Vapor-compression refrigeration system - boiling & critical point

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Homework Help Overview

The discussion revolves around the principles of vapor-compression refrigeration systems, specifically focusing on the implications of boiling points and critical points in relation to system performance. Participants explore how these factors influence the efficiency and operation of refrigeration cycles, including sub-critical and transcritical cycles.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants question the relationship between boiling points and system performance, particularly in terms of the coefficient of performance. There is discussion about the relevance of critical points in different types of refrigeration cycles, including transcritical CO2 cycles. Some participants express confusion about the concepts and seek clarification on the desired temperatures for optimal performance.

Discussion Status

The discussion is ongoing, with participants offering insights and raising questions about the implications of boiling and critical points. Some guidance has been provided regarding the relationship between temperatures in the Carnot cycle, but there is no explicit consensus on the interpretations of these concepts.

Contextual Notes

Participants note the vagueness of the homework question and suggest seeking clarification from the instructor. There is also mention of learning about transcritical cycles in the same chapter, which adds complexity to the discussion.

yecko
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Homework Statement
In vapor-compression refrigeration system, should boiling & critical points be the higher the better or the lower the better?
Relevant Equations
T-s diagram
Is it the lower the boiling point the better? As room pressure and temperature already can change the phase without working at vacuum?
And the higher critical point means it is hard to reach super critical phase?

But there is transcritical CO2 cycle, which the critical point is so low, and people are using it... is it an exceptional case? or is my concept correct?
thank you in advanced.
 
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Honestly, this homework question is pretty vague. I'd ask your instructor to specify what his criteria for "better" are. My interpretation is based on coefficient of performance.

I'm assuming "boiling point" here means the vapor's state at the evaporator. And I think you have the right idea that the critical point limits the condenser temperature. Think about a Carnot refrigeration cycle. What do you want from the condenser and evaporator temperatures to get a higher coefficient of performance?

I would not worry about transcritical cycles because the critical point is not a relevant parameter for them. I don't think this problem expects you to think about them.
 
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This is the problem, which I am quite confused with the concepts.

Twigg said:
What do you want from the condenser and evaporator temperatures to get a higher coefficient of performance?

A higher TL and a lower TH?

Twigg said:
I would not worry about transcritical cycles because the critical point is not a relevant parameter for them. I don't think this problem expects you to think about them.

We also learned about transcritical CO2 cycle in the same chapter. Which without change of state, it is correct to say " heat be absorb and release only by heat capacity"?

Thank you
 
yecko said:
A higher TL and a lower TH?
This is correct, but somehow when I posted my reply I had it backwards in my head. Please disregard that suggestion about using the Carnot cycle coefficient of performance. Really sorry about that.

Why don't you draw a TS diagram for a sub-critical vapor-compression cycle, labeling the critical point and "normal boiling point" (as the evaporator temperature). Is a refrigerant with a higher/lower critical point more or less versatile? Do the same exercise for the boiling point. Next, draw a transcritical cycle. Do the same limitations apply?
 

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