A partially filled glass of water is left sitting on the table overnight. The glass $5$inches tall by $2\mathrm{.}5$ in in diameter and the water is initially $0\mathrm{.}5$ inches deep. if the water is at room temperature $(70$F$)$

Determine the time needed to completely evaporate the water. You can assume the relative humidity in the room air remains constant at $20\%.$ The diffusivity of water in air can be taken as D$\_$WA $=2\mathrm{.}5$e$-5$ m$^2/$s and the vapor pressure of water at room temperature is $2340$ Pa$.$and atmospheric pressure is $101$Ka$.$