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.
Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Chapter28: Special Refrigeration Applications
Section: Chapter Questions
Problem 4RQ
Related questions
Question
Assuming that the refrigeration device can operate reversibly, using the data below, estimate the
amount of heat absorbed from the cold-temperature region qC and the heat rejected to the high-temperature region qH .
Hint: it may be helpful to note that the temperature changes for certain processes are small(e.g., 1 → 2 and
3 → 4). In such situations, one might presume qrev ≈ ∫sfs0 Tds where T is the mean temperature of the process.
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