A capillary tube is $2$ cm long and has an inner diameter of $0\mathrm{.}1$ mm$.$ It

filled halfway with an aqueous solution. The filled end is sealed off, as

shown.

Outside the the tube, the air is still and is at $10\%$ relative humidity

pwater $/$pwater$,$sat $=0\mathrm{.}1.$

a$)$ Estimate the rate mass loss from the capillary, in kg$/$s$.$ b$)$ Roughly,

how long will it take for the water evaporate?

Some numbers:

The saturation vapor pressure of water is $3000$ Pa$.$

The diffusion coefficient of water vapor is about $3\backslash$times $105$ m$2/$s$.$