1.Given a variable speed centrifugal pump initially pumping 32,000 pounds mass per hour (lbm/hr) at a discharge pressure of 35 pounds per square inch, gauge (psig), calculate the final, stable discharge pressure after the pump speed is raised by 50%. Show all work.
2.Water enters a pipe at 100 psig and 70 degrees F. The density of water under these conditions is 62.3 lbm/ft^3. The pipe has an inside diameter of 4.5 inches. The mass flow rate of the water is measured to be 7500 lbm/hr. What is the fluid velocity in the pipe in feet per second? State all assumptions. Show all of your work.