } \; + \; 4 \; ClO_{ 3 \; (aq) }^{ – } \; \rightarrow \;6 \; NO_{ (g) }\; + \; 4 \; Cl_{ (aq) }^{ – } \; + \; 6 \; H_{ 2 }O_{ (l) }\end{array} \)
Oxidation number method:
 – Reduction in the oxidation no. of N = 2 × 4 = 8
 – Increment in the oxidation no. of Cl = 1 × 6 = 6
Multiply \(\begin{array}{l}N_{ 2 }H_{ 4 }\end{array} \)
by 3 and \(\begin{array}{l}ClO_{ 3 }^{ – }\end{array} \)
by 4 to balance the reduction and increment of the oxidation no. :
\(\begin{array}{l}3 \; N_{ 2 }H_{ 4 \; (l) } \; + \; 4 \; ClO^{ – }_{ 3 \; (aq) } \; \rightarrow \; NO_{ (g) } \; + \; Cl^{ – }_{ (aq) }\end{array} \)
 – Balance Cl and n atoms:
\(\begin{array}{l}3 \; N_{ 2 }H_{ 4 \; (l) } \; + \; 4 \; ClO^{ – }_{ 3 \; (aq) } \; \rightarrow \; 6 \; NO_{ (g) } \; + \; 4 \; Cl^{ – }_{ (aq) }\end{array} \)
 – Add 6 \(\begin{array}{l}H_{ 2 }O\end{array} \)
to balance O atoms:
\(\begin{array}{l}3 \; N_{ 2 }H_{ 4 \; (l) } \; + \; 4 \; ClO^{ – }_{ 3 \; (aq) } \; \rightarrow \; 6 \; NO_{ (g) } \; + \; 4 \; Cl^{ – }_{ (aq) } \; + \; 6 \; H_{ 2 }O_{ (l) }\end{array} \)
This is the required reaction equation.
(c)
The Oxidation no. of Cldecreases from +7 in \(\begin{array}{l}Cl_{ 2 }O_{ 7 }\end{array} \)
to +3 in \(\begin{array}{l}ClO_{ 2 }^{ – }\end{array} \)
.
The oxidation no. of increases from -1 in \(\begin{array}{l}H_{ 2 }O_{ 2 }\end{array} \)
to 0 in \(\begin{array}{l}O_{ 2 }\end{array} \)
.
Therefore, \(\begin{array}{l}H_{ 2 }O_{ 2 }\end{array} \)
behaves as a reducing agent while \(\begin{array}{l}Cl_{ 2 }O_{ 7 }\end{array} \)
behaves as an oxidizing agent in the reaction.
Ion–electron method:
 – The oxidation half-reaction:
\(\begin{array}{l}H_{ 2 }O_{ 2 \; (aq) } \; \rightarrow \; O_{ 2 \; (g) }\end{array} \)
 – Add 2 electrons to balance oxidation no:
\(\begin{array}{l}H_{ 2 }O_{ 2 \; (aq) } \; \rightarrow \; O_{ 2 \; (g) } \; + \; 2 \; e^{ – }\end{array} \)
 – Add \(\begin{array}{l}2 \; OH^{ – }\end{array} \)
to balance the charge:
\(\begin{array}{l}H_{ 2 }O_{ 2 \; (aq) } \; + \; 2 \; OH^{ – }_{ (aq) } \rightarrow \; O_{ 2 \; (g) } \; + \; 2 \; e^{ – }\end{array} \)
 – Add 2 \(\begin{array}{l}H_{ 2 }O\end{array} \)
to balance O atoms:
\(\begin{array}{l}H_{ 2 }O_{ 2 \; (aq) } \; + \; 2 \; OH^{ – }_{ (aq) } \rightarrow \; O_{ 2 \; (g) } \; + \; 2 \; H_{ 2 }O_{ (l) } \; + \; 2 \; e^{ – }\end{array} \)
——– (1)
 – The reduction half-reaction:
\(\begin{array}{l}Cl_{ 2 }O_{ 7 \; (g) } \; \rightarrow \; ClO^{ – }_{ 2 \; (aq) }\end{array} \)
 – Balance Cl atoms:
\(\begin{array}{l}Cl_{ 2 }O_{ 7 \; (g) } \; \rightarrow \; 2 \; ClO^{ – }_{ 2 \; (aq) }\end{array} \)
 – Add 8 electrons to balance oxidation no.
