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 ).
Therefore, electric power available from the plant =
= 0.6
= 176.4 W
= 176.4 MW
<p><strong>7.24 </strong>Height of the water pressure head, h = 300 m</p><p>Volume of water flow rate, V = 100 <span title="Click to copy mathml"><math><msup><mrow><mrow><mi>m</mi></mrow></mrow><mrow><mrow><mn>3</mn></mrow></mrow></msup></math></span> /s</p><p>Efficiency of turbine generator, <span title="Click to copy mathml"><math><mi>η</mi></math></span> = 60 % = 0.6</p><p>Acceleration due to gravity, g = 9.8 m/ <span title="Click to copy mathml"><math><msup><mrow><mrow><mi>s</mi></mrow></mrow><mrow><mrow><mn>2</mn></mrow></mrow></msup></math></span></p><p>Density of water, <span title="Click to copy mathml"><math><mi>ρ</mi></math></span> = <span title="Click to copy mathml"><math><msup><mrow><mrow><mn>10</mn></mrow></mrow><mrow><mrow><mn>3</mn></mrow></mrow></msup></math></span> kg/ <span title="Click to copy mathml"><math><msup><mrow><mrow><mi>m</mi></mrow></mrow><mrow><mrow><mn>3</mn></mrow></mrow></msup></math></span></p><p>Therefore, electric power available from the plant = <span title="Click to copy mathml"><math><mi>η</mi></math></span> <span title="Click to copy mathml"><math><mo>×</mo><mi>h</mi><mi>ρ</mi><mi>g</mi><mi>V</mi></math></span></p><p>= 0.6 <span title="Click to copy mathml"><math><mo>×</mo><mn>300</mn><mo>×</mo><msup><mrow><mrow><mn>10</mn></mrow></mrow><mrow><mrow><mn>3</mn></mrow></mrow></msup><mo>×</mo><mn>9.8</mn><mo>×</mo><mn>100</mn></math></span></p><p>= 176.4 <span title="Click to copy mathml"><math><mo>×</mo><msup><mrow><mrow><mn>10</mn></mrow></mrow><mrow><mrow><mn>6</mn></mrow></mrow></msup></math></span> W</p><p>= 176.4 MW</p>
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