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: A. 15 bar B. 18 bar C. 9 bar

Home » A mixture of and Ar gases in a cylinder contains of and of Ar. If the total pressure of the mixture of the gases in the cylinder is 27 bar, the partial pressure of is: A. 15 bar B. 18 bar C. 9 bar

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: A. 15 bar B. 18 bar C. 9 bar

Chemistry

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: A. 15 bar B. 18 bar C. 9 bar

Correct Option A)

Solutions:
Given, Mass of $N _{2}=7 g$
So, moles of $N _{2}=\frac{7}{28}=\frac{1}{4}$
Given, Mass of $Ar =8 g$
So. moles of $Ar =\frac{8}{40}=\frac{1}{5}$
As we know, mole fraction of $N _{2}=\frac{\text { moles of } N _{2}}{\text { total moles }}$
$\Rightarrow \quad p _{ N }= X _{ N } p _{\text {tot }}$
$=5 / 9 \times 27=15 bar$