(a) Show that if the refrigerator statement of the second law of thermodynamics were not true, the...

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(a) Show that if the refrigerator statement of the second law of thermodynamics were not true, the entropy of the universe could decrease.

(b) Show that if the heat-engine statement of the second law were not true, the entropy of the universe could decrease.

(c) An alternative statement of the second law is that the entropy of the universe cannot decrease. Have you just proved that this statement is equivalent to the refrigerator and heat-engine statements?

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