\(\begin{array}{l}Cl_{ 2 }O_{ 7 \; (g) } \; + \; 8\; e^{ – } \; \rightarrow \; 2 \; ClO^{ – }_{ 2 \; (aq) }\end{array} \)
 – Add \(\begin{array}{l}6 \; OH^{ – }\end{array} \)
ions to balance the charge:
\(\begin{array}{l}Cl_{ 2 }O_{ 7 \; (g) } \; + \; 8\; e^{ – } \; \rightarrow \; 2 \; ClO^{ – }_{ 2 \; (aq) } \; + \;6 \; OH^{ – }_{ (aq) }\end{array} \)
 – Add 3 \(\begin{array}{l}H_{ 2 }O\end{array} \)
to balance O atoms:
\(\begin{array}{l}Cl_{ 2 }O_{ 7 \; (g) } \; + \; 3 \; H_{ 2 }O_{ (l) } \; + 8\; e^{ – } \; \rightarrow \; 2 \; ClO^{ – }_{ 2 \; (aq) } \; + \;6 \; OH^{ – }_{ (aq) }\end{array} \)
Now, multiply the equation (1) by 4. Then, adding equation (1) and (2), we get the balanced redox reaction as given below:
\(\begin{array}{l}Cl_{ 2 }O_{ 7 \; (g) } \; + \; 4 \; H_{ 2 }O_{ 2 \; (aq) } \; + 2\; OH^{ – }_{ (aq) } \; \rightarrow \; 2 \; ClO^{ – }_{ 2 Â (aq) } \; + \; 4 \; O_{ 2 \; (g) } \; + \; 5 \; H_{ 2 }O_{ (l) }\end{array} \)
Oxidation number method:
 – Reduction in the oxidation no. of \(\begin{array}{l}Cl_{ 2 }O_{ 7 }\end{array} \)
= 4× 2 = 8
 – Increment in the oxidation no. of \(\begin{array}{l}H_{ 2 }O_{ 2 }\end{array} \)
= 2× 1 = 2
Multiply \(\begin{array}{l}H_{ 2 }O_{ 2 }\end{array} \)
by 4 and \(\begin{array}{l}O_{ 2 }\end{array} \)
by 4 to balance the reduction and increment of the oxidation no. :
\(\begin{array}{l}3 \; N_{ 2 }H_{ 4 \; (l) } \; + \; 4 \; ClO^{ – }_{ 3 \; (aq) } \; \rightarrow \; NO_{ (g) } \; + \; Cl^{ – }_{ (aq) }\end{array} \)
 – Balance Cl and n atoms:
\(\begin{array}{l}Cl_{ 2 }O_{ 7 \; (g) } \; + \; 4 \; H_{ 2 }O_{ 2 \; (aq) } \; \rightarrow \; 2\; ClO^{ – }_{ 2 \;(aq) } \; + \; 4 \; O_{ 2 \; (g) }\end{array} \)
 – Add 3 \(\begin{array}{l}H_{ 2 }O\end{array} \)
to balance O atoms:
\(\begin{array}{l}Cl_{ 2 }O_{ 7 \; (g) } \; + \; 4 \; H_{ 2 }O_{ 2 \; (aq) } \; \rightarrow \; 2 \; ClO^{ – }_{ 2 Â (aq) } \; + \; 4 \; O_{ 2 Â (g) } \; + \; 3 \; H_{ 2 }O_{ (l) }\end{array} \)
 – Add \(\begin{array}{l}2 \; OH^{ – }\end{array} \)
and \(\begin{array}{l}2 \; H_{ 2 }O\end{array} \)
to balance H atoms:
\(\begin{array}{l}Cl_{ 2 }O_{ 7 \; (g) } \; + \; 4 \; H_{ 2 }O_{ 2 \; (aq) } \; 2 \; OH^{ – }_{ (aq) } \; \rightarrow \; 2 \; ClO^{ – }_{ 2 \; (aq) } \; + \; 4 \; O_{ 2 \; (g) } \; + \; 5 \; H_{ 2 }O_{ (l) }\end{array} \)
This is the required reaction equation.
20.What sorts of informations can you draw from the following reaction ?
\(\begin{array}{l}(CN)_{ 2 \; (g) } \; + \; 2 \; OH^{ – }_{ (aq) } \; \rightarrow \; CN_{ (aq) }^{ – } \; + \; CNO_{ (aq) }^{ – } \; + \; H_{ 2 }O_{ (l) }\end{array} \)
Answer:
The oxidation no. of C in \(\begin{array}{l}(CN)_{ 2 }\end{array} \)
, \(\begin{array}{l}CN^{ – }\end{array} \)
and \(\begin{array}{l}CNO^{ – }\end{array} \)
are +3, +2 and +4 respectively.
Let the oxidation no. of C be y.
\(\begin{array}{l}(CN)_{ 2 }\end{array} \)
2(y – 3) = 0
Therefore, y = 3
\(\begin{array}{l}CN^{ – }\end{array} \)
y – 3 = -1
Therefore, y = 2
\(\begin{array}{l}CNO^{ – }\end{array} \)
y – 3 -2 = -1
Therefore, y = 4
The oxidation no. of C in the reaction is:
Oxidation no. of C in \(\begin{array}{l}(CN)_{ 2 }\end{array} \)
is +3
Oxidation no. of C in \(\begin{array}{l}CN^{ – }\end{array} \)
is +2
Oxidation no. of C in \(\begin{array}{l}CNO^{ – }\end{array} \)
is +4
We can see that the same compound is oxidized and reduced simultaneously in the reaction.
The reactions in which the same compound is oxidized and reduced is known as disproportionation reaction. Then, we can say that the alkaline decomposition of cyanogens is a disproportionation reaction.
21. The
\(\begin{array}{l}Mn^{ 3+ }\end{array} \)
ion is unstable in solution and undergoes disproportionation to give Mn2+, MnO2, and H+ ion. Write a balanced ionic equation for the reaction.
