A body is found at 2:00pm at a temperature of 26°C, with a surrounding temperature of 18°C.
Two hours later the temperature of the body is 21°C, when did the body die?
where T is the temperature of the body
A is the initial temperature
k is a constant
t is time in minutes
Ts is the surrounding temperature
In order to do this assumed at t=0 the body would be 37°C because that is roughly a persons body temperature before death. When I substituted that in though I couldn't get k. How do I get k? Do I need any assumptions? Am I allowed to find k by doing the following
21=26e^(120k)+18 and re-arrange from there?