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CGP EDU Academic Team
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
Text Solution
Verified by ExpertsThe 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].
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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