Consider a mixture of nitrogen(1) + n-butane(2) for each of the options: (i) 395K and 2 MPa; (ii) 460 K and 3.4 MPa; (iii) 360 K and 1 MPa.

(a) Calculate the fugacity coefficients for each of the components in the mixture using the virial coefficient correlation. Make a table for your results at y₁ = 0.0, 0.2, 0.4, 0.6, 0.8, 1.0. Plot the results on a graph. On the same graph, plot the curves that would be used for the mixture fugacity coefficients if an ideal mixture model were assumed. Label the curves.

(b) Calculate the fugacity of each component in the mixture as predicted by the virial equation, an ideal-mixture model, and the ideal-gas model. Prepare a table for each component, and list the three predicted fugacities in three columns for easy comparison. Calculate the values at y₁ = 0.0, 0.2, 0.4, 0.6, 0.8, 1.0.