Transmission Of Heat Question 196

Question: A body takes 5 minutes to cool from 90oC to 60oC. If the temperature of the surroundings is 20oC, the time taken by it to cool from 60oC to 30oC will be.

[RPMT 2003]

Options:

A) 5 min

B) 8 min

C) 11 min

D) 12 min

Show Answer

Answer:

Correct Answer: C

Solution:

$ \frac{90-60}{5}=k( \frac{90+60}{2}-20 ) $

Therefore $ 6=k\times 55 $

Therefore $ K=\frac{6}{55} $ And, $ \frac{60-30}{t}=\frac{6}{55}( \frac{60+30}{2}-20 ) $

Therefore t = 11 minute.