Question 10.8: Determine the fugacity coefficients as given by Eqs. (10.63)...

Determine the fugacity coefficients as given by Eqs. (10.63) for nitrogen and methane in a N_2 (1)/CH_4 (2) mixture at 200 K and 30 bar if the mixture contains 40 mol-% N_2. Experimental virial-coefficient data are as follows:

\ln \hat{\phi}_1=\frac{P}{R T}\left(B_{11}+y_2^2 \delta_{12}\right)         (10.63a)

\ln \hat{\phi}_2=\frac{P}{R T}\left(B_{22}+y_1^2 \delta_{12}\right)         (10.63b)

B_{11 }= − 35.2     B_{22 }= − 105.0         B{12 }= − 59.8  cm^3 mol^{−1}