a. Show that at moderately low pressures and densities the virial equation of state can be written

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a. Show that at moderately low pressures and densities the virial equation of state can be written as 

PV RT = 1 + B P RT 2  + (C-B) B) (P) +. RT

b. Prove that the fugacity coefficient for this form of the virial equation of state is 

2 f P // = exp{B (7) + C-B) (7) * +...} (P RT 2 RT

c. The first two virial coefficients for methyl fluoride at 50°C are B = −0.1663 m3 /kmol and C = 0.012 92 (m3 /kmol)2. Plot the ratio f /P as a function of pressure at 50°C for pressures up to 150 bar. Compare the results with the corresponding-states plot of f /P versus P/Pc.

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