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` isA. `T_(f) = (3)/(7)T_(0)`B. `T_(f) = (7)/(3)T_(0)`C. `T_(f) = (3)/(2)T_(0)`D. `T_(f) =(5)/(2)T_(0)`

Two rigid boxes containing different ideal gases are placed on a table

1.	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` isA. `T_(f) = (3)/(7)T_(0)`B. `T_(f) = (7)/(3)T_(0)`C. `T_(f) = (3)/(2)T_(0)`D. `T_(f) =(5)/(2)T_(0)`
Answer» Correct Answer - C Equarting internal energy. `1 xx (5)/(2) RT_(0) +1 xx (3)/(2) R ((7)/(3)T_(0)) = 1 xx(3)/(2)RT_(f)+(5)/(2)RT_(f)` `rArr T_(f) = (3)/(2)T_(0)`

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