Problem 2. A Nitrogen (1)Methane (2) gas mixture can be described by simplified virial equation of state, with the experimental virial-coefficient data as: \begin{array}{lll} \text { B }_{11}=-352 ; &

\text { B }_{n}=-105.0 ; & \text { B }_{12}=-59.8 ~ \mathrm{~cm}^{3} / \mathrm{mol} \end{array} For a 40:60 (molar fractions) nitrogen/methane mixture at 200 K and 30 bar,calculate: (a) Molar volume for pure nitrogen and pure methane at 200 K and 30 bar (b) Partial molar volume for nitrogen and methane in the 40:60 mixture(c) Molar volume of the mixture (40:60) (d) Residual molar Gibbs energy for the mixture (40:60) (e) Fugacity for nitrogen and methane in the mixture (40:60)