Answer:
The reaction is as given below:
\(\begin{array}{l}Mn^{ 3+ }_{ (aq) } \; \rightarrow \; Mn^{ 2+ }_{ (aq) } \; + \; MnO_{ 2 \; (s) } \; + \; H^{ + }_{ (aq) }\end{array} \)
The oxidation half-reaction:
\(\begin{array}{l}Mn^{ 3+ }_{ (aq) } \; \rightarrow \; MnO_{ 2 \; (s) }\end{array} \)
Add 1 electron to balance the oxidation no. :
\(\begin{array}{l}Mn^{ 3+ }_{ (aq) } \; \rightarrow \; MnO_{ 2 \; (s) } \;+ \; e^{ – }\end{array} \)
Add \(\begin{array}{l}4 \; H^{ + }\end{array} \)
ions to balance the charge:
\(\begin{array}{l}Mn^{ 3+ }_{ (aq) } \; \rightarrow \; MnO_{ 2 \; (s) } \;+ \; e^{ – }\; + \; 4 \; H^{ + }_{ (aq) }\end{array} \)
Add 2 \(\begin{array}{l}H_{ 2 }O\end{array} \)
to balance O atoms and \(\begin{array}{l}H^{ + }\end{array} \)
ions:
\(\begin{array}{l}Mn^{ 3+ }_{ (aq) } \; + \; 2 \; H_{ 2 }O_{ (l) } \; \rightarrow \; MnO_{ 2 \; (s) } \;+ \; e^{ – }\; + \; 4 \; H^{ + }_{ (aq) }\end{array} \)
———— (1)
The reduction half-reaction:
\(\begin{array}{l}Mn^{ 3+ }_{ (aq) } \; \rightarrow \; Mn^{ 2+ }_{ (aq) }\end{array} \)
Add 1 electron to balance oxidation no. :
\(\begin{array}{l}Mn^{ 3+ }_{ (aq) } \; + \; e^{ – } \; \rightarrow \; Mn^{ 2+ }_{ (aq) }\end{array} \)
——— (2)
Add equations (1) and (2) to get the balanced chemical equation:
\(\begin{array}{l}2 \; Mn^{ 3+ }_{ (aq) } \; + \; 2 \; H_{ 2 }O_{ (l) } \; \rightarrow \; MnO_{ 2 \;(s) } \; + \; 2 \; Mn^{ 2+ }_{ (aq) } \; + \; 4 \; H^{ + }_{ (aq) }\end{array} \)
22.Consider the elements:
Cs, Ne, I and F
(a) Identify the element that exhibits only negative oxidation.
(b) Identify the element that exhibits only positive oxidation.
(c) Identify the element that exhibits both negative and positive oxidation states.
(d) Identify the element that exhibits neither negative nor positive oxidation state?
Answer:
(a) F exhibits only negative oxidation no. That is -1.
(b) Cs exhibits only positive oxidation no. That is +1.
(c) I exhibits both negative and positive oxidation no. That is -1, +1, +3, +5 and +7.
(d) Ne exhibits neither negative nor positive oxidation no. That is 0.
23. Chlorine is used to purify drinking water. Excess of chlorine is harmful. The excess of chlorine is removed by treating with sulphur dioxide. Present a balanced equation for this redox change taking place in water.
Answer:
The redox reaction is as given below:
\(\begin{array}{l}Cl_{ 2 \;(s)} \; + \; SO_{ 2\;(aq)} \; + \; H_{ 2 }O_{(l)} \; \rightarrow \; Cl^{ – }_{(aq)} \; + \; SO^{ 2- }_{ 4 \; (aq) }\end{array} \)
The oxidation half-reaction:
\(\begin{array}{l}SO_{ 2 \;(aq)} \;\rightarrow \; SO^{ 2- }_{ 4 \; (aq) }\end{array} \)
Add 2 electrons to balance the oxidation no. :
\(\begin{array}{l}SO_{ 2 \;(aq)} \;\rightarrow \; SO^{ 2- }_{ 4 \; (aq) } \; + \; 2 \; e^{ – }\end{array} \)
Add \(\begin{array}{l}4 \; H^{ + }\end{array} \)
ions to balance the charge:
\(\begin{array}{l}SO_{ 2 \;(aq)} \;\rightarrow \; SO^{ 2- }_{ 4 \; (aq) } \; + \;4 \; H^{ + }_{ (aq) } \;+ \; 2 \; e^{ – }\end{array} \)
Add 2 \(\begin{array}{l}H_{ 2 }O\end{array} \)
to balance O atoms and \(\begin{array}{l}H^{ + }\end{array} \)
ions:
\(\begin{array}{l}SO_{ 2 \;(aq)} \; + \; 2 \; H_{ 2 }O \; \rightarrow \; SO^{ 2- }_{ 4 \; (aq) } \; + \;4 \; H^{ + }_{ (aq) } \;+ \; 2 \; e^{ – }\end{array} \)
——— (1)
The reduction half-reaction:
\(\begin{array}{l}Cl_{2\;(s)} \; \rightarrow Cl^{-}_{(aq)}\end{array} \)
Balance Cl atoms:
\(\begin{array}{l}Cl_{ 2 \; (s) } \; \rightarrow \; 2 \; Cl^{ – }_{ (aq) }\end{array} \)
Add 2 electrons to balance the oxidation no. :
\(\begin{array}{l}Cl_{ 2 \; (s) } \; + \; 2 \; e^{ – } \rightarrow \; 2 \; Cl^{ – }_{ (aq) }\end{array} \)
——— (2)
Add equations (1) and (2) to get the balanced chemical equation:
\(\begin{array}{l}Cl_{ 2 \; (s) }\; + \; SO_{ 2 \;(aq)} \; + \; 2 \; H_{ 2 }O_{ (l) } \; \rightarrow \; 2 \; Cl^{ – }_{ (aq) } \; + \; SO^{ 2- }_{ 4 \; (aq) } \; + \; 4 \; H^{ + }_{ (aq) }\end{array} \)
24. Refer to the periodic table given in your book and now answer the following questions:
(a) Select the possible non–metals that can show disproportionation reaction?
