Chapter 13, Problem 42E

Interpretation Introduction

Interpretation:

The value of equilibrium constant and $\Delta \text{rG}°$ for the given reaction needs to be determined.

$\text{CO}\left(g\right)+2{\text{H}}_{\text{2}}\left(g\right)\to {\text{CH}}_{\text{3}}\text{OH}\left(g\right)$

Concept introduction:

The Gibb’s equation of thermodynamic purposed a relation between $\text{ΔS}$, $\text{ΔH}$ and $\text{ΔG}$ with Temperature. The mathematical expression of Gibb’s equation can be written as:

$\text{ΔG = ΔH - TΔS }$

With the help of this equation one can predict the change in $\text{ΔS}$, $\text{ΔH}$ and $\text{ΔG}$. For any reaction the $\text{ΔH}$ and $\text{ΔS}$ can be calculated as follows:

$\begin{array}{l}\text{ΔrS°= }\Sigma \text{ΔrS°product - }\sum \text{ΔrS°reactant}\\ \text{ΔrH°= }\Sigma \text{ΔrH°product - }\sum \text{ΔrH°reactant}\end{array}$