One mole of an ideal gas first undergoes a free expansion from V 1 = 12.3 L

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One mole of an ideal gas first undergoes a free expansion from V1 = 12.3 L and T1 = 300 K to V2 = 24.6 L and T2 = 300 K. It is then compressed isothermally and quasi-statically back to its original state.

(a) What is the entropy change of the universe for the complete cycle?

(b) How much work is wasted in this cycle?

(c) Show that the work wasted is T ∆Su.

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