Min power needed to maintain a sample at given temperature

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Discussion Overview

The discussion revolves around determining the minimum power required to maintain a cryogenic sample at -195 °F in a lab environment at 70 °F. Participants explore concepts related to heat transfer, HVAC cycles, and the implications of power dynamics in maintaining the sample temperature.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses confusion regarding the diagram's representation of an HVAC cycle versus a power cycle, questioning the implications of clockwise rotation on work input.
  • Another participant suggests that minimizing QH, the power leaving the system, could affect the sample temperature but does not provide a definitive answer.
  • A participant mentions a potential error in the diagram's rotation as indicated by their professor, raising the question of whether this affects the sample temperature.
  • There is a discussion about the conditions necessary for maintaining a constant sample temperature, with participants proposing different conditions involving QC and QLeak.
  • One participant asserts that QC should equal QLeak for the temperature to remain constant, while another acknowledges this point but seeks a more comprehensive answer to the original question.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the relationship between the heat transfer rates and the implications for maintaining the sample temperature. There is no consensus on the correct interpretation of the diagram or the minimum power conditions.

Contextual Notes

Participants reference a diagram that is not visible in the discussion, which may limit their ability to fully analyze the problem. Additionally, there are unresolved questions about the implications of turning off the heat pump and its effect on the sample temperature.

Who May Find This Useful

This discussion may be useful for students studying thermodynamics, HVAC systems, or those interested in cryogenic applications and heat transfer principles.

jdawg
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Homework Statement


A sample in a lab is maintained at a cryogenic temperature of -195 °F. The lab is a balmy 70 °F. Heat leaks into the sample at a known rate, Q leak, which raises the temperature.

Provide a brief explanation of how you would determine the minimum power needed to maintain the sample at -195 °F. Be sure to include relevant equations.

Homework Equations

The Attempt at a Solution


I'm a little bit confused about this diagram! I know that HVAC cycles require work, which would make me think this is an HVAC cycle since work is being put into the system. But the rotation is clockwise, which would make me think its a power cycle! Can someone explain to me why the direction of work and rotation are contradicting each other?
Also, when is the power at its minimum? Is it maybe when QH is at its minimum?
(Sorry that the diagram is upside down, I couldn't get it to rotate!)
 

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I can't comment on the clockwise/anticlockwise issue but does it stop you solving the problem?

jdawg said:
Also, when is the power at its minimum? Is it maybe when QH is at its minimum?

QH is the power coming out of the system into the room. You could minimise QH by turning off the heat pump but what would happen to the sample temperature?
 
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I found out that my professor messed up on the diagram and his rotation was wrong. Would the temperature of the sample decrease?
 
CWatters said:
QH is the power coming out of the system into the room. You could minimise QH by turning off the heat pump but what would happen to the sample temperature?

jdawg said:
Would the temperature of the sample decrease?

No. What happens to the contents of a fridge if you turn the fridge off :-)

Take a look at the "sample" block on the diagram. What is the condition for constant sample temperature?

QC < QLeak?
QC > QLeak?
QC = QLeak?
 
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Ohh thanks so much!
 
Care to post your answer?
 
I think Qc = Qleak?
 
That's correct but I actually meant your overall answer to the question.
 

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