Two moles of `O_(2)(gamma=7/5)` at temperature `T_(0)` and 3 moles of `CO_(2)(gamma=4/3)` at temperature `2T_(0)` are allowed to mix together in a rigid closed adiabatic vessel. The resulting mixture finally comes in thermal equilibrium. Then,

Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature T_0 , while box B contains one mole of helium at temperature 7/3T_0 . The boxes are then put into thermal 3 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 in terms of T_0 is ____

Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature T_0 , while Box contains one mole of helium at temperature (7/3)T_0 . The boxes are then put into thermal contact with each other, and heat flows between them until the gasses reach a common final temperature (ignore the heat capacity of boxes). Then, the final temperature of the gasses, T_f in terms of T_0 is

Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature T_0 , while Box contains one mole of helium at temperature (7/3)T_0 . The boxes are then put into thermal contact with each other, and heat flows between them until the gasses reach a common final temperature (ignore the heat capacity of boxes). Then, the final temperature of the gasses, T_f in terms of T_0 is

Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature T_0 , while Box contains one mole of helium at temperature (7/3)T_0 . The boxes are then put into thermal contact with each other, and heat flows between them until the gasses reach a common final temperature (ignore the heat capacity of boxes). Then, the final temperature of the gasses, T_f in terms of T_0 is

Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature T_0 , while Box contains one mole of helium at temperature (7/3)T_0 . The boxes are then put into thermal contact with each other, and heat flows between them until the gasses reach a common final temperature (ignore the heat capacity of boxes). Then, the final temperature of the gasses, T_f in terms of T_0 is

The initial temperature of a two mole monoatomic gas is T. If temperature increases to 3T then work done in the adiabatic process is