# Conductor Between Gases!

**Classical Mechanics**Level 4

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 = \( \frac {22}{7} \).