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(Solved): In a hydroelectric dam, water falls 27.0 m and then spins a turbine to generate electricity. You may ...



In a hydroelectric dam, water falls 27.0 m and then spins a turbine to generate electricity. You may want to review (Pages 234 - 238) .

Part A What is ΔU of 1.0 kg of water? Express your answer with the appropriate units.

Suppose the dam is 80% efficient at converting the water's potential energy to electrical energy. How many kilograms of water must pass through the turbines each second to generate 54.0 MW of electricity? This is a typical value for a small hydroelectric dam.



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Given,
Initial height of water   
Mass of water   

a) To find change in the potential energy of water.



Here,   - mass of water and    - intial height of water and final height of water is   

Now substitute   ,    and   



This    sign shows that, when water falls down it loses it's potential energy.


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