Problem

Problem

Two chunks of metal with heat capacities C1C_1 and C2C_2 are interconnected by a rod of length ll and cross-sectional area AA and fairly low conductivity KK. The whole system is thermally insulated from the environment. At a moment t=0t = 0, the temperature difference between two chunks of metal equals (ΔT)0(\Delta T)_0. Assuming the heat capacity of the rod to be negligible, find the temperature difference between the chunks as a function of time.

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