Questions

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

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a
5 minutes
b
Lesser than 5 minutes
c
Greater than 5 minutes
d
Lesser or greater than 5 minutes depending upon the density of the liquid
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detailed solution

Correct option is C

According to Newton's law of cooling,Rate of cooling ∞ mean temperature differenceInitially, mean temperature difference=70+602−θ0=65−θ0Finally, mean temperature difference=60+502−θ0=55−θ0In second case, mean temperature difference decreases, so rate of fall of temperature decreases. Thus, it takes more time to cool through the same range.

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A body cools down from 60°C to 55°C in 30 s. Using Newton’s law of cooling, calculate the approximate time taken by same body to cool down from 5 5°C
to 50°C. Assume that the temperature of surroundings is 45°C.

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