Complex Physics Question based on Thermodynamics 1. The Gibbs function for a certain liquid is given byG(P,T) = AP + BP² + CT In (+ D In+ ET Inwhere 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 of0.40 m³ and a pressure of 0.15 MPa. It expands to a volume of 0.56 m3 and a pressureof 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.

The Gibbs function is given as, GP,T=AP+BP2+CTlogePP∘+DlogeTT∘+ETlogeTT∘ where A, B, C, D, E, T∘,and…

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, To = 300 K , A = 8.57 x 10-3 m³ , B = -2.52 x 10-9 m³ Pa-1 , C = 192 J K-1 , D = -3.32 x 10* J, and E = –2.97 x 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.

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, To = 300 K , A = 8.57 x 10-3 m³ , B = -2.52 x 10-9 m³ Pa-1 , C = 192 J K-1 , D = -3.32 x 10* J, and E = –2.97 x 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.