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(A) Henry's law states that the partial pressure of a gas in vapor phase $(p)$ is proportional to the mole fraction of the gas in the solution $(x)$,g

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$I$ and $III$

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(A) Henry's law states that the partial pressure of a gas in vapor phase $(p)$ is proportional to the mole fraction of the gas in the solution $(x)$,given by $p = K_H x$.$1$. The value of Henry's constant $(K_H)$ depends on the nature of the gas and the solvent,making it a characteristic constant for a specific gas-solvent system at a given temperature. Thus,statement $III$ is correct.$2$. The solubility of gases in liquids decreases with an increase in temperature. Since $p = K_H x$,for a constant pressure $p$,if $x$ (solubility) decreases,$K_H$ must increase. Therefore,$K_H$ increases with an increase in temperature. Thus,statement $I$ is correct and statement $II$ is incorrect.Hence,the correct statements are $I$ and $III$.

Choose the correct statement about Henry's constant $(K_H)$.
$I$. $K_H$ increases with increase in temperature generally.
$II$. $K_H$ decreases with increase in temperature generally.
$III$. $K_H$ is the characteristic constant of the gas-solvent system.

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Choose the correct statement about Henry's constant $(K_H)$.$I$. $K_H$ increases with increase in temperature generally.$II$. $K_H$ decreases with increase in temperature generally.$III$. $K_H$ is the characteristic constant of the gas-solvent system.