Chapter 4, Problem 4.54E

Interpretation Introduction

Interpretation:

The expression of the Gibbs-Helmholtz equation is to be verified using a basic form of the Gibbs-Helmholtz equation. The importance of chain rule of derivatives in the derivation of the Gibbs-Helmholtz equation is to be stated.

Concept introduction:

The chain rule of partial derivatives follows a certain set of steps. The equation which is used in the chain rule is given below.

$\frac{\partial }{\partial t}f\left(x,y\right)=\frac{\partial f}{\partial x}\times \frac{\partial x}{\partial t}+\frac{\partial f}{\partial y}\times \frac{\partial y}{\partial t}$

In the above equation, $f\left(x,y\right)$ is the function having variables $x$ and $y$. The Gibbs-Helmholtz equation is given by the relation shown below.

$\frac{\partial }{\partial T}{\left(\frac{\Delta G}{T}\right)}_p=-\frac{\Delta H}{T^2}$