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 23°. The plant is designed for a maximum (Carnot) efficiency of 0.13. a) What is the temperature, in degrees Celsius, of the hot water gushing from the spring? TH = b) 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? P = c) If the geothermal source becomes cooler over time, how will the maximum efficiency of the plant change? Assume that the temperature of the surrounding air remains constant: _The efficiency will increase. _The efficiency will decrease. _There is not enough information to determine how the efficiency will change. _The efficiency will remain the same.

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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 23°. The plant is designed for a maximum (Carnot) efficiency of 0.13.

 

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

TH =

b) 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?

P =

c) If the geothermal source becomes cooler over time, how will the maximum efficiency of the plant change? Assume that the temperature of the surrounding air remains constant:

 

_The efficiency will increase.
_The efficiency will decrease.
_There is not enough information to determine how the efficiency will change.
_The efficiency will remain the same.
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