A hydroelectric power station takes its water from a lake whose water level if 50 m above the turbine.
A hydroelectric power station takes its water from a lake whose water level if 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 MV.
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Potential energy = mgh
Efficiency = 40%
Useful work done = 40% of potential energy
= 40/100(mgh) = 0.4 x (m x 10 x 50)
= 200m
Power = work done pr second
1MW = 200 × mass of water flowing each second
1 × 106w = 200 × mass of water flowing each second.
Mass of water flowing each second = 1 x 106/200 = 5000kg
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