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

Options

  1. A18.2 o C
  2. B22 o C
  3. C20.2 o C
  4. D25.2 o C

Correct answer

C. 20.2 o C

Step-by-step solution

Heat gain = heat lost C A ( 16 − 12 ) = C B ( 19 − 16 ) ⇒ C A C B = 3 4 and C B ( 23 − 19 ) = C C ( 28 − 23 ) ⇒ C B C C = 5 4 ⇒ C A C C = 15 16 …(i) If θ is the temperature when A and C are mixed then, C A ( θ − 12 ) = C C ( 28 − θ ) ⇒ C A C C = 28 − θ θ − 12 … (ii) On solving equations (i) and (ii) θ = 20.2 o C

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