A pump is being used to move a liquid 30% ethylene glycol-water solution. The pump is connected to a pipe system as shown in Figure P3.13. The pressure on the suction side of the pump is 70 kPa. The pressure at the outlet of the pipe, which is 5 m above the pump discharge, is 550 kPa. The ethylene glycol solution is at a constant temperature of 20°C. The power input to the pump is 10 kW. Determine,

a. The volumetric flow rate of the ethylene glycol solution (L/s)

b. The percentage of the pump power input that is required to raise the fluid’s pressure from 70 kPa to 550 kPa

c. The percentage of the pump power input that is required to lift the fluid through an elevation of 5 m.

After writing the conservation of energy equation for the system boundary extending from Point 1 to Point 2, rewrite the enthalpy terms by substituting h = u + Pv and applying the incompressible fluid model.

FIGURE P3.13 A pump and pipe system. P = 70 kPa T = 20C G 5 m W, = 10 kW P = 550 kPa T = 20C