(b) Select three metals that show disproportionation reaction?
Answer:
One of the reacting elements always has an element that can exist in at least 3 oxidation numbers.
(i) The non–metals which can show disproportionation reactions are P, Cl and S.
(ii) The three metals which can show disproportionation reactions are Mn, Ga and Cu.
25. In Ostwald’s process for the manufacture of nitric acid, the first step involves the oxidation of ammonia gas by oxygen gas to give nitric oxide gas and steam. What is the maximum weight of nitric oxide that can be obtained starting only with 10.00 g. of ammonia and 20.00 g of oxygen?Â
Answer:
The balanced reaction is as given below:
\(\begin{array}{l}4 \; NH_{ 3 \; (g) } \; + \; 5 \; O_{ 2 \; (g) } \; \rightarrow \; 4 \; NO_{ (g) } \; + \; 6 \; H_{ 2 }O_{ (g) }\end{array} \)
\(\begin{array}{l}4 \; NH_{ 3 }\end{array} \)
= 4 × 17 g = 68 g
\(\begin{array}{l}5 \; O_{ 2 }\end{array} \)
= 5 × 32 g = 160 g
\(\begin{array}{l}4 \; NO\end{array} \)
 = 4 × 30 g = 120 g
\(\begin{array}{l}6 \; H_{ 2 }O\end{array} \)
 = 6 × 18 g = 108 g
Thus, \(\begin{array}{l}NH_{ 3 }\end{array} \)
(68 g) reacts with \(\begin{array}{l}O_{ 2 }\end{array} \)
( 20 g )
Therefore, 10 g of \(\begin{array}{l}NH_{ 3 }\end{array} \)
reacts with \(\begin{array}{l}\frac{ 160 \; \times \; 10 }{ 68 }\end{array} \)
g = 23.53 g of \(\begin{array}{l}O_{ 2 }\end{array} \)
But only 20 g of \(\begin{array}{l}O_{ 2 }\end{array} \)
is available.
Hence, \(\begin{array}{l}O_{ 2 }\end{array} \)
is a limiting reagent.
Now, 160 g of \(\begin{array}{l}O_{ 2 }\end{array} \)
gives \(\begin{array}{l}\frac{ 120 \; \times \; 20}{ 160 }\end{array} \)
g of N = 15 g of NO.
Therefore, max of 15 g of nitric oxide can be obtained.
26. Using the standard electrode potentials given in Table 8.1, predict if the reaction between the following is feasible:
(a)
\(\begin{array}{l}Fe^{ 3+ }_{ (aq) }\end{array} \)
and \(\begin{array}{l}I^{ – }_{ (aq) }\end{array} \)
(b)
\(\begin{array}{l}Ag^{ + }_{ (aq) }\end{array} \)
and \(\begin{array}{l}Cu^{ }_{ (s) }\end{array} \)
(c)
\(\begin{array}{l}Fe^{ 3+ }_{ (aq) }\end{array} \)
and \(\begin{array}{l}Cu^{ }_{ (s) }\end{array} \)
(d)
\(\begin{array}{l}Ag^{ }_{ (s) }\end{array} \)
and \(\begin{array}{l}Fe^{ 3+ }_{ (aq) }\end{array} \)
(e)
\(\begin{array}{l}Br_{ 2 \; (aq) }\end{array} \)
and \(\begin{array}{l}Fe^{ 2+ }_{ (aq) }\end{array} \)
Answer:
(a) \(\begin{array}{l}Fe^{ 3+ }_{ (aq) }\end{array} \)
and \(\begin{array}{l}I^{ – }_{ (aq) }\end{array} \)
\(\begin{array}{l}2 \; Fe_{ (aq) }^{ 3+ } \; + \; 2 \; I^{ – }_{ (aq) } \; \rightarrow \; 2 \; Fe_{ (aq) }^{ 2+ } \; + \; I_{ 2 \; (s) }\end{array} \)
Oxidation half reaction: \(\begin{array}{l}2 \; I^{ – }_{ (aq) } \; \rightarrow \; I_{ 2 \; (s) } \; + \; 2 \; e^{ – }\end{array} \)
; Â Â Â Â Â Â Â \(\begin{array}{l}E^{\circ} \; = \; -0.54V\end{array} \)
Reduction half reaction: \(\begin{array}{l}[Fe_{ (aq) }^{ 3+ } \; + \; e^{ – } \; \rightarrow \; Fe_{ (aq) }^{ 2+ }] \; \times \; 2;\end{array} \)
; Â Â Â Â Â Â Â Â Â Â Â Â Â Â \(\begin{array}{l}E^{\circ} \; = \; +0.77V\end{array} \)
\(\begin{array}{l}2\; Fe_{ (aq) }^{ 3+ } \; + \;2 \; I^{ – } \; \rightarrow \; 2 \; Fe_{ (aq) }^{ 2+ } \; + \; I_{ 2 \; (s) };\end{array} \)
; Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â \(\begin{array}{l}E^{\circ} \; = \; +0.23V\end{array} \)
\(\begin{array}{l}E^{\circ}\end{array} \)
for the overall reaction is positive. Therefore, the reaction between \(\begin{array}{l}Fe_{ (aq) }^{ 3+ }\end{array} \)
and \(\begin{array}{l}I^{ – }_{ (aq) }\end{array} \)
is feasible.
