15.2 Exercise 15

A car tire contains $0 . \text{0380} m^{3}$ of nitrogen at a gauge pressure of $2 . \text{20} \times \text{10}^{5} \text{ N}/\text{m}^{2}$ (about 32 psi). How much more internal energy does this gas have than the same volume has at zero gauge pressure (which is equivalent to normal atmospheric pressure)? (Use $E_{\text{int}} = \frac{5}{2} N k T$ for the internal energy of nitrogen, a diatomic gas.)