Please assist in deriving the following expression.

Problem 5. The residual (ribbs energy associated with the EOS can be written in various equivalent forms. Derive the following expressions, one of which expresses the cicess Gibbs energy in terms of the temperature and the molar volume only, ic. GR/RT = f(T.n) (10) 6 av = Eno- V-b (V+by V + (v +6) (V+b) -a (V-b) (V-b) (V+) P(-5) 6 av Q Eno- V-b (V+b) VD GR PV =(n= -- -In RT R7 Vh lu 1- = RT Hiot: Establish this relationship using the expression for the fugacity coefficient integrating along an isutberin: G" dp := (n = 1 (2-1) RT P = {(z- D dy Hints: First prove that, aloog as isotherm - 2 P V Tieu show that to p = (--) +-1-07 V