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The volume of vessel A is twice the volu...

The volume of vessel A is twice the volume of another vessel B and both of them are filled with the same gas. If the gas in A is at twice the temperature and twice the pressure in comparison to the gas in B, what is the ratio of number of gas molecule in A and B ?

A

`1/2`

B

`2/1`

C

`3/2`

D

`2/3`

Text Solution

Verified by Experts

The correct Answer is:
B
PV = nRT
`thereforen_(B)=(PV)/(RT)and n_(A)=(2Pxx2V)/(Rxx2T)`
or `n_(A)=(2PV)/(RT)`
`therefore (n_(A))/(n_(B))=2/1`
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