Heat energy and liquid nitrogen boil-off rate

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SUMMARY

The discussion focuses on calculating the boil-off rate of liquid nitrogen in relation to heat energy input. The key finding is that 4.68 Joules are required to boil off 0.35 grams of liquid nitrogen per second, leading to a calculation for 1 gram using a ratio method. The correct approach involves recognizing that the heater's power output of 4.68 Watts does not solely account for the mass loss rate, as liquid nitrogen also evaporates at a baseline rate. The discrepancy in using 0.02 instead of 0.35 arises from understanding the heater's contribution to the overall boil-off rate.

PREREQUISITES
  • Understanding of heat transfer principles
  • Familiarity with the concept of mass loss rates
  • Basic knowledge of Joules and Watts as units of energy and power
  • Experience with ratio and proportion calculations
NEXT STEPS
  • Research the thermodynamics of liquid nitrogen and its boiling point
  • Learn about heat transfer calculations in cryogenic applications
  • Explore the impact of heater power on phase change processes
  • Investigate methods for measuring boil-off rates in cryogenic systems
USEFUL FOR

Students studying thermodynamics, engineers working with cryogenic systems, and researchers interested in heat transfer and phase change phenomena.

Asad Raza
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Homework Statement



Kindly refer to part (c). The woking should be power/0.35 (what I think according to the graph). But the answer is power (that is the answer of part b) divided by 0.02

Homework Equations


I have used the ratio method simply

The Attempt at a Solution


According to part (b), the amount of heat energy needed needed per second is 4.68 Joules (answer to part b). Now the gradient of the graph indicates that the mass loss per second is 0.35g/s. So we can imply the 4.68 Joules are needed to boil off 0.35g of liquid Nitrogen in one second. Then applying ratio, we can calculate for 1g. The correct answer to this question applies the same method but uses 0.02 instead of 0.35. Why is that so? Where did it come from?
 

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Asad Raza said:
According to part (b), the amount of heat energy needed needed per second is 4.68 Joules (answer to part b). Now the gradient of the graph indicates that the mass loss per second is 0.35g/s. So we can imply the 4.68 Joules are needed to boil off 0.35g of liquid Nitrogen in one second. Then applying ratio, we can calculate for 1g. The correct answer to this question applies the same method but uses 0.02 instead of 0.35. Why is that so? Where did it come from?
The heater just happens to produce 4.68 W, but it's not entirely responsible for the slope of the graph line corresponding to when the heater is on; You're forgetting that even without the heat switched on, the liquid nitrogen still boils off at some rate (that's why there are two graph lines).

You need to disentangle the information given and determine what the heater's own contribution is to the mass loss rate.

One other thing. Your thread title is to generic. "On Energy" does not adequately describe the question being posed so that helpers can identify the area of physics involved. I've changed the thread title to: Heat energy and liquid nitrogen boil-off rate
 

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