Chapter 21, Problem 21.13QP

Interpretation Introduction

Interpretation:

The equilibrium constant of the reaction at given temperature and standard free energies has to be calculated.

Concept introduction:

• Calculate the standard free energy change from the given standard free energies of formation of the given reaction.
• Once the standard free energy change is calculated, we can easily calculate the equilibrium constant ( ${\text{K}}_{\text{P}}$) from standard free energy change.

The formula to calculate Gibbs free energy change is

$\Delta {\text{G}}^{\circ }=\Delta {\text{G}}_{\text{f}}{}^{\circ }\left[\text{Ni}\left(\text{CO}\right)4\right]-\left[4\Delta {\text{G}}_{\text{f}}{}^{\circ }\left(\text{CO}\right)+\Delta {\text{G}}_{\text{f}}{}^{\circ }(Ni)\right]$

Relationship between standard free energy change and equilibrium constant is

$\Delta {\text{G}}^{\circ }=-{\text{RTlnK}}_{\text{P}}$