Water ( = 1000 kg/m3) flows steadily into a hydraulic turbine through an inlet with a mass flow rate of 500 kg/s. The conditions at

Water (ρ = 1000 kg/m3) flows steadily into a hydraulic turbine through an inlet with a mass flow rate of 500 kg/s. The conditions at the inlet are measured as 500 kPa and 25oC.
(a) Determine the magnitude of the rate of flow work transfer in kW and
(b) The sign of the work transfer (-1 if negative, 1 if positive) treating the turbine as the system.