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Following data has been given for ${CO}_{2}$ for the concentration in $H_{2} O$ .
Temperature Henry's constant Pressure
273 K 600 atm 0.30 atm
333 K 3400 atm $p_{2}$
If solution of ${CO}_{2}$ in $H_{2} O$ is heated from 273 to 333 K, pressure ( $p_{2}$ ) needed to keep ${CO}_{2}$ in the solution is

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0.468 atm

0.108 atm

1.7 atm

0.212 atm

answer is B.

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Detailed Solution

By Henry's law at 273 K,

$χ_{{CO}_{2}}$ (mole fraction of ${CO}_{2}$ ) $= \frac{p}{K_{H}} = \frac{0 .30}{600}$

By Henry's law at 333 K,

$χ_{{CO}_{2}} = \frac{p}{K_{H}} = \frac{p_{2}}{3400}$

$∴ \frac{p_{2}}{3400} = \frac{0.30}{600}$

$p_{2} = \frac{0.30 \times 3400}{600} = 1.7 atm$

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