A canal has been enclosed in a pipe with a length of 20 miles (32.2km) and a diameter of 2.5m. The pipe is essentially smooth, and over the length of the pipe the net elevation gain is 10m. The canal pipe is connected to a town water system, and a minimum flowrate of 10m3/s through the pipe is required for the system to function. Only one type of pump is available for this system, and it has a pump performance curve described by hp=554Q2, where hp is in units of meters and flowrate Q is in units of m3/s. a) Find the minimum pump head required to drive this flow. b) How many pumps are required, and should they be arranged in series or in parallel? a) Describe how you would find the exact pump head and flowrate that would result from this system (the operating point)-give a system of equations and identify the unknowns which would need to be solved for