Water falls from a height of 80m at the rate of 20kg/s to operate a turbine. The losses due to frictional force are 20 % of the energy. How much power is generated by the turbine? (g=10ms2)
A
12.3kW
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B
7.0kW
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C
12.8kW
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D
10.2kW
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Solution
The correct option is C12.8kW Power given to turbine =mght Pin=(mt)gh⇒Pin=20×10×80 ⇒Pin=16000W ⇒Pin=16kW
Frictional losses mount to 20%, efficiency of turbine is 80% Therefore, power generated by turbine =80%of16kW ⇒Pout=16×80100 ⇒Pout=12.8kW