Transmission Of Heat Question 193

Question: A liquid cools from 50 o C to 45 o C in 5 minutes and from 45 o C to 41.5 o C in the next 5 minutes. The temperature of the surrounding is

[BCECE 2004]

Options:

A) 27 o C

B) 40.3 o C

C) 23.3 o C

D) 33.3 o C

Show Answer

Answer:

Correct Answer: D

Solution:

$ \frac{50-45}{5}=K( \frac{50+45}{2}-{\theta _{0}} ) $ ?..(i) $ \frac{45-41.5}{5}=K( \frac{45+41.5}{2}-{\theta _{0}} ) $ ?..(ii) Solving equation (i) and (ii) we set $ {\theta _{0}}=33.3\ {}^\circ C $ .