Solubility

The air is a mixture of a number of gases. The major components are oxygen and nitrogen with approximate proportion of $20\%$is to $79\%$ by volume $298 \mathrm{K}$. The water is in equilibrium with air at a pressure of $10 \mathrm{atm}$. At $298 \mathrm{K}$, if the Henry’s law constants for oxygen and nitrogen at$298 \mathrm{K}$ are $3.30\times {10}^7 \mathrm{mm}$ and $6.51 \times {10}^7 \mathrm{mm}$ respectively, calculate the composition of these gases in water.

Henry's law constant for the molality of methane in benzene at $298 \mathrm{K}$is $4.27\times {10}^5 \mathrm{mm} \mathrm{Hg}$. Calculate the solubility of methane in benzene at $298 \mathrm{K}$ under $760 \mathrm{mm} \mathrm{Hg}$.

The partial pressure of ethane over a solution containing $6.56 \times {10}^{-2} \mathrm{g}$ of ethane is $1$ bar. If the solution contains $5.00\times {10}^{-2} \mathrm{g}$ of ethane, then what shall be the partial pressure of the gas?

State Henry's law and mention some important applications.

Why do gases always tend to be less soluble in liquids as the temperature is raised?

Henry's law constant for ${\mathrm{CO}}_2$ in water is $1.67\times {10}^8 \mathrm{Pa} \mathrm{at} 298 \mathrm{K}$. Calculate the quantity of ${\mathrm{CO}}_2$ in $500 \mathrm{mL}$ of soda water when packed under $2.5 \mathrm{atm}$ pressure of ${\mathrm{CO}}_2$ at $298 \mathrm{K}$.

${\mathrm{H}}_2\mathrm{S}$, a toxic gas with a rotten egg-like smell is used for the qualitative analysis. If the solubility of ${\mathrm{H}}_2\mathrm{S}$ in water at $\mathrm{STP}$ is $0.195 \mathrm{m}$, Calculate Henry's law constant.