Equal masses of three liquids A, B and C have temperatures $$100C$$, $$250C$$ and $$400C$$, respectively. If A and B are mixed, the mixture has a temperature of $$150C$$. If B and C are mixed, the mixture has a temperature of $$300C$$. If A and C are mixed, the mixture will have a temperature of

Question

Equal masses of three liquids A, B  and C have temperatures $$100C$$, $$250C$$ and $$400C$$, respectively. If A and B are mixed, the mixture has a temperature of $$150C$$. If B and C are mixed, the mixture has a temperature of $$300C$$. If A and C are mixed, the mixture will have a temperature of

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When A and B are mixed,$$mcA(15$$−$$10)=mcB(25$$−$$15)$$ or $$cAcB=2$$                      …(i)When$$ B and C are mixed,$$mcB(30$$−$$25)=mcC(40$$−$$30) or $$cBcC=2$$                   …(ii)From$$ Eqs. $$(i) and (ti), we get $$cAcC=4Now$$, let  θ be the equilibrium temperature when A and C are mixed.Then,   $$mcA($$θ−$$10)=mcC(40$$−θ$$)$$ or    $$4($$θ−$$10)=40$$−θ Using⁡$$cAcC=4or$$    θ$$=16$$∘C

Equal masses of three liquids A, B and C have temperatures 10⁰C, 25⁰C and 40⁰C, respectively. If A and B are mixed, the mixture has a temperature of 15⁰C. If B and C are mixed, the mixture has a temperature of 30⁰C. If A and C are mixed, the mixture will have a temperature of

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Equal masses of three liquids A, B and C have temperatures 100C, 250C and 400C, respectively. If A and B are mixed, the mixture has a temperature of 150C. If B and C are mixed, the mixture has a temperature of 300C. If A and C are mixed, the mixture will have a temperature of

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Equal masses of three liquids A, B and C have temperatures 10⁰C, 25⁰C and 40⁰C, respectively. If A and B are mixed, the mixture has a temperature of 15⁰C. If B and C are mixed, the mixture has a temperature of 30⁰C. If A and C are mixed, the mixture will have a temperature of