In certain situations when only superheated steam is available, a need for saturated steam may arise. This need can be met in an adiabatic de super heater, in which liquid water is sprayed into the superheated steam in such amounts that dry, saturated steam leaves the de superheater. The following data apply to such a steadily operating de super heater. Superheated steam at 580 K and 3MPa enters the desuperheater at 0.25 kg/s. Liquid  enters the desuperheater at 320 K and 5 MPa. Dry, saturated vapor leaves at 3 MPa. Determine the mass flow rate (kg/s) of liquid water.