3. (30 points) A 5 m diameter supply tank at ground level contains water at 25C. Water from the supply tank is being pumped through a 50 m long smooth pipe (diameter 0.025 m) to a higher level open to atmosphere. The mass flow rate of the water in the pipe is 2 kg/s. The pipe contains one gate (friction coefficient, Cff =2.1) and two 90 standard elbows (friction coefficient, C = 1.5) and the pipe exit is at an elevation of 15 m above the ground. Assume that the supply tank maintains a liquid level of 10 m and compute the energy requirements of the pump per kg of water pumped (in J/kg)