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A certain amount of fluid at temperature T1 is mixed with an equal amount of the same fluid at temperature T2 in an insulated container with total fluid as the system, consider the following statements
I. Energy of the system is conserved
II. Entropy of the system is conserved
III. Entropy of the system increases
IV. Entropy of the system decreases
Q. Which of the above statements is/are true?
  • a)
    I and II
  • b)
    I and lII
  • c)
    I and IV
  • d)
    I only
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A certain amount of fluid at temperature T1 is mixed with an equal amo...
Explanation:

The process described is a mixing process of two fluids in an insulated container. The following statements are true for this process:

Energy Conservation:
- Energy is conserved as there is no external work or heat transfer involved in the process. The system is insulated, so there is no heat transfer between the system and the surroundings. This statement is true.

Entropy Conservation:
- Entropy is not conserved as there is an increase in entropy due to the mixing of two fluids. The system moves towards equilibrium, and the mixing of fluids increases the randomness and disorder of the system. This statement is false.

Entropy Increase:
- Entropy increases due to the mixing of fluids. The increase in entropy is due to the mixing of two fluids, which increases the total number of microstates of the system, resulting in an increase in entropy. This statement is true.

Entropy Decrease:
- Entropy does not decrease in this process as the mixing of two fluids always results in an increase in entropy. This statement is false.

Therefore, the correct statements are I and III, and the answer is option B.
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A certain amount of fluid at temperature T1 is mixed with an equal amount of the same fluid at temperature T2 in an insulated container with total fluid as the system, consider the following statementsI. Energy of the system is conservedII. Entropy of the system is conservedIII. Entropy of the system increasesIV. Entropy of the system decreasesQ.Which of the above statements is/are true?a)I and IIb)I and lIIc)I and IVd)I onlyCorrect answer is option 'B'. Can you explain this answer?
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