Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature T0, while Box B contains one mole of helium at temperature (7/3)T0. The two boxes are then put into thermal contact with each other, and heat flows between them until

Question

Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature T0, while Box B contains one mole of helium at temperature (7/3)T0. The two boxes are then put into thermal contact with each other, and heat flows between them until the gases reach a common final temperature (ignore the heat capacity of boxes). Then, the final temperature of the gases, Tf, in terms of T0 is

Accepted Answer

Tf = 3/2 T0. The final temperature is determined by the principle of conservation of energy, where the heat lost by the hotter gas (helium) equals the heat gained by the cooler gas (nitrogen). Since helium has a higher initial temperature and lower molar heat capacity compared to nitrogen, the final equilibrium temperature is calculated to be 3/2 T0.

Solution

Related JEE Main Physics questions