A centrifugal pump having a head-capacity relationship given by the equation ha = 180 - 6.10 × 10-4 Q2, with ha in feet when Q is in gpm, is to be used with a system similar to that shown in Fig. 12.14. For z2 - z1 = 50 ft, what is the expected flowrate if the total length of constant diameter pipe is 600 ft and the fluid is water? Assume the pipe diameter to be 4 in. and the friction factor to be equal to 0.02. Neglect all minor losses.