A body cools from 50oC to 45oC in 5 min and to 40oC in another 8 min. The temperature of the surrounding is
34o
30o
37o
43o
A
30o
B
34o
C
43o
D
37o
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Solution
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Newton's cooling law dθdt=−k(θ−θ0)
putting the given values of the situation in the formula we get:-
(50−45)5=−k(50−T)
=>1=−k(50−T) -----(1)
Now, cooling body at takes 8 min to reach 400C form 450C
(45−40)8=−k(45−T)
58=−k(45−T) ------(2)
Dividing the two equations, we get:
8(45−T)=5(50−T)
360−8T=250−5T
T=110/3=36.670C
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