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Question

A liquid cools down from 70o C to 60o C in 5 minutes. The time taken to cool it from 60o C to 50o C will be
 



A

5 minutes

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B

Lesser than 5 minutes

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C

Greater than 5 minutes

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D

Lesser or greater than 5 minutes depending upon the density of the liquid

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Solution

The correct option is D

Greater than 5 minutes


According to Newton's law of cooling
Rate of cooling μ mean temperature difference. Initially, mean temperature difference
=(70+602)=(65θ0)
Finally, mean temperature difference
=(60+502)=(55θ0)
In second case mean temperature difference decreases, so rate of fall of temperature decreases, so it takes more time to cool through the same range.


Physics

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