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

Options

A. `1:2`
B. `2:1`
C. `1:4`
D. `4:1`

Answer

B

Explanation

For B,`P_(1)=P,V_(1)=V,T_(1)=T`.
For A, `P_(1)=2P,=2P,V_(2)=2P,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)`