At a certain temperature the vapor pressure of pure methanol $(C{H}_{3}OH)$ is measured to be $0\mathrm{.}33$atm. Suppose a solution is prepared by mixing $53\mathrm{.}2g$ of

methanol and $123.g$ of water.

Calculate the partial pressure of methanol vapor above this solution. Be sure your answer has the correct number of significant digits.

Note for advanced students: you may assume the solution is ideal.