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Equal masses of three liquids A, Band C have temperatures 10°C, 25°C and 40°C respectively.. If A and B are mixed, the mixture has a temperature of 15°C. If B and C are mixed, the mixture has a temperature of 30°C. If A and Care mixed, the mixture will have a temperature of:

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a

29°C

b

25°C

c

20°C

d

16°C

answer is D.

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Detailed Solution

If A and B are mixedm×sA×(15-10)=m×sB×(25-15)⇒sA=2sBIf B and C are mixedm×sB×(30-25)=m×sC×(40-30)⇒sC=12sBIf A and C are mixedm×(2sB)×(θ-10)=m×(12sB)×(40-θ) ⇒ θ=16oC

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Equal masses of three liquids A, Band C have temperatures 10°C, 25°C and 40°C respectively.. If A and B are mixed, the mixture has a temperature of 15°C. If B and C are mixed, the mixture has a temperature of 30°C. If A and Care mixed, the mixture will have a temperature of: