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A cylindrical rod of length L insulated on its lateral surface is initially in contact at one end with a wall at temperature 700

A cylindrical rod of length L insulated on its lateral surface is initially in contact at one end with a wall at temperature 700 K and 300 K at the other end with a wall. The temperature within the rod initially varies linearly with position x according to T(x)=700-- 400x L The rod is insulated on its ends and eventually comes to a final equilibrium state where the temperature is Tf. The temperature Te is K

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