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 $



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