Properties Of Solids And Liquids Question 37
Question: A liquid of mass m and specific heat c is heated to a temperature 2T. Another liquid of mass m/2 and specific heat 2c is heated to a temperature T. If these two liquids are mixed, the resulting temperature of the mixture is [EAMCET 1992]
Options:
A) (2/3)T
B) (8/5)T
C) (3/5)T
D) (3/2)T
Show Answer
Answer:
Correct Answer: D
Solution:
Temperature of mixture $ {\theta _{mix}}=\frac{m _{1}c _{1}{\theta _{1}}+m _{2}c _{2}{\theta _{2}}}{m _{1}c _{1}+m _{2}c _{2}}=\frac{m\times c\times 2T+\frac{m}{2}(2c)T}{m.c+\frac{m}{2}(2c)}=\frac{3}{2}T $
