A pump is used to supply water at a rate of 3 kg/s to a spray cooling system used in a heat-treating operation. Estimate the power required to operate this pump, assuming the process is adiabatic and steady-flow. The water enters the pump at 200 kPa and 295 K and leaves at 800 kPa. The temperature increase across the pump is 0.01 kelvins.

A. Estimate the minimum power required to operate the pump. Assume changes in the kinetic and potential energies are small compared to the power required. Use NIST or other software to obtain water properties.

B. Assuming the inlet velocity is negligible, what would the outlet velocity have to be if the exiting kinetic energy rate were 1 percent of the pump power?