The fugacity of a species in a mixture can have a peculiar dependence on composition at fixed

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The fugacity of a species in a mixture can have a peculiar dependence on composition at fixed temperature and pressure, especially if there is a change of phase with composition. Show this by developing plots of the fugacity of isobutane and of carbon dioxide in their binary mixture as a function of isobutane composition using the Peng-Robinson equation of state for each of the following conditions. 

a. T = 377.6 K and P in the range from 20 to 80 bar 

b. T = 300 K and P in the range from 7 to 35 bar

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