Question

Electric power is to be generated by installing a hydraulic turbine-generator at a site 120 m below the free surface of a large water reservoir that can supply water at a rate of 2300 kg/s steadily. Determine the power generation potential.

Answer 1

the power generation potential is 2.705 x 10⁶ J/s.

Step-by-step explanation:

Given;

height below the free surface of a large water reservoir, h = 120 m

mass flow rate of the water, m' = 2300 kg/s

The power generation potential is calculated as;

`Power = (Energy)/(time) = (F* h)/(t) = ((mg) * h)/(t) = (m)/(t)* gh = m' * gh\\\\Power = m' * gh\\\\Power = 2300 \ kg/s \ * \ 9.8 \ m/s^2 \ * \ 120 \ m\\\\Power = 2.705 * 10^6 \ J/s`

Therefore, the power generation potential is 2.705 x 10⁶ J/s.