Question

A body was found at 10 a.m in a warehouse where the temperature was 40 degrees Fahrenheit. The medical examiner found the temperature of the body to be 80 degrees Fahrenheit. What is the approximate time of death? Use Newtons law of cooling, with k = 0.1947

5 a.m, 9:30 a.m, 9:45 a.m. 8 a.m

Answers

Damon
T(t) = Tsurrounding + (Tstart -Tsurrounding) e^(-k t)
80 = 40 + ( about 99 - 40 ) e^(-.1947 t)
40 = 59 -e^.1947 T
0.678 = e^-.1947 t
ln .678 = -.389 = -.1947 t
t = 2 hours before 10 am
Damon
That is algebra ? I call it Physics :)

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