Conductor Between Gases!

Two containers A and B are connected by a conducting solid cylindrical rod of length \( \frac {242} {7} \) cm and radius \( \sqrt (8.3) \) cm. Thermal conductivity of the rod is 693 watt/mole-K. The container A contains two moles of oxygen gas and the container B contains four moles of helium gas. At time t = 0 temperature difference of the containers is 50ºC, after what time (in seconds) temperature difference between them will be 25ºC. Transfer of heat takes place through the rod only. Neglect radiation loss. Take R = 8.3 J/mole-K and pi = \( \frac {22}{7} \).

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