At 500 K the molar volume (Vm) of a hydrocarbon may be estimated from: PVm / RT = 1 – 0.005P (P in bar; 0 < P < 100) (i)

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At 500 K the molar volume (Vm) of a hydrocarbon may be estimated
from: PVm / RT = 1 – 0.005P (P in bar; 0 < P < 100)
(i) What type of equation of state is this and how would it
change if it was to be used at a different temperature? [1
mark]
(ii) Sketch a diagram of the compression factor for the gas over
a pressure range of 0 to 1000 bar to illustrate a typical and
expected trend. Briefly explain the trend. [2 marks]
(iii) Calculate the fugacity of the gas at 100 bar. Give an
example when fugacity information would be needed in thermodynamic
calculations.