What does 1/k represent regarding Newtons Law of Cooling?
I know k represents the cooling constant. I think the inverse of k is the time taken for the liquid to cool from its maximum temperture to surrounding temperature. Any clarification would be most appreciated.


In Newton's law of cooling, the constant $k$ appears in most solutions schematically as,$^\dagger$

$$T(t)\sim e^{-kt}$$

Clearly, the argument of the exponential must be dimensionless, hence the constant $k$ has dimensions,


The constant $k$ is a measure of the rate of cooling, with the same dimensions as a frequency.

$\dagger$ We have assumed the simplest formulation of Newton's law of cooling, wherein the system of differential equations are linear, with constant coefficients.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.