A capillary, closed at the bottom and open at the top has a length of $10cm$ and a diameter of $1mm.$ The bottom $9cm$ are filled with water $($density $1000k\frac{g}{m^3},$ molar mass $18\frac{g}{m}ol).$ Due to heating, the water vapor concentration at the water surface is $2mo\frac{l}{m^3}.$ The water vapor concentration at the top of the capillary is $1mo\frac{l}{m^3}.$ The evaporation is driven by the diffusion of water vapor out of the capillary, which causes the water surface to go down. Assume a diffusivity of $2{10}^{-5}\frac{m^2}{s}.$

calculate the the time in days it takes for water to evaporate completely out of capillary