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charle [14.2K]
4 years ago
8

A geothermal pump is used to pump brine whose density is 1050 kg/m3 at a rate of 0.3 m3/s from a depth of 200 m. For a pump effi

ciency of 90 percent, determine the required power input to the pump. Disregard frictional losses in the pipes, and assume the geothermal water at 200 m depth to be exposed to the atmosphere.
Engineering
1 answer:
nasty-shy [4]4 years ago
5 0

Answer:

Input power of the geothermal power will be 686000 J

Explanation:

We have given density of brine \rho =1050kg/m^3

Rate at which brine is pumped V=0.3m^3/sec

So mass of the pumped per second

Mass = volume × density = 1050\times 0.3=315 kg/sec

Acceleration due to gravity g=9.8m/sec^2

Depth h = 200 m

So work done W=mgh=315\times 9.8\times 200=617400J

Efficiency is given \eta =0.9

We have to fond the input power

So input power =\frac{617400}{0.9}=686000J

So input power of the geothermal power will be 686000 J

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