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Question: Answered & Verified by Expert
The temperature of equal masses of three different liquids A, B and C are 12 oC, 19 oC and 28 oC respectively. The temperature when A and B are mixed is 16 oC and when B and C are mixed is 23 oC. The temperature when A and C are mixed is
PhysicsThermodynamicsJEE Main
Options:
  • A 18.2 oC
  • B 22 oC
  • C 20.2 oC
  • D 25.2 oC
Solution:
2527 Upvotes Verified Answer
The correct answer is: 20.2 oC
Heat gain = heat lost

C A ( 1612 )= C B ( 1916 ) C A C B = 3 4 and C B ( 2319 )= C C ( 2823 ) 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 ( θ12 )= C C ( 28θ )

C A C C = 28θ θ12 … (ii)

On solving equations (i) and (ii) θ= 20.2  o C

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