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Question

# The effect of temperature on the solubility of a gas in a liquid is governed by ________.

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Solution

## Henry’s law:Henry’s law is known as a gas law which denotes that the amount of gas that is dissolved in a liquid is directly proportional to the partial pressure of that gas above the liquid when the temperature is kept constant, which can be given as: $\mathrm{P}\propto \mathrm{C}\left(\mathrm{or}\right)\mathrm{P}={\mathrm{k}}_{\mathrm{H}}.\mathrm{C}$Where $\mathrm{P}$ = partial pressure of the gas in the atmosphere above the liquid.$\mathrm{C}$= Concentration of the dissolved gas.${\mathrm{k}}_{\mathrm{H}}$= Henry’s law constant of the gas.Effect of temperature on solubility:The temperature is inversely proportional to the solubility of the gas in a liquid, hence for all gases, as the temperature increases, solubility decreases accordingly.The increase in kinetic energy of molecules of gas results in more motion of molecules, which breaks the intermolecular bond between liquid molecules and gas molecules and results in a decrease in solubility.Also, the solubility of the gas in a liquid can also be explained on the basis of Henry’s law.The solubility of the gas in a liquid can be related to the partial pressure of the gas in the liquid phase, which is directly proportional to Henry’s constant i.e ${\mathrm{k}}_{\mathrm{H}}$.Here, Henry’s constant i.e ${\mathrm{k}}_{\mathrm{H}}$ is known to be inversely related to temperature.Hence, with the increases in temperature the value of Henry’s constant, and it in turn tends to decrease the solubility of the gas in a liquid.Hence, the effect of temperature on the solubility of a gas in a liquid is governed by Henry’s law.

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