A mixture of 2 moles propane (1), 3 moles butane (2), and 5 moles pentane (3) is contained at 30 bar and 200°C. The van der Waals constants for these species are:

Determine the fugacity and fugacity coeffi cient of propane using the following approximations:
(a) the Lewis fugacity rule
(b) the virial form of the van der Waals equation truncated to the second term

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Species Propane Butane Pentane a [Jmmol-2] 0.94 1.45 1.91 b[m/mol] 9.06 X 10-5 1.22 10-4 1.45 10-4