An adiabatic pump working at steady state raises the pressure of water from 100 kPa to 1 MPa, while the specific internal energy (u) remains constant. If the exit is 10 m above the inlet and the flow rate of water is 100 kg/s,
(a) Determine the pumping power. Neglect any change in kinetic energy (ke). Assume density of water to be 997 kg/m3.
(b) What-if Scenario: What would the pumping power be if any change in potential energy (pe) were also neglected?