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 m3s–1. If the turbine generator efficiency is 60%, estimate the electric power available from the plant (g = 9.8 ms–2 ).

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 m³s^–1. If the turbine generator efficiency is 60%, estimate the electric power available from the plant (g = 9.8 ms^–2 ).

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Payal Gupta | Contributor-Level 10

8 months ago

7.24 Height of the water pressure head, h = 300 m

Volume of water flow rate, V = 100 $m^{3}$ /s

Efficiency of turbine generator, $η$ = 60 % = 0.6

Acceleration due to gravity, g = 9.8 m/ $s^{2}$

Density of water, $ρ$ = $10^{3}$ kg/ $m^{3}$

Therefore, electric power available from the plant = $η$ $* h ρ g V$

= 0.6 $* 300 * 10^{3} * 9.8 * 100$

= 176.4 $* 10^{6}$ W

= 176.4 MW

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