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To find the time of death, we will use Newton's Law of Cooling, which states:

Physics

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To find the time of death, we will use Newton's Law of Cooling, which states:

T(t)=Ts+(T0−Ts)e−ktT(t) = T_s + (T_0 - T_s)e^{-kt}

where:

  • T(t)T(t) is the temperature of the body at time tt.
  • TsT_s is the surrounding temperature.
  • T0T_0 is the initial temperature of the body at the reference time t=0t=0.
  • kk is the cooling constant.

Step 1: Identify the given information.

  • Room temperature, Ts=20∘CT_s = 20^\circ \text{C}.
  • Normal body temperature (temperature at time of death), $T_{death} = 37.2^\
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