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One mole of an ideal gas undergoes an adiabatic free expansion from V = 12.3 L and T = 300 K to V2 = 24.6 L
and T2 = 300K. It is then compressed isothermally and quasi-statically (reversibly) 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 TAS.

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This is not a graded question so please don't disregard it as if it is. Thank you in advance professor!