Chapter 8.1, Problem 13P

To determine

Verification of the statement that total energy $U$ of monoatomic non-ideal gas is $\left(\frac{3}{2}NkT+\frac{N^2}{V}\cdot 2\pi {\displaystyle \underset{0}{\overset{\infty }{\int }}{r}^{2}u\left(r\right)e^{-\beta u\left(r\right)}dr}\right)$ , graphical representation of temperature-dependent portion of correction term and numerical computation of correction term.