7.24 At a hydroelectric power plant, the water pressure head is at a height of 300 m and the water flow available is 100 m3sā1. If the turbine generator efficiency is 60%, estimate the electric power available from the plant (g = 9.8 msā2).
Given,
Height of water pressure head, ā = 300 m
The volume of water flown in 1 sec, V = 100 m3
Mass of water, m = 100 Ć 103 = 105 kg
Efficiency, š = 60%
The potential energy of water during one second = ššššā = 105 Ć 9.8 Ć 300 =29.4 Ć 107 J sā1
Efficiency,
š = output power/input power
output power = šš Ć input power = 0.6 Ć 294 Ć 106 = 176 MW
Hence, 176 MW of power is available from the plant.
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