The pressure P, Volume V and temperature T of a gas in the jar A and the other gas in the jar B at pressure `2P`, volume `V//4` and temperature `2 T`, 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

Ideal gas equation `PV = mu RT = ((N)/(N_(A))) RT` where `N`
= Number of molecules , `N_(A)` = Avogadro number
`:. (N_1)/(N_2) = ((P_1)/(P_2)) ((V_1)/(V_2))((T_2)/(T_1)) = ((P)/(2P))((V)/(V//4))((2T)/(T))= 4/1`.