Properties Of Solids And Liquids Question 112

Question: 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 [Kerala PET 2005]

Options:

A) 18.2ºC

B) 22ºC

C) 20.2ºC

D) 25.2ºC

Show Answer

Answer:

Correct Answer: C

Solution:

Heat gain = heat lost CA(16 -12) = CB (19 - 16)

therefore CACB = 34 and CB(23 - 19) = CC (28 - 23)

thereforeCBCC = 54

therefore CACC=1516 …(i) If q is the temperature when A and C are mixed then, CA(θ12) = CC(28θ)

therefore CACC

=28θθ12 …(ii) On solving equation (i) and (ii) q = 20.2ºC.



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