Water enters a system, operating at steady state, at 100 kPa, 25oC, 10 m/s at a mass

Question:

Water enters a system, operating at steady state, at 100 kPa, 25oC, 10 m/s at a mass flow rate (m⋅) of 200 kg/s. It leaves the system at 15 m/s, 1 MPa, 25oC. If the density of water is 1000 kg/m3, determine:
(a) The rate of flow work at the inlet (magnitude only)
(b) The rate of transport of kinetic energy at the inlet, and
(c) The diameter of the pipe at the inlet.