WOLFRAM|DEMONSTRATIONS PROJECT

Newton's Law of Cooling

​
time elapsed T
0.5
initial temperature
T
0
100
ambient temperature
T
a
5
decay constant k
0.3
According to Newton's law of cooling, the rate of change of the temperature of an object is proportional to the difference between its initial temperature
T
0
and the ambient temperature
T
a
. At time
t
, the temperature
T
t
can be expressed as
T
t
=
T
a
+(
T
0
-
T
a
)
-kt

, where
k
is the decay constant.