Chapter 19, Problem 19.8QP

Interpretation Introduction

Interpretation:

The mathematical relationship between $\text{ΔG,}\text{E}°\text{and}\text{K}$ are should be given.

Concept introduction:

Gibbs Energy $\text{ΔG}$:

The energy change of a system is given by Gibbs Energy $\text{ΔG}$ in thermodynamics, in the energy difference between reactants and products are given by $\text{ΔG}$.

Standard Cell Potential $\text{E}°$:

The maximum potential differences between two electrodes in a cell are measured at standard stats conditions to give a standard cell potential.

The stats conditions are, $\text{25°C}\text{Temperature}\text{,}\text{1}\text{atm}\text{Pressure}\text{and}\text{1M}\text{Concentration}$

It is given by,

$\begin{array}{l}{\text{E°}}_{\text{cell}}{\text{=E}}_{\text{reduction}}{\text{+E}}_{\text{oxidation}}\\ \\ {\text{E°}}_{\text{cell}}{\text{=E}}_{\text{cathode}}{\text{+E}}_{\text{anode}}\end{array}$

The Equilibrium Constant $\text{K}$:

The equilibrium constant is given by the ratio between concentrations of produces with reactants and it is,

$\text{aA+bB}\stackrel{}{\to }\text{cC+dD}$

The equilibrium constant for the above reaction is,

$\begin{array}{l}\\ {\text{K}}_{\text{c}}\text{=}\frac{{\text{[C]}}^{\text{c}}{\text{[D]}}^{\text{d}}}{{\text{[A]}}^{\text{a}}{\text{[B]}}^{\text{b}}}\end{array}$