Chapter 12.5, Problem 58E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

** Newton’s law of cooling** Newton’s law of cooling can be used to estimate time of death. (Actually the estimate may be quite rough because cooling does not begin until metabolic processes have ceased.) Suppose a corpse is discovered at noon in a

To determine

**To calculate:** The time of death of a corpse with the help of Newton’s law of cooling when the temperature of the room and corpse at noon are

Explanation

**Given information:**

A dead body is found at noon and the temperature of the room and corpse at noon are

**Formula used:**

The newton law of cooling is,

Where *T* is the temperature of the surroundings, *k* is any constant and *t* is any instantaneous time.

The logarithmic rule of integrals,

The natural logarithm property,

**Calculation:**

Consider the Newton law of cooling is,

Now, the room temperature at noon is

Substitute *T* in

Consider at noon as initial time,

Substitute 0 for *t* and *u* in

Substitute *A* in

Now, after

Substitute 1 for *t* and *u* in

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