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A solid body A of mass m and specific he...

A solid body A of mass m and specific heat capacity ‘s’ has temperature `T_(1) = 400 K`. It is placed, at time `t = 0`, in atmosphere having temperature `T_(0) = 300 K`. It cools, following Newton’s law of cooling and its temperature was found to be `T_(2) = 350 K `at time `t_(0)`. At time `t_(0)`, the body A is connected to a large water bath maintained at atmospheric temperature `T_(0)`, using a conducting rod of length L, cross section A and thermal conductivity k. The cross sectional area A of the connecting rod is small compared to the overall surface area of body A. Find the temperature of A at time `t = 2t_(0)`.

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The correct Answer is:
`T=300+50e^(-[(In2)/(t_(0))+(kA)/(msL)]t_(0)`
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