The relation between the solubility of a gas in a liquid at a constant temperature and external pressure is stated by which law?

Identify the reason for the solubility of polar solute in polar solvent from the following.

Air is a mixture of a number of gases. The major components are oxygen and nitrogen with approximate proportions of $20\%$ and $79\%$ by volume at $298\ K$. The water is in equilibrium with air at a pressure of $10\ atm$. At $298\ K$,if the Henry's law constants for oxygen and nitrogen are $3.30 \times 10^7\ mm$ and $6.51 \times 10^7\ mm$,respectively,the mole ratio of gases $(O_2 : N_2)$ dissolved in water is about

The partial pressure of ethane over a solution containing $7.14 \times 10^{-3} \ g$ of ethane is $1 \ bar$. If the solution contains $5 \times 10^{-2} \ g$ of ethane,then what shall be the partial pressure of the gas (in $bar$)? (At equal temperature)

Calculate the solubility of a gas in water at $260 \ mm \ Hg$ and $25^{\circ} C$ if Henry's law constant of the gas is $0.159 \ mol \ dm^{-3} \ atm^{-1}$ at $25^{\circ} C$.

What is the solubility of oxygen gas in $100 \, cm^3$ of water at $293 \, K$ (in $, cm^3$)?