Question

Which of the following relation is correct? *
escorts
O A dU=TdS-pdV
O B dh=TdS+Vdp
O c dG=Vdp-SDT
O D all of the mentioned​

Answer 1

Answer:

Gibbs equation is

du = Tds - Pdv

The enthalpy h can be differentiated,

dh = du + pdv + vdP

Combining the two results in

�

dh = Tds + vdP

The coefficients T and v are partial derivative of h(s,P),

�

Since v > 0, an isentropic increase in pressure will result in an increase in enthalpy.

We introduce Helmholtz function

a = u � Ts

Combine Gibbs equation with the differential of a,

da = -Pdv � sdT

The coefficient �P and �s are the partial derivatives of f(v,T), so

Similarly, using the Gibbs function

g = h � Ts

dg = vdP � sdT

Consequently,

Explanation:

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