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In this problem, you will consider an "unusual” solid-state refrigeration device that achieves cooling by varying the magnetization of the working mate- rial (gadolinium sulphate octahydrate) at constant- pressure conditions. By contrast, most refrigeration cycles achieve cooling based on manipulating pres- sures of the working fluid. The device functions roughly as shown at the right wherein a paramag- netic wheel is rotated through different regions: i) a low-temperature region (12) ii) a low-magnetic field region (2 → 3) iii) a high-temperature region (34) iv) a high-magnetic field region (41) In the figure, the thermodynamic state at the point of entry/exit from each region is shown.

In this problem, you will consider an "unusual” solid-state refrigeration device that achieves cooling by varying the magnetization of the working mate- rial (gadolinium sulphate octahydrate) at constant- pressure conditions. By contrast, most refrigeration cycles achieve cooling based on manipulating pres- sures of the working fluid. The device functions roughly as shown at the right wherein a paramag- netic wheel is rotated through different regions: i) a low-temperature region (12) ii) a low-magnetic field region (2 → 3) iii) a high-temperature region (34) iv) a high-magnetic field region (41) In the figure, the thermodynamic state at the point of entry/exit from each region is shown.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Sketch the process on the following state diagrams. For the purposes of your diagram(s), it may be
useful consider that increasing the magnetic field B at a fixed temperature would tend to increase the magnetization M, resulting in a more ordered material (i.e., lower entropy).

 
 

 

In this problem, you will consider an "unusual" solid-state refrigeration device that achieves cooling by varying the magnetization of the working mate- rial (gadolinium sulphate octahydrate) at constant- pressure conditions. By contrast, most refrigeration cycles achieve cooling based on manipulating pres- sures of the working fluid. The device functions roughly as shown at the right wherein a paramag- netic wheel is rotated through different regions: • i) a low-temperature region (1 → 2) ii) a low-magnetic field region (2 → 3) iii) a high-temperature region (3 → 4) iv) a high-magnetic field region (4 → 1) In the figure, the thermodynamic state at the point of entry/exit from each region is shown. T₁ = 1.1 K B₁ = 0.9 Tesla Low temperature "reservoir" Qc T₂ = 0.9 K B₂ = 0.0 Tesla high magnetic field rotating magnetic wheel low magnetic field T₁ = 9.5 K B₁ = 6.4 Tesla QH high temperature "reservoir" T3 = 8.0 K B3 = 1.6 Tesla
Transcribed Image Text:In this problem, you will consider an "unusual" solid-state refrigeration device that achieves cooling by varying the magnetization of the working mate- rial (gadolinium sulphate octahydrate) at constant- pressure conditions. By contrast, most refrigeration cycles achieve cooling based on manipulating pres- sures of the working fluid. The device functions roughly as shown at the right wherein a paramag- netic wheel is rotated through different regions: • i) a low-temperature region (1 → 2) ii) a low-magnetic field region (2 → 3) iii) a high-temperature region (3 → 4) iv) a high-magnetic field region (4 → 1) In the figure, the thermodynamic state at the point of entry/exit from each region is shown. T₁ = 1.1 K B₁ = 0.9 Tesla Low temperature "reservoir" Qc T₂ = 0.9 K B₂ = 0.0 Tesla high magnetic field rotating magnetic wheel low magnetic field T₁ = 9.5 K B₁ = 6.4 Tesla QH high temperature "reservoir" T3 = 8.0 K B3 = 1.6 Tesla
Temperature, T Magnetic Field, B Temperature, T Entropy, S
Transcribed Image Text:Temperature, T Magnetic Field, B Temperature, T Entropy, S
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