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Q.

A body cools from 60∘C to 50∘C in 10 minutes. If the room temperature is 25∘C and assuming Newton’s law of cooling to hold good, the temperature of the body at the end of the next 10 minutes will be

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a

38.5∘C

b

40∘C

c

42.85∘C

d

45∘C

answer is C.

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Detailed Solution

According to Newton’s law of cooling α(T−T0), where T is the average temperature in the given time interval. Hence

(60−50)10α(60+502−25) and

  (50−T)10α(50+T2−25)

Solving we get, T = 42.85∘C

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