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Chapter: 11th Physics : Heat and Thermodynamics

Solved Example Problems for Newton’s law of cooling

Physics : Heat and Thermodynamics - Solved Example Problems for Newton’s law of cooling

EXAMPLE 8.8

A hot water cools from 92°C to 84°C in 3 minutes when the room temperature is 27°C. How long will it take for it to cool from 65°C to 60°C?

The hot water cools 8°C in 3 minutes. The average temperature of 92°C and 84°C is 88°C. This average temperature is 61°C above room temperature. Using equation (8.8)


Similarly the average temperature of 65°C and 60°C is 62.5°C. The average temperature is 35.5°C above the room temperature. Then we can write


By diving both the equation, we get



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