Q.

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

Moderate

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By Expert Faculty of Sri Chaitanya

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

answer is 3.

(Detailed Solution Below)

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Detailed Solution

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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