Calculate the solubility of gas in water at $260 \mathrm{~mm} \mathrm{Hg}$ and $25^{\circ} \mathrm{C}$ if…

Calculate the solubility of gas in water at $260 \mathrm{~mm} \mathrm{Hg}$ and $25^{\circ} \mathrm{C}$ if Henry's law constant of gas is $0.159 \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{~atm}^{-1}$ at $25^{\circ} \mathrm{C}$
  1. $3.8 \times 10^{-2} \mathrm{~mol} \mathrm{dm}-3$
  2. $5.4 \times 10^{-2} \mathrm{~mol} \mathrm{dm}^{-3}$
  3. $2.7 \times 10^{-2} \mathrm{~mol} \mathrm{dm}^{-3}$
  4. $1.2 \times 10^{-2} \mathrm{~mol} \mathrm{dm}^{-3}$

Solution

$\begin{aligned} & S=p K \\ & =\frac{260}{760} \times 0.159 \\ & =5.4 \times 10^{-2} \frac{\mathrm{mol}}{\mathrm{dm}^3}\end{aligned}$

Asked in: MHT CET 2022 (11 Aug Shift 1)

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