The temperature of equal masses of three different liquids A, B and C are 12 0 C, 19 0 C and 28 0 C respectively. The temperature when A and B are mixed is 16 0 C. When B and C are mixed it is 23 0 C. The temperature when A and C are mixed will be -
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When A and B are mixed
ms A (16 – 12) = ms B (19 – 16) ; 4s A = 3s B .... (i)
when B and C are mixed ms B ;
(23–19)= ms C (28 – 23)
4s B = 5s C …….. (ii) By (i) and (ii)
16s A = 15s C When A and C are mixed
ms A ( θ –12) = ms C (28– θ )
⇒ s A ( θ –12) = 
s A (28 – θ )
15 θ – 180 = 448 – 16 θ
⇒ ∴ 31 θ = 628 ⇒ θ = 20.25° C
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