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Question

A body cools from 50C to 40C in 5 minutes. The surrounding temperature is 20C. In what further time (in minutes) will it cool to 30C

A
5
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B
25/3
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C
15/2
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D
10
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Solution

The correct option is B 25/3
From newton's law of cooling
ΔθΔt=K[¯θθ0]
50405=k[50+40220]
105=k[4520] ...(i)
4030t=k[40+30220]
10t=k[3520] ...(ii)
Divide (i) by (ii)
t5=2515
t=253 minute
Hence, option (B) is correct.

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