A potato at initial temperature `T_(0)` is placed inside a hot convection oven maintained at a constant temperature `T_(1)(gt T-(0))`. Assume that the potato receives heat only because of convection phenomenon and the rate at which it receives heat is given as hA `(T_(1) – T)` where h is a constant, A is surface area of the potato and T is instantaneous temperature of the potato. Mass and specific heat capacity of the potato are m and s respectively. In how much time the potato will be at a temperature `T_(2)=(T_(0)+T_(1))/(2)` ? Assume no change in volume of the potato.

Answer

`t=(ms)/(hA)ln2`