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Statement of a problem № 638

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Two chunks of metal with heat capacities C1 and C2 are interconnected by a rod of length L and cross-sectional area S and fairly low heat conductivity x. The whole system is thermally insulated from the environment. At a moment t = 0 the temperature difference between the two chunks of metal equals (dT)0. Assuming the heat capacity of the rod to be negligible, find the temperature difference between the chunks as a function of time.

Solution:
Two chunks of metal with heat capacities C1 and C2 are interconnected by a rod o

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