Newton's Law of Cooling - "k" constant

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Discussion Overview

The discussion centers around Newton's Law of Cooling, specifically focusing on the cooling constant "k" and its relationship with the volume of water in a beaker. Participants are exploring the expected trends in "k" as volume changes and seeking mathematical explanations for these trends.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • Ben inquires about the expected trend of the cooling constant "k" as the volume of water increases and requests mathematical workings to illustrate this trend.
  • Another participant requests to see a graph of Ben's results to better understand the findings.
  • One participant suggests that "k" may be proportional to the area of the heat flux, referencing external material for context.
  • A later reply expresses confusion about whether Ben is seeking a method to determine "k" for various physical systems in advance.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the relationship between "k" and volume, and multiple viewpoints regarding the nature of "k" and its determination remain present.

Contextual Notes

There are unresolved assumptions regarding the physical systems being discussed and the specific conditions under which "k" is measured or calculated.

Ben Evans
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Hi,

I have been exploring Newtons Law of Cooling. What relationship should i expect to see from the cooling constant "k". I have plotted the "k" values for each equation that i have developed (based off of different volumes of water in the same sized beaker). So, when the "k" vs volume graph is plotted, what trend should i see as the volume increases?? and why is this trend occurring. Any Mathematical working using Newtons formula showing to show this trend would be greatly appreciated.

Cheers,
Ben
 
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Ben Evans said:
Hi,

I have been exploring Newtons Law of Cooling. What relationship should i expect to see from the cooling constant "k". I have plotted the "k" values for each equation that i have developed (based off of different volumes of water in the same sized beaker). So, when the "k" vs volume graph is plotted, what trend should i see as the volume increases?? and why is this trend occurring. Any Mathematical working using Newtons formula showing to show this trend would be greatly appreciated.

Cheers,
Ben
Please show us a graph of your results so far.
 

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