The manufacturer of the device claims that it accepts a heat transfer at a rate of QH = 3.0 kW from a low-grade source of geothermal heat at TH = 80ºC and rejects heat at rate QC to the atmosphere at TC = 20ºC. The device operates at steady state and produced work at a rate of W = 2.5 kW. There are no other heat or work transfers from the device. a.) What is the rate at which the device rejects heat to the atmosphere, QC ? b.) Is this device possible? Justify your answer using an entropy balance.

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Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.21P
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The manufacturer of the device claims that it accepts a heat transfer at a rate of QH = 3.0 kW
from a low-grade source of geothermal heat at TH = 80ºC and rejects heat at rate QC to the
atmosphere at TC = 20ºC. The device operates at steady state and produced work at a rate of W
= 2.5 kW. There are no other heat or work transfers from the device.


a.) What is the rate at which the device rejects heat to the atmosphere, QC ?
b.) Is this device possible? Justify your answer using an entropy balance. 

Figure illustrates a device advertised on the internet for producing power.
TH=80°C
W = 2.5 kW
QH = 3 kW
Device for
producing power
Tc = 20°C
Qc
Figure: Device for producing power.
The manufacturer of the device claims that it accepts a heat transfer at a rate of Q = 3.0 kW
from a low-grade source of geothermal heat at T = 80°C and rejects heat at rate to the
atmosphere at Tc = 20°C. The device operates at steady state and produced work at a rate of W
= 2.5 kW. There are no other heat or work transfers from the device.
a.) What is the rate at which the device rejects heat to the atmosphere, Q?
b.) Is this device possible? Justify your answer using an entropy balance.
Transcribed Image Text:Figure illustrates a device advertised on the internet for producing power. TH=80°C W = 2.5 kW QH = 3 kW Device for producing power Tc = 20°C Qc Figure: Device for producing power. The manufacturer of the device claims that it accepts a heat transfer at a rate of Q = 3.0 kW from a low-grade source of geothermal heat at T = 80°C and rejects heat at rate to the atmosphere at Tc = 20°C. The device operates at steady state and produced work at a rate of W = 2.5 kW. There are no other heat or work transfers from the device. a.) What is the rate at which the device rejects heat to the atmosphere, Q? b.) Is this device possible? Justify your answer using an entropy balance.
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