A mixture of $N_2$ and $Ar$ gases in a cylinder contains $7\,g$ of $N_2$ and $8\,g$ of $Ar$. If the total pressure of the mixture of the gases in the cylinder is $27\, bar$, the partial pressure of $N_2$ is :
[Use atomic masses (in g $mol^{-1}$) :$N = 14,Ar = 40$]