3) An object of mass m1, specific heat c, and temperature T1 is placed in contact with a second object of mass m2, specific heat c2 and temperature T2>T1. As a result, the temperature of the first object increases to T and the temperature of the second object decreases to T'.(adsbygoogle = window.adsbygoogle || []).push({});

a) Show that the entropy increase of the system is

deltaS = m1c1 ln(T/T1) + m2c2ln (T'/T2)

b) Show that energy conservation requires that

m1c1(T-T1) = m2c2 (T2-T')

c)Show that the entropy change in S, considered as a function of T, is a maximum if T' = T, which is just the condition of thermodynamic equilibrium.

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# Homework Help: Maximum entropy and thermal equilibrium

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