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Question

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(TtTs)
For, first decrease from 46 oC to 28 oC:
188=k(4610)k=1/16
For, second decrease from 28 oC to 19 oC:
9t=(116)(2810)t= 8 min

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