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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 (23) iii) a high-temperature region (34) 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.

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 (23) iii) a high-temperature region (34) 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.

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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The figure-of-merit indicating the quality of a refrigeration unit is usually the coefficient of performance
 
COP ≡ heat absorbed/net work put in
 
What is the COP for this magnetic refrigeration device?
 
(use wnet = 100 J/mol)
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
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