Find the molar volume of methane at P = 15 bar and T = 200°C (it is a gas at these conditions), using the following methods.

A. The Soave equation of state

B. The Peng-Robinson equation of state

C. The virial equation of state

D. The Lee-Kesler generalized correlation

E. Figure 7-1

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FIGURE 7-1 Thermodynamic properties of methane. Pressure, psia 200 10,000 7000 5000 3000 2000 1000 700 500 300 200 100 70 50 30 20 10 7 5 feld Founday 400 600 800 3 2 100 150 200 250 300 350 Enthalpy, kJ/kg 1000 400 450 Enthalpy, Btu/lbm Based on NIST: Thermal Physics Division, Boulder, 00., as seen in Lima, J.R. Elliott and C. T.. Introductory Chemical Engineering Thermodynamics, Prentice-Hall, 1999. 1200 500 1400 1200 111 550 600 500 1400 550 600 650 1600 700 740 70 50 30 20 27532 10 1 0.7 0.5 0.3 0.2 0.1 0.07 0.05 0.03 0.02 0.01 Pressure, MPa