The temperature of equal masses of three different liquids A, B and C are 12 ℃ , 19 ℃ and 28 ℃ respectively. The temperature when A and B are mixed is 16 ℃ and when B and C are mixed is 23 ℃ . The temperature when A and C are mixed is

Question

The temperature of equal masses of three different liquids A, B and C are 12 ℃ , 19 ℃ and 28 ℃ respectively. The temperature when A and B are mixed is 16 ℃ and when B and C are mixed is 23 ℃ . The temperature when A and C are mixed is, 18.2 ℃, 22 ℃, 20.2 ℃, 24.2 ℃

MARKS App · Accepted Answer

1 st case A and B mixed ms A t - t A = ms B t - t B s A ( 16 - 12 ) = s B ( 19 - 16 ) 4 s A = 3 s B 2 nd case B and C mixed m s B t - t B = m s C ( t C - t ) s B 23 - 19 = s C ( 28 - 23 ) 4 s B = 5 s C 3 s B = 15 4 s C ∴ 4 s A = 3 s B = 15 4 s C ⇒ 16 s A = 12 s B = 15 s C = k s A : s B : s C = 1 16 : 1 12 : 1 15 s A = k 16 , s C = k 15 3 rd Case When A and C are mixed m s A t - t A = m s C ( t C - t ) k 16 t - 12 = k 15 ( 28 - t ) 15 t - 180 = 448 - 16 t 31 t = 628 ⇒ t = 20.2 ℃

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