Chapter 17, Problem 84E

(a)

Interpretation Introduction

Interpretation:

A concentration cell with silver electrode as cathode and anode with different concentrations of different ions is given. Various questions based on the given concentrations and cell potential 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 $E_{\text{cell}}$ is calculated using Nernst formula,

$E=E°-\left(\frac{RT}{nF}\right)\ln \left(Q\right)$

At room temperature the above equation is specifies as,

$E=E°-\left(\frac{0.0591}{n}\right)\log \left(Q\right)$

This relation is further used to determine the relation between $\Delta G°$ and $K$ , $\Delta G°$ and $E{°}_{\text{cell}}$. The value of equilibrium constant helps to predict the extent of the reaction.

To determine: The concentration of ${\text{Ag}}^{+}$ at the anode.

(b)

Interpretation Introduction

Interpretation:

A concentration cell with silver electrode as cathode and anode with different concentrations of different ions is given. Various questions based on the given concentrations and cell potential 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 $E_{\text{cell}}$ is calculated using Nernst formula,

$E=E°-\left(\frac{RT}{nF}\right)\ln \left(Q\right)$

At room temperature the above equation is specifies as,

$E=E°-\left(\frac{0.0591}{n}\right)\log \left(Q\right)$

This relation is further used to determine the relation between $\Delta G°$ and $K$ , $\Delta G°$ and $E{°}_{\text{cell}}$. The value of equilibrium constant helps to predict the extent of the reaction.

To determine: The value of equilibrium constant for the formation of $\text{Ag}{\left({\text{S}}_2{\text{O}}_3\right)}_2{}^{3-}$.