
A galvanic cell consists of a Mg electrode in a 1 M Mg(NO3)2 solution and another metal electrode X in a 1 M X(NO3)2 solution. Listed here are the E°cell values of four such galvanic cells. In each case, identify X from Table 18.1. (a) E°cell = 2.12 V, (b) E°cell = 2.24 V, (c) E°cell = 1.61 V, (d) E°cell = 1.93 V.
(a)

Interpretation:
The unknown electrode ‘X’ has to be identified.
Concept introduction:
Standard reduction potential: The voltage associated with a reduction reaction at an electrode when all solutes are 1M and all gases are at 1 atm. The hydrogen electrode is called the standard hydrogen electrode (SHE).
Standard emf:
Where both
Explanation of Solution
The standard reduction potential of Mg (+2) as follows,
The standard reduction potential of Pb (+2) as follows,
Calculated standard emf for galvanic cell as follows,
Therefore, the cathode emf is
(b)

Interpretation:
The unknown electrode ‘X’ has to be identified.
Concept introduction:
Standard reduction potential: The voltage associated with a reduction reaction at an electrode when all solutes are 1M and all gases are at 1 atm. The hydrogen electrode is called the standard hydrogen electrode (SHE).
Standard emf:
Where both
Explanation of Solution
The standard reduction potential of Mg (+2) as follows,
The standard reduction potential of Pb (+2) as follows,
Calculated standard emf for galvanic cell as follows,
The given standard emf of the redox reaction is,
Therefore, the cathode emf is
c)

Interpretation:
The unknown electrode ‘X’ has to be identified.
Concept introduction:
Standard reduction potential: The voltage associated with a reduction reaction at an electrode when all solutes are 1M and all gases are at 1 atm. The hydrogen electrode is called the standard hydrogen electrode (SHE).
Standard emf:
Where both
Explanation of Solution
The standard reduction potential of Mg (+2) as follows,
The standard reduction potential of Pb (+2) as follows,
Calculated standard emf for galvanic cell as follows,
The given standard emf of the redox reaction is,
Therefore, the cathode emf is
d)

Interpretation:
The unknown electrode ‘X’ has to be identified.
Concept introduction:
Standard reduction potential: The voltage associated with a reduction reaction at an electrode when all solutes are 1M and all gases are at 1 atm. The hydrogen electrode is called the standard hydrogen electrode (SHE).
Standard emf:
Where both
Explanation of Solution
The standard reduction potential of Mg (+2) as follows,
The standard reduction potential of Pb (+2) as follows,
Calculated standard emf for galvanic cell as follows,
The given standard emf of the redox reaction is,
Therefore, the cathode emf is
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Chapter 18 Solutions
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