Chapter 15, Problem 15.105SP

Interpretation Introduction

Interpretation: $\Delta H^0$ for the given reaction has to be determined graphically.

Concept introduction:

The van’t Hoff equation relates the temperature dependence of $K_c$ to the reaction enthalpy change.

$\ln K=-\frac{\Delta H^0}{RT}+C$

Where,

T is the temperature.

$\Delta H^0$ Standard enthalpy change

R is the universal gas constant

C is the constant.

Standard enthalpy change can be determined through graphical method,

In the graph of ${\text{lnK}}_{\text{p}}$ and,$\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$T$}\right.$ slope will give the Standard enthalpy change.

$\begin{array}{c}\text{slope}\text{=}-\frac{\Delta H^0}{R}\\ \Delta H^0\text{=}-\text{slope}\text{×}\text{R}\end{array}$