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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Maximum entropy and thermal equilibrium

**Physics Forums | Science Articles, Homework Help, Discussion**