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), T_(1)=T`
For A, `P_(1) =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)`