(b) \(\begin{array}{l}Ag^{ + }_{ (aq) }\end{array} \)
and \(\begin{array}{l}Cu^{ }_{ (s) }\end{array} \)
\(\begin{array}{l}2 \; Ag^{ + }_{ (aq) } \; + \; Cu_{ (s) } \; \rightarrow \; 2 \; Ag_{ (s) } \; + \; Cu_{ (aq) }^{ 2+ }\end{array} \)
Oxidation half reaction: \(\begin{array}{l}Cu_{ (s) } \; \rightarrow \; Cu^{ 2+ }_{ (aq) } \; + \; 2 \; e^{ – }\end{array} \)
; Â Â Â Â Â Â Â Â Â \(\begin{array}{l}E^{\circ} \; = \; -0.34V\end{array} \)
Reduction half reaction: \(\begin{array}{l}[Ag^{ + }_{ (aq) } \; + \; e^{ – } \; \rightarrow \; Ag_{ (s) }] \; \times \; 2\end{array} \)
; Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â \(\begin{array}{l}E^{\circ} \; = \; +0.80V\end{array} \)
\(\begin{array}{l}2 \; Ag^{ + }_{ (aq) } \; + \; Cu_{ (s) } \; \rightarrow \; 2 \; Ag_{ (s) } \; + \; Cu^{ 2+ }\end{array} \)
; Â Â Â Â Â Â Â Â Â Â Â Â \(\begin{array}{l}E^{\circ} \; = \; +0.46V\end{array} \)
\(\begin{array}{l}E^{\circ}\end{array} \)
for the overall reaction is positive. Therefore, the reaction between \(\begin{array}{l}Ag_{ (aq) }^{ + }\end{array} \)
and \(\begin{array}{l}Cu_{ (s) }\end{array} \)
is feasible.
(c) \(\begin{array}{l}Fe^{ 3+ }_{ (aq) }\end{array} \)
and \(\begin{array}{l}Cu^{ }_{ (s) }\end{array} \)
\(\begin{array}{l}2 \; Fe^{ 3+ }_{ (aq) } \; + \; Cu_{ (s) } \; \rightarrow \; 2 \; Fe^{ 2+ }_{ (s) } \; + \; Cu^{ 2+ }_{ (aq) }\end{array} \)
Oxidation half reaction: \(\begin{array}{l}Cu_{ (s) } \; \rightarrow \; Cu^{ 2+ }_{ (aq) } \; + \; 2 \; e^{ – }\end{array} \)
; Â Â Â Â Â Â Â Â Â \(\begin{array}{l}E^{\circ} \; = \; -0.34V\end{array} \)
Reduction half reaction: \(\begin{array}{l}[Fe_{ (aq) }^{ 3+ }\; + \; e^{ – } \; \rightarrow \; Fe_{ (s) }^{ 2+ }] \; \times \; 2\end{array} \)
; Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â \(\begin{array}{l}E^{\circ} \; = \; +0.77V\end{array} \)
\(\begin{array}{l}2 \; Fe_{ (aq) }^{ 3+ } \; + \; Cu_{ (s) } \; \rightarrow \; 2 \; Fe_{ (s) }^{ 2+ } \; + \; Cu_{ (aq) }^{ 2+ }\end{array} \)
; Â Â Â Â Â Â Â Â Â Â Â \(\begin{array}{l}E^{\circ} \; = \; +0.43V\end{array} \)
\(\begin{array}{l}E^{\circ}\end{array} \)
for the overall reaction is positive. Therefore, the reaction between \(\begin{array}{l}Fe^{ 3+ }_{ (aq) }\end{array} \)
and \(\begin{array}{l}Cu^{ }_{ (s) }\end{array} \)
is feasible.
(d) \(\begin{array}{l}Ag^{ }_{ (s) }\end{array} \)
and \(\begin{array}{l}Fe^{ 3+ }_{ (aq) }\end{array} \)
\(\begin{array}{l}Ag_{ (s) } \; + \; 2 \; Fe_{ (aq) }^{ 3+ } \; \rightarrow \; Ag_{ (aq) }^{ + } \; + \; Fe_{ (aq) }^{ 2+ }\end{array} \)
Oxidation half reaction: \(\begin{array}{l}Ag_{ (s) } \; \rightarrow \; Ag_{ (aq) }^{ + } \; + \; e^{ – }\end{array} \)
; Â Â Â Â Â Â Â \(\begin{array}{l}E^{\circ} \; = \; -0.80V\end{array} \)
Reduction half reaction: \(\begin{array}{l}Fe_{ (aq) }^{ 3+ } \; + \; e^{ – } \; \rightarrow \; Fe_{ (aq) }^{ 2+ }\end{array} \)
; Â Â Â Â Â Â Â Â \(\begin{array}{l}E^{\circ} \; = \; +0.77V\end{array} \)
\(\begin{array}{l}Ag_{ (s) } \; + \; Fe_{ (aq) }^{ 3+ } \; \rightarrow \; Ag_{ (aq) }^{ + } \; + \; Fe_{ (aq) }^{ 2+ }\end{array} \)
; Â Â Â Â Â Â Â Â Â Â Â \(\begin{array}{l}E^{\circ} \; = \; -0.03V\end{array} \)
\(\begin{array}{l}E^{\circ}\end{array} \)
for the overall reaction is positive. Therefore, the reaction between \(\begin{array}{l}Ag^{ }_{ (s) }\end{array} \)
and \(\begin{array}{l}Fe^{ 3+ }_{ (aq) }\end{array} \)
is feasible.
