A $2$ L jar, equipped with a tight$-$fitting lid that contains a self$-$sealing lid, is half filled with water

such that the air space has a volume of $1$ L$,$ a total pressure of $1$ atm, and a temperature of $298$ K$.$

Then, $1\mathrm{.}5$ mg of trichloroethylene $($TCE$)$ is injected through the septum into the water. Some of the

TCE escapes into the gas phase. Consider the situation when a new equilibrium is established.

DATA for trichloroethylene $($TCE$)$:

Formula : C $2$ HCl$3$ Solubility: $1,100$ mg$/$L Henry$$s constant: K H $=0\mathrm{.}1$ M$/$atm

Calculate:

$($a$)$ The equilibrium mass concentration of TCE in water. Please show your number with the unit of

mg$/$L$.(8$ pts$)$

$($b$)$ The equilibrium mole fraction of TCE in air. Please show your number with the unit of ppm$.(4$

pts$)$