5. Water is pumped from the lower to the upper reservoir as shown. Pipe friction losses are approximated by hf 27Vg/(2g), where Vaug is the average velocity in the pipe. The pump characteristics as specified by the manufacturer are typically in the form of a pump performance curve as shown. The pump head according to this parabolic curve varies with the flow rate and is given as hp = 80 – 20Q², where Q is the volume flow rate in m³/s and hÃis the pump head in m. Find=

Figure 2: Water is being pumped to the upper reservoir by a pump whose performance curve is given by the manufacturer. (a) The flow rate of water in m³/s (b) Power required to drive the pump.