Newton's law of cooling is:Originally Posted by distance
where is the temprature at time , is the tempreture of the
surroundings, and is a constant.
Now this has solution (see here , for derivation):
where is the temprature at .
Now we are told that after 3 hours the temprature should have dropped from 99F to 90F when is 60F, so:
Now the body was found at 10:00 pm at a temprature of 78F, so
if it had been cooling for hrs then:
solving for gives:
which is 8hrs 50m and 24s, so the murder occured at 01:09:36pm
(check the sums there could always be an error).