Problem $3(25$ points$)-$ A $0\mathrm{.}1m^3$ tank contains a saturated water mixture at $200C$ with a quality of $0\mathrm{.}10.$ A valve at the top of the tank is opened and saturated vapor is slowly vented. The tank is heated to maintain its temperature at $200C.$ How much heat has been added by the time the tank has reached a quality of $0\mathrm{.}20?$ Ignore potential and kinetic energy at the exit.