   # Calculate the maximum amount of work that can be obtained from the galvanic cells at standard conditions in Exercise 45. ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 17, Problem 51E
Textbook Problem
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## Calculate the maximum amount of work that can be obtained from the galvanic cells at standard conditions in Exercise 45.

(a)

Interpretation Introduction

Interpretation:

The set up of two galvanic cells is given. The value of maximum work that can be obtained from the given galvanic cell is to be calculated.

Concept introduction:

The species with higher reduction potential undergoes reduction at the cathode while the species with lower reduction potential undergoes oxidation at the anode. The change in Gibbs free energy is the useful amount work that can be done and negative value of ΔG° shows that the reaction is spontaneous in nature.

To determine: The value of maximum work that can be obtained from the given galvanic cell.

### Explanation of Solution

The value of maximum work that can be obtained from the given galvanic cell is calculated as -387.87kJ_ .

The reaction taking place at cathode is,

Au3+(aq)+3eAu(s)E°red=+1.50V

The reaction taking place at anode is,

Cu+(aq)Cu2+(aq)+eE°ox=0.16V

Multiply the oxidation half reaction with a coefficient of 3 and then add both the oxidation and reduction half-reaction,

Au3+(aq)+3eAu(s)3Cu+(aq)3Cu2+(aq)+3e

The final equation is,

Au3+(aq)+3Cu+(aq)Au(s)+3Cu2+(aq)

The overall cell potential is calculated as,

E°cell=E°ox+E°red=0.16V+1.50V=1

(b)

Interpretation Introduction

Interpretation:

The set up of two galvanic cells is given. The value of maximum work that can be obtained from the given galvanic cell is to be calculated.

Concept introduction:

The species with higher reduction potential undergoes reduction at the cathode while the species with lower reduction potential undergoes oxidation at the anode. The change in Gibbs free energy is the useful amount work that can be done and negative value of ΔG° shows that the reaction is spontaneous in nature.

To determine: The value of maximum work that can be obtained from the given galvanic cell.

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