Water at 16°C (viscosity 1.13 cP and density 1 g cm−3) is pumped from a large lake to the top of a mountain through a 6 in. steel pipe at an average velocity of 10 ft s−1. The inside diameter of this schedule of pipe is 5.501 in. The pipe discharges into the atmosphere at a level 4000 ft above the level in the lake. The pipeline is 5000 ft in total length. You can neglect the pressure loss due to any valves and fittings. The overall efficiency of the pump and its motor is 70%. If electricity costs $.11 per kWh, what will it cost to pump this water for 1 h?
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