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Physics Thermometry, Thermal Expansion and Calorimetry Mix MCQ (Single Correct)

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

A
18.2ºC
B
22ºC
C
20.2ºC
D
25.2ºC

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Text Solution

Verified by Experts
The correct answer is:
C

Heat gain = heat lost

C A (16 –12) = C B (19 – 16) ⇒ ⇒ =

and C B (23 – 19) = C C (28 – 23) ⇒ ⇒ =

⇒ ⇒ ...(i)

If θ θ is the temperature when A and C are mixed then,

= ⇒ ⇒ ...(ii)

On solving equation (i) and (ii) θ θ = 20.2ºC.

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