A vapor mixture of $N_2(1)$ and $C{H}_4(2)$ at $200K$ and $30$ bar contains $30$ mole $\%N_2.$ U

equation Q$5$c and the Redlich$/$Kwong equation of state to determine the fugacity coefficien

of nitrogen and methane in the mixture.

$ln{}_1=\frac{b_i}{b}(Z-1)-ln(Z-)-q_{i}I$

Critical constants for nitrogen and methane are given in Table Q$5$c

Table Q$5$c: Critical constants for nitrogen and methane