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Dalton's Law of Partial Pressures

A gas occupie...

Question

A gas occupies a volume of $250 m L$ at $745 m m$ $H g$ and $25^{o} C$ . What additional pressure is required to reduce the gas volume to $200 m L$ at the same temperature?

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Solution

${P_{2} V}_{2} = {P_{1} V}_{1} ⟹ P_{2} \times 200 m l = 745 m m$ of Hg $\times 250 m l ⟹ P_{2} = 931.25 m m o f H g$
$∴ P_{2} - P_{1} = 186.25 m m$ of Hg additional pressure is required.

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