5. (a) A water fountain is to be installed at a remote location by attaching a 25-mm- diameter cast iron pipe directly to a water main through which water is flowing at 20 C and 450 kPa (abs). The entrance to the pipe is sharp-edged, and the 15-m-long piping system involves three 90 smooth flanged bends, a fully open gate valve, and an angle valve with KL = 5 when fully open. If the elevation difference between the pipe and the fountain is negligible, determine the water flow rate of the piping system. Given, the kinematic viscosity of water at 20C is 1.004 x 106 m/s. [Hint: Show a single iteration with initial guess Q = 2.0 L/s] 15 m d-25 mm Water main 450 kPa (20) Fig. for Q. 5(a) (b) A centrifugal pump impeller runs at 1300 rpm. Its external and internal diameter are 300 mm and 150 mm respectively. The vanes are set back at an angle of 35 to the outer rim. If the radial velocity of water through the impeller is maintained constant at 3 m/s and water enters at 10 m/s, find the angle of the vanes at inlet, the velocity and direction of water at outlet and the Euler head. (17) I need the solutions in detail,so i kindly request you to write all the steps and calculations and to draw all the necessary figures. I request you again not to skip any step.