Use vapor pressure.

A student leaving campus for spring break wants to make sure the air in her dorm room has a high water vapor pressure so that her plants are comfortable. The dorm room measures $3\mathrm{.}63m4\mathrm{.}62m3\mathrm{.}75m$ and the student places a pan containing $1\mathrm{.}86L$ of water in the room. Assume that the room is airtight, that there is no water vapor in the air when she closes the door, and that the temperature remains a constant $23C.$ The vapor pressure of water at $23C$ is $21\mathrm{.}1mmHg.$

$($a$)$ Calculate the pressure that the water vapor would exert if all of the liquid water evaporated.

$mmHg$

$($b$)$ Will all of the water in the pan evaporate?