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^R_P?

Fig. 3.8

Eq.(6.54)

Eq.(6.56)

Transcribed Image Text:

100 4000 2000 B -2000 -100 -4000 Figure 3.8: Virial coefficients B and c for nitrogen. -200 -300 100 200 300 400 T/K B/cm 3 mol -1 C/cm6 mol -2