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Two rigid boxes containing different ide...

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

A

`T_f =(5)/(2) T_0`

B

`T_f = (3)/(7) T_0`

C

`T_f =(7)/( 3) T_0`

D

`T_f =3/2 T_0`

Text Solution

Verified by Experts

The correct Answer is:
D
`Delta U =0implies 5/2 R(T_f -T_0) +1 xx 3/2 (T_f -(7)/(3) T_0) =0`
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