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2 years ago

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A body was found at midnight (12 a.m.) in a warehouse where the temperature was 55oF. The medical examiner found the temperature

of the body to be 66oF. What was the approximate time of death? Use Newton's law of cooling, with k = 0.1947.

2 answers:

Cerrena [4.2K]2 years ago

8 0

The solution would be like this for this specific problem:

T(t) = TA + (T₀<span> - TA) e^(-kt) </span>

<span>66 = 55 + (98.6 - 55) e^(-0.1947t) </span><span>
<span>11 = 43.6e^(-0.1947t) </span>
<span>11/43.6 = e^(-0.1947t) </span></span>

<span>
<span>ln(11/43.6) = -0.1947t </span></span>

<span>t = -ln(11/43.6) / 0.1947 </span>

<span>t ≈ -ln(0.252294) / 0.1947 </span><span>
<span>t ≈ -(-1.3771619) / 0.1947 </span>
<span>t ≈ 1.3771619 / 0.1947 </span>
t ≈ 7.07325</span>

<span>So, the approximate time of death is 7 hours, 4 min, 23 seconds<span>.</span></span>

aleksandr82 [10.1K]2 years ago

7 0

Answer:

5 pm

Step-by-step explanation:

apex

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