It was noon on a cold December day in Tampa: 16ºC.

Chapter 3, Problem 5E

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QUESTION:

Problem 5E

Problem

It was noon on a cold December day in Tampa: 16ºC. Detective Taylor arrived at the crime scene to find the sergeant leaning over the body. The sergeant said there were several suspects. If they knew the exact time of death, then they could narrow the list. Detective Taylor took out a thermometer and measured the temperature of the body: 34.5ºC. He then left for lunch. Upon returning at 1:00 P.M., he found the body temperature to be 33.7ºC. When did the murder occur? [Hint: Normal body temperature is 37ºC.]

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QUESTION:

Problem 5E

Problem

It was noon on a cold December day in Tampa: 16ºC. Detective Taylor arrived at the crime scene to find the sergeant leaning over the body. The sergeant said there were several suspects. If they knew the exact time of death, then they could narrow the list. Detective Taylor took out a thermometer and measured the temperature of the body: 34.5ºC. He then left for lunch. Upon returning at 1:00 P.M., he found the body temperature to be 33.7ºC. When did the murder occur? [Hint: Normal body temperature is 37ºC.]

ANSWER:

Solution ;

Step 1 :

In this problem we have to find that at what time the murder occur in Tampa.

Solve the given problem we have to use the following formula

………..(1)

Where T(t) denotes the temperature of the object after time t.

is the object original temperature.

 is the temperature of surrounding.

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