Two identical adiabatic containers of negligible heat capacity are connected by conducting rod of length L and cross sectional area A. Thermal conductivity of the rod is k and its curved cylindrical surface is well insulated from the surrounding. Heat capacity of the rod is also negligible. One container is filled with n moles of helium at temperature `T_(1)` and the other one is filled with equal number of moles of hydrogen at temperature `T_(2) (lt T_(1))`. Calculate the time after which the temperature difference between two gases will becomes half the initial difference.

Answer

`(15nRL)/(16kA)ln2`