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Q. 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

Solutions

Solution:

By Henry’s law at 273 K,
$\chi_{co_2}$ (mole fraction of $CO_{2})$ $=\frac{P}{K_{H}}=\frac{0.30}{600}$
By Henry’s law at $333\, K$,
$\chi_{co_2}=-\frac{P}{K_{H}}=\frac{P_{2}}{3400}$
$\therefore \frac{p_{2}}{3400}=\frac{0.30}{600}$
$P_{2}=\frac{0.30\times3400}{600}=1.7\, atm$