A pipe 50 cm diameter carries water (10°C) at a rate of 0.5 m³/s. A pump in the pipe is used to move the water from an elevation of 30 m to 40 m. The pressure at section 1 is 70 kPa gage, and the pressure at section 2 is 350 kPa gage. What power in kilowatts must be supplied to the flow by pump? Assume h 3 m of water, a₁ = a₂ 1, and y = 9810 N/m³ [30 points]. 30 m Pi - 70 kPa gage a-1.0 Water Q-0.5 m³ Pump 240 m P1-350 kPa gage 2-1.0 Pipe D-0.5 m head loss in pipe 3 m