Problem $2.(15$ Points$)$ A heat pipe is a device developed by NASA for efficiently transmitting thermal energy while in

space. A heat pipe is to be constructed using a rigid pipe with a volume of $0\mathrm{.}00018*m^3.$ After being evacuated of all

matter, the pipe is connected to a water source. After quantity of water is introduced, the pipe is sealed. Temperature

measurements show that the water is at a temperature of $25C$ and careful measurements indicate that a mass of

$0\mathrm{.}000009$ kg of water was added.

$($a$)$ What is the specific volume of water contained in the pipe and quality of water vapor? $(10$ pts $)$