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 (7/3) `T_(0)`. 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)`, in terms of `T_(0)` is

Options

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

Answer

D

Explanation

`DeltaU=0rArr5/2R(T_(f)-T_(0))+1xx3/2R(T_(f)-7/3T_(0))=0`