The temperatures of equal masses of three different liquids A, B and C are 12 ºC, 19 ºC and 28 ºC respectively, The temperature when A and B are mixed is 16 ºC and when B and C are mixed is 23 ºC, what would be the temperature when A and C are mixed?
Text Solution
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Sol. 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 
(i)
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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