Chapter 6.2, Problem 66E

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11th Edition

Ron Larson + 1 other

ISBN: 9781337275347

Textbook Problem

Newton's Law of Cooling A container of hot liquid is placed in a freezer that is kept at a constant temperature of

(a) Write an equation for the temperature y of the liquid t minutes after it is placed in the freezer.

(b) How much longer will it take for the temperature of the liquid to decrease to

**(a)**

To determine

**To calculate:** An equation for the temperature *y* of a liquid after it is placed in the freezer for *t* minutes.

Explanation

**Given:**

A container of hot liquid is kept in a freezer at a constant temperature of

**Formula used:**

Integration of

Integration of

**Calculation:**

According to the Newtonâ€™s law of cooling,

The rate of temperature will be proportional to the difference between *y* and constant temperature

Next by integrating the above equation:

Hence,

Integrating the above equation,

**(b)**

To determine

**To calculate:** The time taken for the temperature of liquid to decrease to 25°F.

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P-6PSCh-6 P-7PSCh-6 P-8PSCh-6 P-9PSCh-6 P-10PSCh-6 P-11PSCh-6 P-12PSCh-6 P-13PS

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