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Ideal Gas Equation from KTG

Two sealed co...

Question

Two sealed containers of the same capacity and at the same temperature are filled with 44 g of $H_{2}$ in one and 44 g of $C O_{2}$ in the other. If the pressure of carbon dioxide in the second container is 1 atm. That of hydrogen in the first container would be (in atm):

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Solution

$\frac{P_{1} V_{1}}{P_{2} V_{2}} = \frac{n_{1} R T_{1}}{n_{2} R T_{2}} = \frac{n_{1} T_{1}}{n_{2} T_{2}}$
As, $V_{1} = V_{2}$ and $T_{1} = T_{2} \frac{P_{1}}{P_{2}} = \frac{n_{1}}{n_{2}}$
or $\frac{P_{H_{2}}}{P_{c o_{2}}} = \frac{n_{H_{2}}}{n_{C O_{2}}}$ or $\frac{P_{H_{2}}}{1} = \frac{\frac{44}{2}}{\frac{44}{44}} = 22$ atm

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