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  4. A mixture of one mole each of H 2, He and O 2 each are enclosed in a cylinder of volume V at temperature T. If the partial pressure of H 2 is 2 atm, the total pressure of the gases in the cylinder is :

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Q. A mixture of one mole each of $H _{2},$ He and $O _{2}$ each are enclosed in a cylinder of volume $V$ at temperature $T$. If the partial pressure of $H _{2}$ is 2 atm, the total pressure of the gases in the cylinder is :

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Solution:

According to Dalton's law of partial pressure

$p_{i}=x_{i} \times P_{T}$

$p _{ i }=$ partial pressure of the $i^{th}$ component

$x _{ i }=$ mole fraction of the $i^{th}$ component

$p _{ T }$ = total pressure of mixture

$\Rightarrow 2 atm =\left(\frac{ n _{ H _{2}}}{ n _{ H _{2}+} n _{ H _{e}}+ n _{ O _{2}}}\right) \times p _{ T }$

$\Rightarrow p _{ T }=2 atm \times \frac{3}{1}=6 \,atm$