Transmission Of Heat Question 195

Question: The temperature of a body falls from 62oC to 50oC in 10 minutes. If the temperature of the surroundings is 26oC, the temperature in next 10 minutes will become

[RPMT 2002]

Options:

A) 42oC

B) 40oC

C) 56oC

D) 55oC

Show Answer

Answer:

Correct Answer: A

Solution:

$ \frac{62-50}{10}=K( \frac{62+50}{2}-26 ) $

Therefore $ \frac{6}{5}=K\times 30 $

Therefore $ K=\frac{1}{25} $ And, $ \frac{50-\theta }{10}=\frac{1}{25}( \frac{50+\theta }{2}-26 ) $

Therefore $ \theta =42{}^\circ $ C.