Chemical Engineering Thermodynamics
At equilibrium condition, the chemical potential of a material in different phases in contact with each other is equal. The chemical potential for a real gas (μ) is given by(where, μ = standard chemical potential at unit fugacity (f° = 1 atm.) and the gas behaves ideally.)

μ° + RT ln f
μ°+ R lnf
μ° + R/T lnf
μ° + T lnf

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

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

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