The temperature of equal masses of three different liquids A, B and C are 12 
, 19 
and 28 
, respectively. The temperature when A and B are mixed is 16 
and when B and C are mixed is 23 
. The temperature when A and C are mixed, is
Text Solution
Verified by ExpertsC
When two liquids with different temperatures are mixed, heat is lost by the hotter
liquid to the cooler liquid.
Let, the mass of liquids 
and 
be 
. The specific heat capacities of liquids 
and 
be 
and 
.
For mixing of 
and 
:
Heat gained by liquid 
Heat lost by liquid 
(1)
For mixing of 
and 
:
Heat lost by liquid 
Heat gained by liquid 
On multiplying (1) and (2),
If 
is the final temperature when 
and 
are mixed then,
On solving equations (3) and (4),
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