Chapter 5, Problem 5.30E

Interpretation Introduction

Interpretation:

Whether it is appropriate to define a $K_{\text{mix}}$ from ${\Delta }_{\text{mix}}G$ by the use of given equation or not is to be predicted. The reason for the same is to be explained.

Concept introduction:

The equilibrium constant of a reaction is expressed as the ratio of partial pressure of products and reactants each raised to the power of their stoichiometric coefficients. A typical equilibrium reaction is represented as,

$a\text{A}+b\text{B}\rightleftharpoons c\text{C}$

The algebraic form of equilibrium constant for the above chemical reaction is expressed as,

$K=\frac{{\left(p_{\text{C}}\right)}^c}{{\left(p_{\text{A}}\right)}^a{\left(p_{\text{B}}\right)}^b}$

Where,

• $\left(p_{\text{A}}\right)$ represents the partial pressure of reactant $\text{A}$.

• $\left(p_{\text{B}}\right)$ represents the partial pressure of reactant $\text{B}$.

• $\left(p_{\text{C}}\right)$ represents the partial pressure of product $\text{C}$.

• $a$ represents the stoichiometric coefficient of reactant $\text{A}$.

• $b$ represents the stoichiometric coefficient of reactant $\text{B}$.

• $c$ represents the stoichiometric coefficient of product $\text{C}$.