Properties Of Solids And Liquids Question 92
Question: A liquid of mass M and specific heat S is at a temperature 2t. If another liquid of thermal capacity 1.5 times, at a temperature of $ \frac{t}{3} $ is added to it, the resultant temperature will be [EAMCET (Engg.) 1999]
Options:
A) $ \frac{4}{3}t $
B) t
C) $ \frac{t}{2} $
D) $ \frac{2}{3}t $
Show Answer
Answer:
Correct Answer: B
Solution:
$ {\theta _{mix}}=\frac{m _{1}c _{1}{\theta _{1}}+m _{2}c _{2}{\theta _{2}}}{m _{1}c _{1}+m _{2}c _{2}} $
$ =\frac{ms(2t)+1.5(ms)\times \frac{t}{3}}{ms+1.5(ms)}=t $