Newton's Law of Cooling - "k" constant

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SUMMARY

This discussion focuses on Newton's Law of Cooling and the relationship between the cooling constant "k" and the volume of water in a beaker. Participants explore the trend of "k" values as volume increases, suggesting that "k" is proportional to the area of heat flux. The conversation emphasizes the need for mathematical analysis using Newton's formula to clarify this relationship. A request for graphical representation of results indicates a practical approach to understanding the cooling process.

PREREQUISITES
  • Understanding of Newton's Law of Cooling
  • Basic knowledge of heat transfer principles
  • Familiarity with mathematical graphing techniques
  • Ability to analyze physical systems quantitatively
NEXT STEPS
  • Research the derivation of Newton's Law of Cooling
  • Learn about the relationship between heat flux and cooling constants
  • Explore mathematical modeling of thermal systems
  • Investigate experimental methods for measuring "k" in various materials
USEFUL FOR

Students in physics, researchers in thermodynamics, and anyone interested in understanding heat transfer dynamics through practical experimentation and mathematical modeling.

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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