Chapter 6, Problem 6.82P

The temperature dependence of the second virial coefficient B is shown for nitrogen in Fig. 3.8. Qualitatively, the shape of B(T) is the same for all gases: quantitatively, the temperature for which B = 0 corresponds to a reduced temperature of about T_r= 2.7 for many gases. Use these observations to show by Eqs. (6.54) through (6.56) that the residual properties G^R, H^R, and S^Rare negative for most gases at modest pressures and normal temperatures. What can you say about the signs of V^R and $C_P^R$?

Figure 3.8 Virial coefficients B and C for nitrogen.