algebra

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

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  1. 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

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    Damon
  2. That is algebra ? I call it Physics :)

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    Damon

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