Please help with the following problem. thank you!

Problem 5. The residual Gibbs energy associated with the EOS can be written in various equivalent forms. Derive the following expressions, one of which expresses the excess Gibbs energy in terms of the temperature and the molar volume only, i.e. G*/RT = S(1,1) (10) 2 b V + b en = + In V + b V-b V + b V + b-a V - b b a a V-b en = In 1 2 2 V-5 V + b V + b V + b R PV a -=lno = -1 - -In RT RT V +5 RT Hint: Establish this relationship using the expression for the fugacity coefficient integrating along an isotherm: dP eng = S(2-1) RT P bo 0 d Hints: First prove that, along an isotherm dP dV + V os Then show that eno = (2-1) $(z=1 Z- dV + z-1- inz V