(e) \(\begin{array}{l}Br_{ 2 \; (aq) }\end{array} \)
and \(\begin{array}{l}Fe^{ 2+ }_{ (aq) }\end{array} \)
\(\begin{array}{l}Br_{ 2 \; (s) } \; + \; 2 \; Fe_{ (aq) }^{ 2+ } \; \rightarrow \; 2 \; Br_{ (aq) }^{ – } \; + \; 2 \; Fe_{ (aq) }^{ 3+ }\end{array} \)
Oxidation half reaction: \(\begin{array}{l}[Fe_{ (aq) }^{ 2+ } \; \rightarrow \; Fe_{ (aq) }^{ 3+ } \; + \; e^{ – } ] \; \times \; 2\end{array} \)
; Â Â Â Â Â Â Â Â Â Â Â Â Â \(\begin{array}{l}E^{\circ} \; = \; -0.77V\end{array} \)
Reduction half reaction: \(\begin{array}{l}Br_{2\; (aq) } \; + \; 2 \; e^{ – } \; \rightarrow \; 2 \; Br_{ (aq) }^{ – }\end{array} \)
; Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â \(\begin{array}{l}E^{\circ} \; = \; +1.09V\end{array} \)
\(\begin{array}{l}Br_{2\; (s) } \; + \; 2 \; Fe_{ (aq) }^{ 2+ } \; \rightarrow \; 2 \; Br_{(aq)}^{ – } \; + \; 2 \; Fe_{ (aq) }^{3+}\end{array} \)
; Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â \(\begin{array}{l}E^{\circ} \; = \; -0.32V\end{array} \)
\(\begin{array}{l}E^{\circ}\end{array} \)
for the overall reaction is positive. Therefore, the reaction between \(\begin{array}{l}Br_{2\; (aq) }\end{array} \)
and \(\begin{array}{l}Fe^{2+}_{ (aq) }\end{array} \)
is feasible.
27. Predict the products of electrolysis in each of the following:
(i) An aqueous solution of
\(\begin{array}{l}AgNO_{3}\end{array} \)
with silver electrodes
(ii) An aqueous solution
\(\begin{array}{l}AgNO_{3}\end{array} \)
with platinum electrodes
(iii) A dilute solution of
\(\begin{array}{l}H_{2}SO_{4}\end{array} \)
with platinum electrodes
(iv) An aqueous solution of
\(\begin{array}{l}CuCl_{2}\end{array} \)
with platinum electrodes.
Answer:
(i) \(\begin{array}{l}AgNO_{3}\end{array} \)
ionizes in aqueous solution to form \(\begin{array}{l}Ag^{+}\end{array} \)
and \(\begin{array}{l}NO^{-}_{3}\end{array} \)
ions.
On electrolysis, either \(\begin{array}{l}Ag^{+}\end{array} \)
ion or \(\begin{array}{l}H_{2}O\end{array} \)
molecule can be decreased at cathode. But the reduction potential of \(\begin{array}{l}Ag^{+}\end{array} \)
ions is higher than that of \(\begin{array}{l}H_{2}O\end{array} \)
.
\(\begin{array}{l}Ag^{+}_{(aq)} \; + \; e^{-} \; \rightarrow Ag_{\left ( s \right )}\end{array} \)
; \(\begin{array}{l}E^{\circ} \; = \; +0.80V\end{array} \)
\(\begin{array}{l}2\; H_{2}O_{\left ( l \right )} \; +\; 2 \;e^{-} \; \rightarrow \;H_{2\;\left ( g \right )} \;+ \; 2 \;OH^{-}_{\left ( aq \right )}\end{array} \)
; \(\begin{array}{l}E^{\circ} \; = \; -0.83V\end{array} \)
Therefore, \(\begin{array}{l}Ag^{+}\end{array} \)
ions are decreased at the cathode. Same way, Ag metal or \(\begin{array}{l}H_{2}O\end{array} \)
molecules can be oxidized at the anode. But the oxidation potential of Ag is greater than that of \(\begin{array}{l}H_{2}O\end{array} \)
molecules.
\(\begin{array}{l}Ag_{\left ( s \right )} \; \rightarrow \;Ag^{+}_{\left ( aq \right )} \;+ \;e^{-}\end{array} \)
; \(\begin{array}{l}E^{\circ} \; = \; -0.80V\end{array} \)
\(\begin{array}{l}2\; H_{2}O_{\left ( l \right )}\; \rightarrow \;O_{2\;\left ( g \right )}\; +\; 4 \;H^{+}_{\left ( aq \right )}\; +\; 4\; e^{-}\end{array} \)
; \(\begin{array}{l}E^{\circ} \; = \; -1.23V\end{array} \)
Hence, Ag metal gets oxidized at the anode.
(ii) Pt cannot be oxidized very easily. Therefore, at the anode, oxidation of water occurs to liberate \(\begin{array}{l}O_{2}\end{array} \)
. At the cathode, \(\begin{array}{l}Ag^{+}\end{array} \)
ions are decreased and get deposited.
