First slide

Radiation

Question

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

Moderate

A

2.5 s
B

10 s
C

20 s
D

5 s

Solution

$\frac{50 - 49.9}{5} = k [\frac{50 + 49.9}{2} - 30] . . . . . . . . . . (1) \frac{40 - 39.9}{t} = k [\frac{40 + 39.9}{2} - 30] . . . . . . . . . . . . . (2) S o l v i n g, t = 10 s$

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