Calculate the fugacity coefficients and hat$({)}_2$ and the fugacities hat$(f{)}_1$ and hat$(f{)}_2$ of methyl

chloride $(1)$ and ethyl chloride $(2)$ in a mixture having $0\mathrm{.}45$ mole fraction of methyl

chloride at $298\mathrm{.}15K$ and $1$ bar.

a$)$ Using the Virial equation of state for a mixture

b$)$ Assuming ideal solution

$B11=-374\mathrm{.}378c\frac{m^3}{m}ol$;$B22=-682\mathrm{.}032c\frac{m^3}{m}ol$;$B12=-506\mathrm{.}66c\frac{m^3}{m}ol$