A vessel contains liquid methane and water in equilibrium with methane gas and water vapor at $45C.$ Analysis of the liquid phase determines the composition to be $99\mathrm{.}9\%$ water and $0\mathrm{.}1\%$ methane. Estimate the pressure $($in $mmHg)$ of the vessel and the mole fraction of methane and water in the vapor phase. Use the chart below to determine the Henry's law constant for methane. $($Answer: P$=1948$ mm Hg$)$