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Question

In a surrounding medium of temperature of 10C, a body takes 7 min for a fall of temperature from 60C to 40C. In what time the temperature of the body will fall from 40C to 28C?

A
7 min
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B
11 min
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C
14 min
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D
21 min
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Solution

The correct option is B 7 min
Newton’s Law of Cooling states that the rate fall of temperature of the body is proportional to the difference between the temperature of the body and that of the surrounding medium.
Thus θ2θ1t=K(θ1+θ22θ0)
60407=K(60+40210)
and 4028t=K(40+28210)
Solving the two equations gives t=7min

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