1. The Gibbs function for a certain liquid is given by G(P,T) = AP + BP² + CT In ( + D In + ET In where Po, To, A, B, C, D, and E are constants. (a) For this liquid, derive: (i) an expression for Cp –...

Thermodynamics College Question

Extracted text: 1. The Gibbs function for a certain liquid is given by G(P,T) = AP + BP² + CT In ( + D In + ET In where Po, To, A, B, C, D, and E are constants. (a) For this liquid, derive: (i) an expression for Cp – Cy. (ii) an expression for Cp. (b) Suppose that for a given mass of this liquid the constants have the values Po = 0.1 MPa, T, = 300 K , A= 8.57 x 10-3 m³ , B = -2.52 × 10-9 m³ Pa-1 , C = 192 J K-1 , D = -3.32 x 10ª J, and E = -2.97 × 10³ J K-1. The liquid is initially at a volume of 0.40 m³ and a pressure of 0.15 MPa. It expands to a volume of 0.56 m3 and a pressure of 0.12 MPa. (iii) Calculate the change in entropy of the liquid due to the expansion. (iv) Calculate Cp and Cy in the final state.