A forensic method for estimating the time of death of a body is
based on the law of
newton of cooling, given by the governing equation
Where k > 0 is the rate at which heat is lost from the body
and A(t) is the temperature
environment. The idea is to measure the body temperature at two
different times, in order to
to calculate the constant K, and thus “reverse extrapolate” to the
temperature of the
living body T = 37°C.
Suppose a body was found in a room in which the ambient
temperature is
kept constant at 24°C. At eight in the morning the measured body
temperature is 28°C,
after one hour the temperature is found to have dropped to
26°C.
show that integrating the measured body temperature at two
different times t1 and t2, will
result
in
Note:Newton's law of cooling
dT dt =-k(T – A(t))
T(t) = A + [T(t)- Ale-k(t2-1).
A forensic method for estimating the time of death of a body is based on the law of newton of cooling, given by the gove
-
- Site Admin
- Posts: 899603
- Joined: Mon Aug 02, 2021 8:13 am