Ideal gas: Heat capacity

$C_p-C_V={\frac{\partial V}{\partial T}|}_p(p+{\frac{\partial U}{\partial V}|}_T)$

for an ideal gas this becomes:

$C_p-C_V=R$

References

1. Donald A. McQuarrie "Statistical Mechanics" (1976) Eq. 1-1
2. Landau and Lifshitz Course of Theoretical Physics Volume 5 Statistical Physics 3rd Edition Part 1 Equation 42.11