The pressure `P`, volume `V` and temperature `T` of a gas in the jqar `A` and other gas in the jar `B` as at pressure `2P`, volume `V//4` and temperature `2T`, then the ratio of the number of molecules in the jar `A` and `B` will be

Options

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

Answer

D

Explanation

`PV = n_(A)RT` (i)
`2P.(V)/(4) = n_(B)R.2T` (ii)
Number of moles `prop` number of molecules
`(n_(A))/(n_(B)) = (4)/(1)`