A solid at an initial temperature of (T_{0}) is exposed to colder surroundings at (T_{mathrm{a}}) and is

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A solid at an initial temperature of \(T_{0}\) is exposed to colder surroundings at \(T_{\mathrm{a}}\) and is cooling down by radiation heat loss. Develop a model based on the lumping approximation for the temperature of a solid as a function of time.

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