Chapter 19, Problem 19.144QP

(a)

Interpretation Introduction

Interpretation:

The given cell should be identified as electrolytic or voltaic cell and affect of cell potential, when decreeing concentration of ${\text{[Y}}^{\text{+}}]$ should be explained. The free energy and equilibrium constant should be given at equilibrium condition.

Concept introduction:

Free energy change:

In thermodynamics the cell potential is known as  maximum work of the cell and it is equal to free energy change of the cell and it is given by,

$\text{ΔG}\text{=}{\text{-nFE}}_{\text{cell}}$

Where,

$\begin{array}{l}\text{ΔG}\text{is}\text{free}\text{energy}\text{change}\\ \text{n}\text{is}\text{number}\text{of}\text{electron}\text{transferred}\\ \text{F}\text{is}\text{faraday constant}\\ {\text{E}}_{\text{cell}}\text{is}\text{cell potential}\end{array}$

(b)

Interpretation Introduction

Interpretation:

The given cell should be identified as electrolytic or voltaic cell and affect of cell potential, when decreeing concentration of ${\text{[Y}}^{\text{+}}]$ should be explained. The free energy and equilibrium constant should be given at equilibrium condition.

Concept introduction:

Nernst equation:

The relationship between standard cell potential and cell potential at non standard conditions and the reaction quotient are given by Nernst equation it is,

${\text{E}}_{\text{cell}}\text{=}{\text{E°}}_{\text{cell}}\text{-}\frac{\text{2}\text{.303}\text{RT}}{\text{nF}}\text{logQ}$

Where,

$\begin{array}{l}{\text{E}}_{\text{cell}}\text{ is}\text{cell potential}\\ {\text{E°}}_{\text{cell}}\text{is}\text{standard cell potential}\\ \text{R}\text{is}\text{gas}\text{constant}\\ \text{T}\text{is}\text{temperature}\\ \text{Q}\text{is}\text{reaction quotient}\end{array}$

(c)

Interpretation Introduction

Interpretation:

The given cell should be identified as electrolytic or voltaic cell and affect of cell potential, when decreeing concentration of ${\text{[Y}}^{\text{+}}]$ should be explained. The free energy and equilibrium constant should be given at equilibrium condition.

Concept introduction:

Free energy change:

In thermodynamics the cell potential is known as  maximum work of the cell and it is equal to free energy change of the cell and it is given by,

$\text{ΔG}\text{=}{\text{-nFE}}_{\text{cell}}$

Where,

$\begin{array}{l}\text{ΔG}\text{is}\text{free}\text{energy}\text{change}\\ \text{n}\text{is}\text{number}\text{of}\text{electron}\text{transferred}\\ \text{F}\text{is}\text{faraday constant}\\ {\text{E}}_{\text{cell}}\text{is}\text{cell potential}\end{array}$

(d)

Interpretation Introduction

Interpretation:

The given cell should be identified as electrolytic or voltaic cell and affect of cell potential, when decreeing concentration of ${\text{[Y}}^{\text{+}}]$ should be explained. The free energy and equilibrium constant should be given at equilibrium condition.

Concept introduction:

Free energy change:

In thermodynamics the cell potential is known as  maximum work of the cell and it is equal to free energy change of the cell and it is given by,

$\text{ΔG}\text{=}\text{-RTln}\text{k}$

Where,

$\begin{array}{l}\text{ΔG}\text{is}\text{free}\text{energy}\text{change}\\ \text{T}\text{is}\text{temperature}\\ \text{K}\text{is}\text{equilibrium}\text{constant}\end{array}$