Newton's Law of Cooling - "k" constant

[Ben Evans]

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

 

[Chestermiller]

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.

 

[haushofer]

Isn't k proportional to the area of the heat flux? See

https://en.m.wikipedia.org/wiki/Newton's_law_of_cooling

 

[Chestermiller]

Isn't k proportional to the area of the heat flux? See

https://en.m.wikipedia.org/wiki/Newton's_law_of_cooling

I'm confused. Are you trying to find out how to determine k in advance for various physical systems?