Ideal gas: Heat capacity

$C_{p}-C_{V}=\left.{\frac {\partial V}{\partial T}}\right\vert _{p}\left(p+\left.{\frac {\partial U}{\partial V}}\right\vert _{T}\right)$

for an ideal gas this becomes:

$\left.C_{p}-C_{V}\right.=R$

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