Blundell Thermal Physics · Problem 16.5

Thermodynamic potentials

Physics — Statistical Mechanics · pressure-internal-energy-general-gas

Problem

Use thermodynamic arguments to obtain the general result that, for any gas at temperature

T

, the pressure is given by

P = T\left(\frac{\partial P}{\partial T}\right)_V - \left(\frac{\partial U}{\partial V}\right)_T, \tag{16.88}

where

U

is the total energy of the gas.