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42 EXAMPLE
Problems using Newton's Law of cooling
A body cools from 70°C to 50°C in 5 minutes. Temperature of
surroundings is 20° C. Its temperature after next 10 minutes is
Newton's cooling law-=-k(8-6)
putting the given values of the situation in the formula we get:-
(70 - 50)
dt
--k(70 - 20)
20
k(50)
2
25
now, cooling body at 50°C for 10 min
let temperature after 10 min be T
(50-2) (50-20)
25
(50-T)12
10
10
50-T-24
T- 5024
T=26) C
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