Calculate the pressure of gas if the solubility of gas in water at $25^{\circ} \mathrm{C}$ is $6.85 \times…

Calculate the pressure of gas if the solubility of gas in water at $25^{\circ} \mathrm{C}$ is $6.85 \times 10^4 \mathrm{~mol} \mathrm{dm}^{-3}$ (Henry's law constant is $6.85 \times 10^4 \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{bar}^{-1}$ )
  1. 0.853 bar
  2. $1.5 \mathrm{bar}$
  3. 0.5 bar
  4. 1 bar

Solution

We know $\mathrm{S}=\mathrm{K}_{\mathrm{H}} \mathrm{P}$ In $1 \mathrm{dm}^3$ or 1 lit moles of gas dissolved is $6.85 \times 10^4$ $\therefore \mathrm{p}=6.85 \times 10^4 / 6.85 \times 10^4=1.0$ bar.

Asked in: MHT CET 2022 (05 Aug Shift 1)

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