Chapter 17, Problem 17.75P

Interpretation Introduction

Interpretation:

The data given for the formation of methanol is at ${\text{298 K, K}}_{\text{p}}\text{= 2}{\text{.25×10}}^{\text{4}}$ for reaction,

  ${\text{CO(g) + 2H}}_{\text{2}}\text{(g) }\rightleftharpoons {\text{CH}}_{\text{3}}\text{OH(l)}$

${\text{K}}_{\text{p}}$ has to be calculated at ${\text{0}}^{\text{°}}$ if ${\text{ΔH}}_{\text{r×n}}^{\text{°}}{\text{ = -128 kJ/mol CH}}_{\text{3}}\text{OH}$.

Concept Introduction:

van’t Hoff equation gives the effect of equilibrium constant by change in temperature.  The van’t Hoff equation is given as,

  $\begin{array}{l}\text{ln}\frac{{\text{K}}_{\text{2}}}{{\text{K}}_{\text{1}}}\text{ = -}\frac{{\text{ΔH}}_{\text{r×n}}^{\text{°}}}{\text{R}}\left(\frac{\text{1}}{{\text{T}}_{\text{2}}}\text{-}\frac{\text{1}}{{\text{T}}_{\text{1}}}\right)\\ \\ \text{where, K = Rate constant}\\ \\ \text{R = Universal gas constant = 8}\text{.314 J/mol}\text{.K}\\ \\ \text{T = Temperature}\\ \\ {\text{ΔH}}_{\text{r×n}}^{\text{°}}\text{= enthalpy of the reaction}\end{array}$