Chemical Engineering Thermodynamics
The Maxwell relation derived from the differential expression for the Helmholtz free energy (dA) is

(∂V/∂S)P = (∂T/∂P)S
(∂S/∂P)T = -(∂V/∂T)P
(∂S/∂V)T = (∂P/∂T)V
(∂T/∂V)S = -(∂P/∂S)V

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Chemical Engineering Thermodynamics
In the reaction, H₂ +I₂ ⇋ 2HI, addition of an inert gas will

Increase the total pressure and hence shift the equilibrium towards the right
Increase the partial pressure of I₂
Increase the partial pressure of H₂
Not effect the equilibrium conditions

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