From experimental data it is known that at moderate pressures the volumetric equation of state may be written as PV = RT + B · P, where the second virial coefficient B is a function of temperature only. Data for methane are given by Dymond and Smith (1969) as,

(a) Identify the Boyle temperature (the temperature at which B =0) and the inversion temperature (the temperature at which (∂T/∂P)_H = 0) for gaseous methane. 

(b) Plot these data versus T^-1 and compare to the curve generated from Eqn. 7.7. Use points without lines for the experimental data and lines without points for the theoretical curve.

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T(K) 120 140 160 180 200 250 300 B(cm³/mole) -284-217 -169 -133-107 -67 -42 350 400 500 600 -0.5 8.5 -27.0-15.5