Argon, the third most abundant component in air (~1 %), is produced from a compl

Question

Argon, the third most abundant component in air (~1 %), is produced from a complex process of compression, cooling, and distillation. Assuming the following separation process starting with 1000 moles of air,

1000 mol Air (780 mol N2 + 210 mol O2 + 10 mol Ar) --> A + B + C

A: 778.5 mol N2 +0.7 mol O2

B: 209.0 mole O2 + 1.0 mol N2

C: 10 mol Ar + 0.5 mol N2 + 0.3 mol O2

a.) Define a cyclic process that will enable you to calculate delta S and delta G for the separation process.

b.) Calculate delta S for the process. What assumption do you need to make to get delta G?

Explanation / Answer

S and G are state functions and their delta well be zero for a cyclic process

For ideal gas mixture

This is the entropy of mixing of these gases at ideal gas conditions the entropy of separation is equal in magnitude and reverse in sign so

At ideal gas conditions (the heat of mixing and separating of gases is zero) Gibbs low well be

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