Blundell Thermal Physics · Problem 18.2

The third law

Physics — Statistical Mechanics · gibbs-enthalpy-third-law

Problem

Recall from eqn 16.26 that

H = G - T\left(\frac{\partial G}{\partial T}\right)_p. \tag{18.9}

Hence show that

\Delta G - \Delta H = T\left(\frac{\partial \Delta G}{\partial T}\right)_p, \tag{18.10}

and explain what happens to these terms as the temperature

T \to 0