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 m0 of this substance at an absolute temperature of n1T0. You have another mass m0 of the same substance at an absolute temperature of n2T0. The two objects of equal mass are placed in thermal contact with each other. They come to thermal equalibrium at a temperature T = √n3 T0. what is n3? Note that n1, n2, and n3 are unitless.

n1 = n2 = Input n3:

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Problem: