Question: A small sphere, with initial temperature (T), is immersed in an ideal Boltzmannian gas at temperature (T_{0}). Assuming that the molecules incident on the sphere

A small sphere, with initial temperature $T$, is immersed in an ideal Boltzmannian gas at temperature $T_{0}$. Assuming that the molecules incident on the sphere are first absorbed and then reemitted with the temperature of the sphere, determine the variation of the temperature of the sphere with time.

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