Transmission Of Heat Question 170

Question: In Newton’s experiment of cooling, the water equivalent of two similar calorimeters is 10 gm each. They are filled with 350 gm of water and 300 gm of a liquid (equal volumes) separately. The time taken by water and liquid to cool from $ 70^{o}C $ to $ 60^{o}C $ is 3 min and 95 sec respectively. The specific heat of the liquid will be

Options:

A) 0.3 Cal/gm ´°C

B) 0.5 Cal/gm ´°C

C) 0.6 Cal/gm ´°C

D) 0.8 Cal/gm ´°C

Show Answer

Answer:

Correct Answer: C

Solution:

$ S _{l}=\frac{1}{m _{l}}[ \frac{t _{l}}{t _{W}}(m _{W}C _{W}+W)-W ] $

$ =\frac{1}{300}[ \frac{95}{3\times 60}(350\times 1+10)-10 ] $ =0.6 Cal/gm´°C