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Newton's Law of Cooling

Please explain any steps (separable, linear, etc) taken. Thank you.

Assume Newton's Law of Cooling:

A body cools from 60ºC to 50ºC in 15 minutes in air which is maintained at 30ºC. How long will it take this body to cool from 100ºC to 80ºC in air that is maintained at 50ºC?

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Please see the attached file.

Newton's law of cooling states that the rate of change is the temperature is given as:

Where Ts is the temperature of the surrounding (assuming a ...

Solution Summary

This provides an example of solving a word problem using Newton's Law of Cooling.