$9$a$.,5\mathrm{.}0kg$ of steam are placed in a tank at $1000$kPa$(\frac{?}{abs})$ and $250C.$ The tank is then cooled until the pressure is $200$kPa $($abs$)$ during which some of the steam condenses. What mass of steam $(kg)$ condensed?

$($a$)0\mathrm{.}2771kg$

$($b$)1\mathrm{.}8223kg$

$($c$)3\mathrm{.}6955kg$

$($d$)4\mathrm{.}7229kg$

$($e$)$ none of these