(iii) \(\begin{array}{l}H_{2}SO_{4}\end{array} \)
ionizes in aqueous solutions to give \(\begin{array}{l}H^{+}\end{array} \)
and \(\begin{array}{l}SO_{4}^{2-}\end{array} \)
ions.
\(\begin{array}{l}H_{2}SO_{4\;\left ( aq \right )} \;\rightarrow \; 2\; H^{+}_{\left ( aq \right )} \; +\; SO^{2-}_{4 \left ( aq \right )}\end{array} \)
On electrolysis, either of \(\begin{array}{l}H_{2}O\end{array} \)
molecules or \(\begin{array}{l}H^{+}\end{array} \)
ions can get decreased at cathode. But the decreased potential of \(\begin{array}{l}H^{+}\end{array} \)
ions is higher than that of \(\begin{array}{l}H_{2}O\end{array} \)
molecules.
\(\begin{array}{l}2 \;H^{+}_{\left ( aq \right )} \;+ \;2 \;e^{-} \;\rightarrow \;H_{2\;\left ( g \right )}\end{array} \)
; \(\begin{array}{l}E^{\circ} \; = \; 0.0V\end{array} \)
\(\begin{array}{l}2 \;H_{2}O_{\left ( aq \right )} \;+ \;2 \;e^{-} \;\rightarrow \;H_{2\;\left ( g \right )} \;+ \;2 \;OH^{-}_{\left ( aq \right )}\end{array} \)
; \(\begin{array}{l}E^{\circ} \; = \; -0.83V\end{array} \)
Therefore, at cathode, \(\begin{array}{l}H^{+}\end{array} \)
ions are decreased to free \(\begin{array}{l}H_{2}\end{array} \)
gas.
On the other hand, at the anode, either of \(\begin{array}{l}H_{2}O\end{array} \)
molecules or \(\begin{array}{l}SO_{4}^{2-}\end{array} \)
ions can be oxidized. But the oxidation of \(\begin{array}{l}SO_{4}^{2-}\end{array} \)
involves breaking of more bonds than that of \(\begin{array}{l}H_{2}O\end{array} \)
molecules. Therefore, \(\begin{array}{l}SO_{4}^{2-}\end{array} \)
ions have lower oxidation potential than \(\begin{array}{l}H_{2}O\end{array} \)
. Hence, \(\begin{array}{l}H_{2}O\end{array} \)
is oxidized at anode to free \(\begin{array}{l}O_{2}\end{array} \)
molecules.
(iv) Â In aqueous solutions, \(\begin{array}{l}CuCl_{2}\end{array} \)
ionizes to give \(\begin{array}{l}Cu^{2+}\end{array} \)
and \(\begin{array}{l}Cl^{-}\end{array} \)
ions as:
\(\begin{array}{l}CuCl_{2\; \left ( aq \right )} \;\rightarrow \;Cu^{2+}_{\left ( aq \right )} \;+ \;2 \;Cl_{\left ( aq \right )}^{-}\end{array} \)
\(\begin{array}{l}CuCl_{2\;\left ( aq \right )} \;\rightarrow \;Cu^{2+}_{\left ( aq \right )} \;+ \;2 \;Cl_{\left ( aq \right )}^{-}\end{array} \)
On electrolysis, either of \(\begin{array}{l}Cu^{2+}\end{array} \)
ions or \(\begin{array}{l}H_{2}O\end{array} \)
molecules can get decreased at cathode. But the decreased potential of\(\begin{array}{l}Cu^{2+}\end{array} \)
is more than that of \(\begin{array}{l}H_{2}O\end{array} \)
molecules.
\(\begin{array}{l}Cu^{2+}_{\left ( aq \right )} \;+ \;2 \;e^{-} \;\rightarrow \;Cu_{\left ( aq \right )}\end{array} \)
; \(\begin{array}{l}E^{\circ} \; = \; +0.34V\end{array} \)
\(\begin{array}{l}H_{2}O_{\left ( l \right )} \;+ \;2 \;e^{-} \;\rightarrow \;H_{2\;\left ( g \right )} \;+ \; 2 \;OH^{-}\end{array} \)
; \(\begin{array}{l}E^{\circ} \; = \; -0.83V\end{array} \)
Therefore, \(\begin{array}{l}Cu^{2+}\end{array} \)
ions are decreased at the cathode and get deposited. In the same way, at the anode, either of \(\begin{array}{l}Cl^{-}\end{array} \)
or\(\begin{array}{l}H_{2}O\end{array} \)
is oxidized. The oxidation potential of \(\begin{array}{l}H_{2}O\end{array} \)
is higher than that of \(\begin{array}{l}Cl^{-}\end{array} \)
.
\(\begin{array}{l}2 \;Cl^{-}_{\left ( aq \right )} \;\rightarrow \;Cl_{2\;\left ( g \right )} \;+ \;2 \;e^{-}\end{array} \)
; \(\begin{array}{l}E^{\circ} \; = \; +0.34V\end{array} \)
\(\begin{array}{l}2\; H_{2}O_{\left ( l \right )} \;\rightarrow \;O_{2\;\left ( g \right )} \;+ \;4 \;H^{+}_{\left ( aq \right )} \;+ \;4 \;e^{-}\end{array} \)
; \(\begin{array}{l}E^{\circ} \; = \; -1.23V\end{array} \)
But oxidation of \(\begin{array}{l}H_{2}O\end{array} \)
molecules occurs at a lower electrode potential compared to that of \(\begin{array}{l}Cl^{-}\end{array} \)
ions because of over-voltage (extra voltage required to liberate gas). As a result, \(\begin{array}{l}Cl^{-}\end{array} \)
ions are oxidized at the anode to liberate \(\begin{array}{l}Cl_{2}\end{array} \)
gas.
