Question

A geothermal pump is used to pump brine whose density is 1,158 kg/m3 at a rate of 0.37m3/s from a depth of 344 m. By considering the efficiency of a pump device and taking the pump efficiency as 81 percent, determine the required power (kW) input to the pump to 1 decimal place. Disregard frictional losses in the pipes, assume that kinetic energy is negligible and the geothermal water is exposed to the atmosphere and thus its free surface is at atmospheric pressure. Take gravity as 9.81 m/s2 and assume the changes in kinetic energy are negligible.

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