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

Options

A. `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

C