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.
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.
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Transcribed Image 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.
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