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Containers A and B have same gas. Pressu...

Containers A and B have same gas. Pressure, volume and temperature of A are all twice that of B. Then the ratio of the number of molecules of A and B are

A

`1:2`

B

`2:1`

C

`1:4`

D

`4:1`

Text Solution

Verified by Experts

For `B,P_(1)=P,V_(1)=V,T_(1)=T`
For `A,P_(2)=2P,V_(2)=2V,T_(2)=2T`
Applying ideal gas equation `PV=nRT`
`(P_(1)V_(1))/(n_(1)RT_(1))=(P_(2)V_(2))/(n_(2)RT_(2))` or `(PV)/(n_(1)RT)=(2Pxx2V)/(n_(2)R(2T))` or `(n_(2))/(n_(1))=2/1`
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