Fluid Mechanics. Please need the solution ASAP. Dont skip any step please.

Question 4 (35 Marks) (a) A centrifugal pump model operating at 360 rpm, 90% efficiency is used to deliver water at 0.236 m3/s against a head of 90 m. A prototype six times larger operates at 400 rpm is built, determine the expected power, head and volumetric flow rate if the pump is operating at the same efficiency. (8 marks) (b) Why is Net Positive Suction Head required (NPSHR) an important parameter in pump application? Discuss. (3 marks) (C) Figure 2 shows a system used to transfer water at 85 C and atmospheric pressure of 101 kPa, from a level of 2.8 m below the pump inlet. The vertical part of the pipe is a 2.2 m long, 80 mm diameter steel pipe, while the horizontal leg is a 1.2 m, 50 mm steel pipe. The loss coefficient (Kl) for the elbow and the foot valve is 1.35 and 0.40, respectively. Ignore losses due to the eccentric reducer. If the system is to deliver 0.35 m3/min of water, is cavitation likely to happen? What can be done to reduce the likelihood of cavitation in the system? (24 marks) elbow Discharge line Flow III Eccentric reducer Open tank Water Foot valve Figure 2. Pumping system