The picture below shows a system where superheated vapor enters a container at a flow rate of 90 kg/s at 250C. The vapor is mixed with water (liquid phase) that enters at 20C. The mixture on the exit is saturated vapor (x=1). The pressure at inlets and outlet are 300 kPa. Calcluate the mass flow of the liquid water entering the tank if 300 kW are lost as heat in the mixing process.