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Heat transfer-Radiation

Question

A body cools down from 60°C to 55°C in 30 s. Using Newton’s law of cooling, calculate the approximate time taken by same body to cool down from 5 5°C
to 50°C. Assume that the temperature of surroundings is 45°C.

Moderate
Solution

 According to Newton’s law of cooling
θ1θ2t=Kθ1+θ22θ0
605530=K60+55245……………(i)
Similarly, for 2nd case,
5550t=K55+50245……………(ii)
Dividing Eq. (i) by Eq. (ii), we get, t = 50



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