Derive the analogues of the Gibbs-Duhem equations (Eqs. 8.2-8 and 8.2-9) for the constraints of a.Constant temperature

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Derive the analogues of the Gibbs-Duhem equations (Eqs. 8.2-8 and 8.2-9) for the constraints of

-N  P,Ni C v (OP)  dP+  N; d0; = 0 T,Ni i=1 dT - N N 20 ( )  - () dT T P,Ni T,Ni C dP+Ex; d0; = 0 i=1

C Nidir p = 0 i=1 C ;di; p = 0 = i=1 (8.2-9a) (8.2-9b)

a.Constant temperature and volume 

b. Constant internal energy and volume 

c. Constant entropy and volume

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