A mixture of ${\mathrm{N}}_2$ and $\mathrm{Ar}$ gases in a cylinder contains $7\mathrm{g}$ of ${\mathrm{N}}_2$ and $8\mathrm{g}$ of $\mathrm{Ar}$. If the total pressure of the mixture of the gases in the cylinder is $27$ bar, the partial pressure of ${\mathrm{N}}_2$ is:
[Use atomic masses (in $\mathrm{g} {\mathrm{mol}}^{–1}$): $\mathrm{N}=14,\mathrm{Ar}=40$]