?The temperature dependence of the second virial coefficient B is shown for nitrogen in

Chapter 6, Problem 6.82

(choose chapter or problem)

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 \(S^{R}\) are negative for most gases at modest pressures and normal temperatures. What can you say about the signs of \(V^{R}\) and \(C_{P}^{R}\) ?

Text Transcription:

T_r = 2.7

G^R

H^R

S^R

V^R

C_P^R