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:

Question

Infinity Learn · Accepted Answer

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$$=16oC$$

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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