A body cools from 50.0°C to 49.9°C in 5 s. How long will it take to cool from 40.0°C to 39.9°C ? Assume the temperature of surroundings to be 30.0°C and Newton's law of cooling to be valid
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a
2.5 s
b
10 s
c
20 s
d
5 s
answer is B.
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Detailed Solution
50-49.95=k[50+49.92-30] ..........1 40-39.9t=k[40+39.92-30] .............2 Solving , t=10 s
A body cools from 50.0°C to 49.9°C in 5 s. How long will it take to cool from 40.0°C to 39.9°C ? Assume the temperature of surroundings to be 30.0°C and Newton's law of cooling to be valid