# B 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 occuring. Any Mathematical working using Newtons formula showing to show this trend would be greatly appreciated.

Cheers,
Ben

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#### Chestermiller

Mentor
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 occuring. 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

#### Chestermiller

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

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

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