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Gases in Liquids

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Question

The following data has been given for solubility of $C O_{2}$ in $H_{2} O$

$\begin{matrix} Temperature & Henry's constant & Pressure 273 K & 600 a t m & 0.03 a t m 333 K & 3400 a t m & p_{2} \end{matrix}$

If solution of $C O_{2}$ in $H_{2} O$ is heated from $273$ to $333 K$ , pressure $(P_{2})$ need to keep $C O_{2}$ in the solution is

A

0.108 a t m

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B

0.17 a t m

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C

0.212 a t m

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D

0.468 a t m

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Solution

The correct option is B $0.17 a t m$
$By Heny's law at 273 K,$

$χCO2(molefractionofCO2)=pKH=0.030600$

By Henry's law at $333 K$ , $χ_{C O_{2}} = \frac{p}{K_{H}} = \frac{p_{2}}{3400}$

$∴ \frac{p_{2}}{3400} = \frac{0.03}{600}$

$p_{2} = \frac{0.030 \times 3400}{600} = 0.17 a t m$
Hence, (b) is correct.

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