1.

The temperature of equal masses of three different liquids A, B and C are 12^(@)C, 19^(@)C and 28^(@)C respectively. The temperature when A and B are mixed is 16^(@)C and when B and C are mixed is 23^(@)C. The temperature when A and C are mixed is

Answer»

`18 cdot 2^(@)C`
`20 cdot 2^(@)C`
`22^(@)C`
`24 cdot 2^(@)C`

Solution :When liquid A & B are mixed
`mS_(1)(16-12)=mS_(2)(19-16)`
`4S_(1)=3S_(2)`
when B and C are mixed
`mS_(2)(23-19)=mS_(3)(28-23)`
`4S_(2)=5S_(3)`
SOLVING (i) & (ii) `S_(1)=(3)/(4)S_(2)=(15)/(16)S_(3)`
when A and C are mixed, let `T^(@)C` be the equilibrium temp.
`mS_(1)(T-12)=mS_(3)(28-T)`
`(15)/(16)S_(3)(T-12)=S_(3)(28-T)`
on solving, `T=20 cdot 2^(@)C`
`therefore` Correct choice is (b).


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