First slide

Radiation

Question

A body cools from 80°C to 64°C in 5 min and same body cools from 80°C to 52°C in 10 min. What is the temperature of the surrounding?

Moderate

A

24°C
B

22 °C
C

28 °C
D

25 °C

Solution

$(\frac{θ_{1} - θ_{2}}{t}) = K (\frac{θ_{1} + θ_{2}}{2} - θ_{0}) \frac{80 - 64}{5} = K (\frac{80 + 64}{2} - θ_{0}) \Rightarrow \Rightarrow (1) and \frac{80 - 52}{10} = K (\frac{80 + 52}{2} - θ_{0}) \Rightarrow \Rightarrow (2) d i v i d i n g e q u a t i o n s (1) b y (2) s o l v i n g f o r θ θ_{0} = 24^{0} C$

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