Water is pumped from a lower reservoir to a higher reservoir by a pump that provides...

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engineering Chemical-Engineering

Answer 1

Answer #1

Applying Bernoulli's equation from pump discharge to higher reservoir. P1/rho*g + V1²/2g +Z1 = P2/rho*g +V2²/g +Z2

Since pipe diameter is same velocity will ve same and z2-z1= 45 m

Thus delta P = 45*rho*g = 45×1000×9.8 = 441000 Pa

Pump needs to deliver this power for pressure drop

We know that power = flow rate× delta P = 0.03*441000 = 13230 W = 13.23 kW

Total power given to system = 20 kW

Thus power converted into thermal energy = 20-13.23 =6.8 kW

Efficiency of pump = power delivered/ input power *100

= 13.23/20×100 = 66%

Thus 2nd option is correct

Answer 2

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