Home Physics Thermodynamics Mix Three liquids A, B and C are in three separa…
Physics Thermodynamics Mix Matrix Match Questions
Published on: September 12, 2026

Three liquids A, B and C are in three separate containers. Temperature at A, B and C are 10ºC, 15ºC and 20ºC. Mass of each liquid is same. Relation among specific heat capacity of A, B and C are S A = 2S B = 4S C

Column-I

Column-I

(i) Thermal energy of A changes

[A] When liquid A and

B are mixed

(ii) Thermal energy

of B changes

[B] When liquid A and

C are mixed

(iii) Final

temperature is

[C] When liquid B and

C are mixed

(iv) Final

temperature is

[D]When all three

liquids remixed

Correct Matrix Matching

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Text Solution

Verified by Experts
The correct answer is:
C
To determine the correct options based on the thermal energy changes and final temperatures, we proceed as follows:

Step 1: Understand the specific heat capacities of the liquids:
Let the specific heat capacity of liquid C be SC. Then:
SA = 2SB = 4SC
Therefore, expressed in terms of SC, we get:
SA = 8SC, SB = 4SC, SC = SC.

Step 2: Analyze thermal energy changes in each case:
(i) When A and B are mixed:
The final temperature will not be extremely high due to A's lower heat capacity.

(ii) When B and C are mixed:
They both have moderate heat capacities, the final temperature will shift upwards significantly. Thus, this option is plausible but requires further evaluation.

(iii) Final temperature when all are remixed:
This will yield a temperature that averages their contributions, likely higher than both previous mixes but needs precise calculation.

(iv) Final temperature for B and C:
Given B is warmer and has more specific heat than A, the final temperature will pull towards C, ultimately leading us to understand that B and C's mixture raises the temperature effectively.

Conclusion: Based on the analysis, option [C] (B and C mixed) leads to a final temperature that is most relevant to our evaluations. Therefore, the correct choice for the final temperature is [C].

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