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Prove that the entropy change is positive


Solve the following problem:

A body of constant heat capacity Cp and at a temperature Ti is put in contact with a reservoir at a higher temperature Tf. The pressure remains constant while the body comes to equilibrium with the reservoir. Show that the entropy change of the universe is equal to

ΔS = CP[x - In(1 + x)]

where x = -(Tf - Ti)/Tf. Prove that the entropy change is positive.

 

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Chemistry: Prove that the entropy change is positive
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