28. Arrange the given metals in the order in which they displace each other from the solution of their salts.
Al, Fe, Cu, Zn, Mg
Answer:
A metal with stronger reducing power displaces another metal with weaker reducing power from its solution of salt.
The order of the increasing reducing power of the given metals is as given below:
Cu < Fe < Zn < Al < Mg
Therefore, Mg can displace Al from its salt solution, but Al cannot displace Mg. Thus, the order in which the given metals displace each other from the solution of their salts is as given below: Mg >Al>Zn> Fe >Cu
29. Given the standard electrode potentials,
\(\begin{array}{l}K^{+}\end{array} \)
/K = –2.93V
\(\begin{array}{l}Ag^{+}\end{array} \)
/Ag = 0.80V
\(\begin{array}{l}Hg^{2+}\end{array} \)
/Hg = 0.79V
\(\begin{array}{l}Mg^{2+}\end{array} \)
/Mg = –2.37V
\(\begin{array}{l}Cr^{3+}\end{array} \)
/Cr = –0.74V
Arrange these metals in their increasing order of reducing power.
Answer:
The reducing agent is stronger as the electrode potential decreases. Hence, the increasing order of the reducing power of the given metals is as given below:
Ag < Hg < Cr < Mg < K
30. Depict the galvanic cell in which the reaction is:
\(\begin{array}{l}Zn_{\left ( s \right )} \;+ \;2 \;Ag_{\left ( aq \right )}^{+} \;\rightarrow \;Zn^{2+}_{\left ( aq \right )} \;+ \;2 \;Ag_{\left ( s \right )}\end{array} \)
Further show:
(i) which of the electrode is negatively charged?
(ii) the carriers of the current in the cell.
(iii) individual reaction at each electrode.
Answer:
The galvanic cell corresponding to the given redox reaction can be shown as:
Zn|\(\begin{array}{l}Zn^{2+}_{\left ( aq \right )}\end{array} \)
||\(\begin{array}{l}Ag^{+}_{\left ( aq \right )}\end{array} \)
|Ag
(i) Zn electrode is negatively charged because at this electrode, Zn oxidizes to \(\begin{array}{l}Zn^{2+}\end{array} \)
and the leaving electrons accumulate on this electrode.
(ii) The carriers of current are ions in the cell.
(iii) Reaction at Zn electrode is shown as:
\(\begin{array}{l}Zn_{\left ( s \right )} \;\rightarrow \;Zn^{2+}_{\left ( aq \right )} \;+ \;2 \;e^{-}\end{array} \)
Reaction at Ag electrode is shown as:
\(\begin{array}{l}Ag^{+}_{\left ( aq \right )} \;+ \;e^{-}\;\rightarrow \;Ag_{\left ( s \right )}\end{array} \)
Some of the important topics covered in NCERT Solutions for Class 11 Chemistry Chapter 8 are given below:
- Classical Idea of Redox Reactions – Oxidation and Reduction Reactions
- Redox Reactions in Terms of Electron Transfer Reactions
- Oxidation Number
- Redox Reactions and Electrode Processes
About BYJU’S NCERT Solutions
The NCERT Solutions for Class 11 Chemistry Chapter 8 provided on this page contains all the intext and exercise questions listed in Chapter 8 of the NCERT Chemistry textbook for Class 11 and, therefore, covers many important questions that could be asked in the board examinations. BYJU’S NCERT Solutions for Class 11 Chemistry is provided for the benefit of students’ preparations.
Also, detailed, step-by-step explanations have been provided in every solution by our esteemed subject experts, which is the reason why the NCERT Solutions provided by BYJU’S are regarded by many to be highly student-friendly and concept-focused. Students facing any sort of difficulty while going through the chemistry solutions provided here may get in touch with BYJU’S support team, who are always available to clear their doubts.
Frequently Asked Questions on NCERT Solutions for Class 11 Chemistry Chapter 8
Q1
What are the main topics covered in NCERT Solutions for Class 11 Chemistry Chapter 8?
The main topics covered in NCERT Solutions for Class 11 Chemistry Chapter 8 are given below:
Classical Idea of Redox Reactions – Oxidation and Reduction Reactions
Redox Reactions in Terms of Electron Transfer Reactions
Competitive Electron Transfer Reactions
Oxidation Number
Types of Redox Reactions
Balancing of Redox Reactions
Redox Reactions as the Basis for Titrations
Limitations of Concept of Oxidation Number
Redox Reactions and Electrode Processes.
Q2
How many questions are there in NCERT Solutions for Class 11 Chemistry Chapter 8?
NCERT Solutions for Class 11 Chemistry Chapter 8 contains a total of 30 questions. Practising these exercises helps you in scoring high in the board exams and also helps to ease the subject. These solutions are explained by subject matter experts to help you clear your doubts.
Q3
What is the meaning of oxidation number according to NCERT Solutions for Class 11 Chemistry Chapter 8?
According to NCERT Solutions for Class 11 Chemistry Chapter 8, oxidation number can be described as the number that is allocated to elements in a chemical combination. The oxidation number is basically the count of electrons that atoms in a molecule can share, lose or gain while forming chemical bonds with other atoms of a different element.
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