Question

5. A hydroelectric power station takes its water from a
lake whose water level is at a height of 50 m above
the turbine. Assuming an overall efficiency of 40%,
calculate the mass of water which must flow through
the turbine each second to produce power output of
1 MW. (Take g = 10 m s-2).​

Answer 1

Answer:

500kg/s

Explanation:

Here we have to calculate mass flow rate of water through turbine.

Efficiency = power output/ power input

40/100 = 1 MW / power input

power input = 100/40 MW

Power input = 2.5 MW

now power input = mass flow rate * g * H

2.5 MW = m * 10 * 50

2.5 * 1000000/500 = 2.5 *200

= 500 kg/s