Chapter 3, Problem 3.57AP

Interpretation Introduction

Interpretation:

The relationship between $\text{Δ}G°$ for the reaction and the $\text{Δ}{G}_{\text{a}}^{°}$ values of the individual acids $\text{AH}$ and $\text{BH}$ is to be derived.

Concept introduction:

The relation between standard free energy of ionization $\text{Δ}{G}_{\text{a}}^{\circ }$ and dissociation constant $K_{\text{a}}$ is given by an expression shown below.

$\text{Δ}{G}_{\text{a}}^{\circ }=2.3RT\left(\text{p}{K}_{\text{a}}\right)$

Where,

• $R$ is the Gas constant.

• $T$ is the absolute temperature in Kelvin.

• $K_{\text{a}}$ is the dissociation constant.