$1.$ Two adjacent tanks are connected by a valve. The tank on the left contains $0\mathrm{.}5$ kg of water at a pressure of $11$ bar and a temperature of $600$ K$.$ The tank on the right contains $0\mathrm{.}25$ kg of saturated water at a temperature of $300$ K and its quality is $0\mathrm{.}4.$ If the valve between the tanks is opened and the tanks are allowed to reach thermal equilibrium with the environment, what is the amount of energy transfer as heat out of the system assuming the environment temperature is $22$ oC$?$ Use the water thermodynamic property tables for data.