You are hired to build a geothermal power plant that absorbs heat from a hot water spring and discards heat into the surrounding air, which is at a temperature of 17°. The plant is designed for a maximum (Carnot) efficiency of 0.21.   What is the temperature, in degrees Celsius, of the hot water gushing from the spring?    If the rate of energy supplied to the plant by the hot-water source is 4.6 kW, what is the plant’s maximum rate of power output, in kilowatts?

University Physics Volume 2
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Chapter4: The Second Law Of Thermodynamics
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Problem 77AP: A heat engine operates between two temperatures such that the working substance of the engine...
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 You are hired to build a geothermal power plant that absorbs heat from a hot water spring and discards heat into the surrounding air, which is at a temperature of 17°. The plant is designed for a maximum (Carnot) efficiency of 0.21.

 

What is the temperature, in degrees Celsius, of the hot water gushing from the spring? 

 

If the rate of energy supplied to the plant by the hot-water source is 4.6 kW, what is the plant’s maximum rate of power output, in kilowatts? 

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