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Three liquids A, B and C having same spe...

Three liquids A, B and C having same specific heat and mass , 2m and 3m have temperatures `20^(@)C, 40^(@)C` and `60^(@)C` respectively. Temperature of the mixture when
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Text Solution

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The correct Answer is:
A, B, C, D
When A and B are mixed together
(m)(c)(`theta-20)` = (2m)(c) `(40^(@)-theta)`
or `theta=100/3 = 33.33^(@)`C
When A and C are mixed together
(m)(c)(`theta`-20)=(3m)(c)`(60^(@)-theta)` or `theta=50^(@)`C
When B and C are mixed together
(2m)(c)(`theta`-40) = (3m)(c)(`60^(@)-theta)rArr theta=52^(@)C`
When A, B and C all are mixed
(m)(c)(`theta`-20)+(2m)(c)(`60^(@)-theta`) = (3m)(c)(`60^(@)-theta)`
or `theta=40^(@)`C
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