(Solution) - A body initially at a temperature Ti cools by convection -(2025 Original AI-Free Solution)

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A body initially at a temperature Ti cools by convection and radiation in a room where the temperature is T0. The body obeys Newton's law of cooling, which can be written dQ/dt = hA(T ? T0 ),where A is the area of the body and h is a constant called the surface coefficient of heat transfer. Show that the temperature T at any time t is given by T = T0) + (Ti = T0)e?hat/mc where m is the mass of the body and c is its specific heat.