   # Consider the galvanic cell based on the following half-reactions: a. Determine the overall cell reaction and calculate b. Calculate ΔG ° and K for the cell reaction at 25°C. c. Calculate at 25°C when [Au 3+ ] = 1.0 × 10 −2 M and [Tl + ] = 1.0 × 10 −4 M. ### 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 78E
Textbook Problem
1 views

## Consider the galvanic cell based on the following half-reactions: a. Determine the overall cell reaction and calculate b. Calculate ΔG° and K for the cell reaction at 25°C.c. Calculate at 25°C when [Au3+] = 1.0 × 10−2 M and [Tl+] = 1.0 × 10−4 M.

(a)

Interpretation Introduction

Interpretation:

The half-reaction taking place in a galvanic cell is given. Various questions based on the cell reaction are to be answered.

Concept introduction:

The relationship between reduction potential and standard reduction potential value and activities of species present in an electrochemical cell at a given temperature is given by the Nernst equation.

The value of Ecell is calculated using Nernst formula,

E=E°(RTnF)ln(Q)

At room temperature the above equation is specifies as,

E=E°(0.0591n)log(Q)

This relation is further used to determine the relation between ΔG° and K , ΔG° and E°cell .

To determine: The overall cell reaction and E°cell for the given cell reaction.

### Explanation of Solution

The reaction taking place on cathode,

Au3++3eAuE°red=1.50V

The reaction taking place at anode,

TlTl++eE°ox=0.34V

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

Au3++3eAu3Tl3Tl++3e

The overall cell reaction is,

(b)

Interpretation Introduction

Interpretation:

The half-reaction taking place in a galvanic cell is given. Various questions based on the cell reaction are to be answered.

Concept introduction:

The relationship between reduction potential and standard reduction potential value and activities of species present in an electrochemical cell at a given temperature is given by the Nernst equation.

The value of Ecell is calculated using Nernst formula,

E=E°(RTnF)ln(Q)

At room temperature the above equation is specifies as,

E=E°(0.0591n)log(Q)

This relation is further used to determine the relation between ΔG° and K , ΔG° and E°cell .

To determine: The value of ΔG° and K for the cell reaction at 25°C .

(c)

Interpretation Introduction

Interpretation:

The half-reaction taking place in a galvanic cell is given. Various questions based on the cell reaction are to be answered.

Concept introduction:

The relationship between reduction potential and standard reduction potential value and activities of species present in an electrochemical cell at a given temperature is given by the Nernst equation.

The value of Ecell is calculated using Nernst formula,

E=E°(RTnF)ln(Q)

At room temperature the above equation is specifies as,

E=E°(0.0591n)log(Q)

This relation is further used to determine the relation between ΔG° and K , ΔG° and E°cell .

To determine: The value of Ecell for the given concentrations of Au3+ and Tl+ .

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