Nugatory,
So, if I have what you are saying right, I am starting with
dT/dt = -kT(t) + kTroom + c
where k is a constant for cooling and c is a constant for the heating rate [as it is not affected by the temperature difference]. This seems to show that the rate of cooling is proportional to...
I am having trouble wrapping my head around a particular problem I am thinking about.
Consider that I have a heating source that I can describe in terms of either degrees Celcius / second or Joules / second, but essentially I am able to determine a fixed heating rate.
Let's say:
dT/dt = 5...
Perhaps I'm not completely understanding what you are saying, and my apologies for that.
The law of cooling seems to first assume you are at some temperature above Tenv and then will cool down - in the absence of any other heat in or out of the system. (If i am wrong in this, please let me...
I am not sure how to proceed. This is just something that i have been thinking about and would love a little help with.
Lets say I have a situation where i am increasing an object's heat energy at some specific rate - for arguments sake, it's 2 degrees every second. If you like we can also...