Liquid octane has a vapor pressure of $420$kPa at $150C,$ and its second virial coefficient at this

temperature is $-623c\frac{m^3}{m}ol.$ Here, use the virial equation of state with an expansion in $\frac{1}{V_{?}}($as

in problem #$1).$

a$)$ Calculate the fugacity of octane vapor at saturation at $150C$ assuming octane is an ideal gas.

b$)$ Calculate the fugacity of octane vapor at saturation at $150C$ assuming octane is described by

the virial equation of state truncated after the second virial coefficient.

c$)$ Calculate the fugacity of liquid octane at saturation at $150C$ assuming octane is described by

the virial equation of state truncated after the second virial coefficient. $($please solve it step by step and clear all the description without missing steps. Thank you:$))$