State Henry's law and mention some important applications.

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(N/A) The effect of pressure on the solubility of a gas in a liquid is governed by Henry's Law. It states that the solubility of a gas in a liquid at a given temperature is directly proportional to the partial pressure of the gas present above the surface of the solution or solvent. Mathematically,$P = K_H X$,where $P$ is the partial pressure of the gas,$X$ is the mole fraction of the gas in the solution,and $K_H$ is Henry's Law constant.
Applications of Henry's law:
$(i)$ In the production of carbonated beverages,$CO_2$ is dissolved under high pressure to increase its solubility.
$(ii)$ In deep-sea diving,tanks are filled with air diluted with helium to avoid the toxic effects of high concentrations of nitrogen at high pressures.
$(iii)$ For climbers or people living at high altitudes,the low partial pressure of $O_2$ leads to low concentrations of $O_2$ in the blood and tissues,causing a condition known as anoxia.

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At $298 \ K$,Henry's law constant for $CO_2$ in water is $1.67 \times 10^8 \ Pa$. At $298 \ K$,the quantity of $CO_2$ in $1000 \ mL$ of soda water when packed at $1.67 \times 10^2 \ kPa$ $CO_2$ pressure in $mol \ L^{-1}$ is: (water density $= 1.0 \ g \ cm^{-3}$)

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How many millimoles of $CO_2$ gas will dissolve when $CO_2$ gas is passed in $900 \ mL$ water at $298 \ K$ temperature? $[$ The value of $K_H$ is $6.02 \times 10^{-4} \ bar$ and partial pressure of $CO_2$ gas is $2 \times 10^{-8} \ bar.]$

Choose the correct statement.

$H_2S$,a toxic gas with rotten egg like smell,is used for the qualitative analysis. If the solubility of $H_2S$ in water at $STP$ is $0.195 \, m$,calculate Henry's law constant.

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