$(6)$ For practice, from an old midterm:

A real gas A satisfies the virial equation of state: $\frac{p}{b}ar(V)=RT(1+\frac{B_2^{(A)}}{b}ar(V{)}^{-1})\frac{,}{b}ar(V)$ is the molar

volume of the gas, and $B_2^{(A)}=-978c\frac{m^3}{m}ol$ is its second virial coefficient at $300K.$ With this

information, determine the fugacity and activity of the real gas A pure when $0\mathrm{.}33$ moles are

introduced in a $1\mathrm{.}5$ litre container at $300K.$