JEE Main2006PhysicsKinetic Theory of GasesActual
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 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, T_f , i
Options
- AT _ f = 5 2 ~T ₀
- BT _ f = 3 7 ~T ₀
- CT _ f = 7 3 ~T ₀
- DT_f= 3 2 T₀
Correct answer
D. T_f= 3 2 T₀
Step-by-step solution
U =0 3 2 R ( T _ f - T ₀ )+1 5 2 R ( T _ f - 7 3 ~T ₀ )=0 ~T _ f = 3 2 ~T ₀