The figure below shows a turbine-driven pump that provides water to a mixing chamber located dz =5m higher than the pump, where m=20kg/s. Steady-state operating data for the turbine and pump are labeled on the figure. Heat transfer from the water to its surroundings occurs at a rate of 2kW. For the turbine, heat transfer with the surroundings and potential energy effects are negligible. Kinetic energy effects at all numbered states can be ignored. Determine: (a) the magnitude of the pump power, in KW. (b) the mass flow rate of steam, in kg/s, that flows through the turbine