A water pump is used to pump water from one large reservoir to another large reservoir that is at a higher elevation. The free surfaces of both reservoirs are exposed to atmospheric pressure, as given in the figure below. The pump's performance curve is approximated by the expression Havailable = Ho - aQ2, where the shutoff head Ho = 50 m of water column, coefficient a = 0.053 m/Lpm2, available pump head Havailable is in units of meter of water column, and capacity Q is in units of liters per min (Lpm). The dimensions and minor loss coefficients are: z2-z1 = 6.7 m (elevation difference) D= 3.0 cm (pipe diameter) KL, entrance = 0.50 (pipe entrance) KL, valve 1 = 2.0 (valve 1) KL, valve 2 = 6.8 (valve 2) KL, elbow = 0.34 (each elbow) 1. II. III. KL, exit = 1.05 (pipe exit) = 0.0028 cm (pipe roughness) NSPH required = 2 m max at all flowrates Evaluate the capacity delivered (operating point) by the pump for the following conditions Total piping length L = 40m ii Total piping length L = 300m roughness = 0 Sketch plot on top of pump performance curve. Sketch plot the pump performance curve head versus flowrate, Q. In your plot indicate the shut off head, free delivery, and etc.