Home
Class 11
PHYSICS
Two identical containers A and B with fr...

Two identical containers A and B with frictionless pistons contain the same ideal gas at the same temperature and the same velocity V. The mass of the gas in A is `m_A,` and that in B is `m_B`. The gas in each cylinder is now allowed to expand isothermally to the same final volume 2V. The changes in the pressure in A and B are found to be `DeltaP and 1.5 DeltaP` respectively. Then

A

`4m_(A)=9m_(B)`

B

`2m_(A)=3m_(B)`

C

`3m_(A)=2m_(B)`

D

`9m_(A)=4m_(B)`

Text Solution

Verified by Experts

For gas in `A`, `P_(1)=((RT)/(M))(m_(A))/(V_(1))`
`P_(2)=((RT)/(M))(m_(A))/(V_(2))`
`:. DeltaP=P_(1)-P_(2)=((RT)/(M))m_(A)((1)/(V_(1))-(1)/(V_(2)))`
Putting `V_(1)=V` and `V_(2)=2V`, we get `DeltaP=(RT)/(M)(m_(A))/(2V)`………`(1)`
Similarly, for Gas in `B`, `1.5DeltaP=((RT)/(M))(m_(B))/(2V)`......`(2)`
From Eqs. `(1)` and `(2)`, we get `2m_(B)=3m_(A)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Two identical containers A and B having same volume of ideal gas at the same temperature have mass of the gas as m_(A) and m_(B) respectively. 2 m_(A) = 3 m_(B) . The gas in each cylinder expand isothermally to double its volume. If the change in pressure in A is Delta p , find the change in pressure in B :

Two identical containers A and B having same volume of an ideal gas at same temperature have mass of the gas as m_(1) and m_(2) respectively and 2m_(1) = 3m_(2) . The gas in each cylinder expands isomthermally to double of its volume. If change in pressure in A is 300 Pa , then the change in pressure in B is

Consider two containers A and B containing identical gases at the same pressure, volume and temperature. The gas in container A is compressed to half of its original volume isothermally while the gas is container B is compressed to half of its original vlue adiabatically. The ratio of final pressure of gas of B to that of gas in A is

Consider two containers A and B containing identical gases at the same pressure, volume and temperature. The gas in container A is compressed to half of its original volume isothermally while the gas in container B is compressed to half of its original value adiabatically. The ratio of final pressure of gas in B to that of gas in A is

Two cylinders A and B fitted with pistons contain equal amounts of an ideal diatomic gas at 300K. The piston of A is free to move, while that B is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in A is 30K, then the rise in temperature of the gas in B is

Two cylinders A and B fitted with pistons contain equal amounts of an ideal diatomic gas at 300K. The piston of A is free to move, while that B is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in A is 30K, then the rise in temperature of the gas in B is

The density of a gas A is twice that of a gas B at the same temperature. The molecular mass of gas B is thrice that of A . The ratio of the pressure acting on A and B will be

An ideal gas of volume V and pressure P expands isothermally to volume 16 V and then compressed adiabatically to volume V . The final pressure of gas is [ gamma = 1.5]

Two gases A and B having the same temperature T, same pressure P and same volume V are mixed. If the mixture is at the same temperature and occupies a volume V. The pressure of the mixture is

2 moles of the same gas are enclosed in two containers A and B at 27^(@)C and at pressure 2 and 3 atms respectively. The rms velocity .