The solubility of a gas in a liquid generally increases with :-

At $293 \ K$,methane gas was passed into $1 \ L$ of water. The partial pressure of methane is $1 \ bar$. The number of moles of methane dissolved in $1 \ L$ water is ($K_{H}$ of methane $= 0.4 \ kbar$)

Tincture of iodine is

Calculate the solubility of a gas in a solvent at $25^{\circ} C$ and $0.8 \ atm$ if Henry's law constant for the solvent is $6.8 \times 10^{-4} \ mol \ dm^{-3} \ atm^{-1}$.

If the $K_{H}$ values for $Ar_{(g)}$,$CO_{2_{(g)}}$,$HCHO_{(g)}$ and $CH_{4_{(g)}}$ respectively are $40.39$,$1.67$,$1.83 \times 10^{-5}$ and $0.413$,then identify the correct increasing order of their solubilities.

Given below are two statements:
Statement $I$: The Henry's law constant $K_{H}$ is constant with respect to variations in solution's concentration over the range for which the solution is ideally dilute.
Statement $II$: $K_{H}$ does not differ for the same solute in different solvents.
In the light of the above statements,choose the correct answer from the options.