Two identical adiabatic vessels A and B each contain n mole of a monoatomic and diatomic gas respectively. Both the vessels are connected by a rod of length 1 and cross-sectional area A. Thermal conductivity of rod material is k and lateral surface of the rod is insulated. At any time capacity of the rod and the vessels, find the time when the temperature difference of the vessels becomes half the initial temperature difference.

Two identical adiabatic vessels A and B each contain n mole of a monoa

1.	Two identical adiabatic vessels A and B each contain n mole of a monoatomic and diatomic gas respectively. Both the vessels are connected by a rod of length 1 and cross-sectional area A. Thermal conductivity of rod material is k and lateral surface of the rod is insulated. At any time capacity of the rod and the vessels, find the time when the temperature difference of the vessels becomes half the initial temperature difference.
Answer» Solution :`t=(15n RL)/(16 KA) In (2)`