Home
Class 11
PHYSICS
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 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

A

`T_(f) = (7)/(3) T_0`

B

`T_(f) = (3)/(2) T_0`

C

`T_(f) = (5)/(2) T_0`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Heat lost by `H_e` = Heat gained by `N_(2)`
`n_1 C_(v_1) Delta T_1 = n_2 C_(v_2) Delta T_2`
`rArr 1 xx (3)/(2) R xx (7/3 T_0 - T_f) = (5)/(2) R (T_f - T_0)`
`rArr T T_0 - 3T_f = 5T_f - 5T_0`
`T_f = (3)/(2) T_0`.
Promotional Banner

Similar Questions

Explore conceptually related problems

A closed box contains an ideal gas if temperature of gas increased which

One mole of an ideal monoatomic gas at temperature T_0 expands slowly according to the law p/V = constant. If the final temperature is 2T_0 , heat supplied to the gas is

A container of fixed volume has a mixture of a one mole of hydrogen and one mole of helium in equilibrium at temperature T. Assuming the gasses are ideal, the correct statement (s) is (are)

One mole of an ideal monoatomic gas at temperature T_(0) expands slowely according to the law P/V=constant. If the final temperature is 2T_(0) heat supplied to the gas is -

A rigid container of negligible heat capacity contains one mole of an ideal gas. The temperatures of the gas increases by 1^@C if 3.0 cal of heat is added to it. The gas may be

When two non reactive samples at different temperatures are mixed in an isolated container of negligible heat capacity the final temperature of the mixture can be: