num. It also includes two \( 45^{\circ} \) and four \( 90^{\circ} \) regular screwed elbows, a fully open screwed gate valve, and a sharp exit into a tank. If the elevation of tank free surface is \( 180 \mathrm{~m} \). A pump is to be installed for pumping water from pipe at a gauge pressure of \( 150 \mathrm{kPa}=\mathrm{P} 1 \) to upper tank and deliver \( 0.004 \mathrm{~m}^{3} / \mathrm{s} \) of water. Assume \( ho=1000 \mathrm{~kg} / \mathrm{m}^{3}, \mu=0.001 \mathrm{~kg} / \mathrm{m} \cdot \mathrm{s} \) a. Justify fully developed flow assumption? [10] b. List assumptions required to solve question. [4] c. Calculate friction head loss hf in the piping system? [14] d. Calculate minor losses \( \mathrm{h}_{\text {minor }} \) for the system? [10] e. Calculate pump head hp, and pump power, kW.[12]