When you returned home after class, you were arrested by the local police for th

Question

When you returned home after class, you were arrested by the local police for the murder of your neighbor who was found dead in a closed room in his home. At the time of the discovery of your neighbor's body (3:00pm), the temperature of the room was 70 degree, and the core temperature of his body was 85 degree. One hour later a second measurement showed that the core temperature of the body was 80 degree. Prove your innocence. [Hint: Your classmates and your professor can testify that you were in MTH 291 from 12:30 to 1:45pm at the Loudoun campus. Assume the time of death corresponds to t = 0 , and that your neighbor's body temperature was 98.6 degree at that time.]

Explanation / Answer

ln(85/80)=k*1 or K=0.0606 so, ln(98.6/85)=kt or ln(98.6/85)=0.0606t ot t=2.449 hours =2 hours 27 minutes. so the murder took place at 3-2-27 minutes =12:33 hours but at that time i was in campus...so i am innocent

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