Problem D13:
Suppose that at low temperatures the heat capacity of a substance is
proportional to absolute temperature T: C = &alpha T, where &alpha is
a constant. Initially you have a mass m_{0} of this substance
at an absolute temperature of n_{1}T_{0}. You have
another mass m_{0} of the same substance at an absolute temperature
of n_{2}T_{0}. The two objects of equal mass
are placed in thermal contact with each other. They come to thermal
equalibrium at a temperature T =
√n_{3} T_{0}.
what is n_{3}? Note that n_{1}, n_{2}, and
n_{3} are unitless.

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