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Gases in Liquids

Calculate the...

Question

Calculate the concentration of $C O_{2}$ in a soft drink that is bottled with a partial pressure of $4 a t m$ over the liquid at $25^{\circ} C$ . The Henry's law constant for $C O_{2}$ in water at $25^{\circ} C$ is $3.1 \times 10^{- 2} a t m / m o l e - l i t r e$ .

0.129 m o l / l i t r e

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129.03 m o l / l i t r e

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0.224 m o l / l i t r e

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224.3 m o l / l i t r e

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Solution

The correct option is B $129.03 m o l / l i t r e$
According to Henry's law, $P = K S$

$S$ is the solubility in $m o l e s L^{- 1}$
$K$ is Henry's law constant
$P$ is the pressure in atm

Substitute values in the above expression :

$S = \frac{P}{K}$

$= \frac{4}{3.1 \times 10^{-} 2}$

$= 129.03 m o l e s L^{- 1}$

Hence, option $B$ is correct.

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