A solution was prepared by dissolving a certain amount of KOH $($formula mass $=56\mathrm{.}110$ g$/$mol$)$ in $10\mathrm{.}7271$ g of water. The vapor pressure at $40\mathrm{.}00\backslash$deg C of the solution and pure water at this temperature were $29\mathrm{.}60$ mmHg and $55\mathrm{.}30$ mmHg$,$ respectively. How many grams of KOH were dissolved? If the solute is ionic, assume that it is completely ionic!