The temperature of a body falls from 46oC to 28oC in 8 minutes, when the body is placed in a surrounding of constant temperature of 10oC. Find the time taken by the body to reach 19oC.
A
10 min
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B
6 min
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C
8 min
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D
12 min
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Solution
The correct option is C 8 min Using Newton's law of cooling, dTdt=−k(Tt−Ts) For, first decrease from 46oC to 28oC: 188=−k(46−10)⇒k=−1/16 For, second decrease from 28oC to 19oC: 9t=−(−116)(28−10)⇒t= 8 min