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A : The energy of the universe is consta...

A : The energy of the universe is constant, whereas the entropy of the universe is continuously increasing.
R : For spontaneous process `Delta S gt 0`.

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion , then mark (1)

B

If both Assertion & Reason are true and the reason is not the correct explanation of the assertion, then mark (2)

C

If Assertion is true statement but Reason is false, then mark (3)

D

If both Assertion is true statement but Reason is false, then mark (3)

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the Assertion (A) and Reason (R), we will analyze both statements step by step. ### Step 1: Analyze the Assertion (A) The assertion states: "The energy of the universe is constant, whereas the entropy of the universe is continuously increasing." - **Energy Conservation**: According to the first law of thermodynamics, energy cannot be created or destroyed; it can only be transformed from one form to another. This means that the total energy of an isolated system (like the universe) remains constant. - **Entropy Increase**: The second law of thermodynamics states that in an isolated system, the total entropy (a measure of disorder) tends to increase over time. This means that while energy is conserved, the entropy of the universe is always increasing. **Conclusion for Assertion (A)**: The assertion is true. ### Step 2: Analyze the Reason (R) The reason states: "For a spontaneous process, ΔS > 0." - **Spontaneous Processes**: A spontaneous process is one that occurs without external intervention. According to the second law of thermodynamics, for a process to be spontaneous, the change in entropy (ΔS) of the universe must be greater than zero. This can be expressed as: \[ ΔS_{universe} = ΔS_{system} + ΔS_{surroundings} > 0 \] This means that the total change in entropy, which includes both the system and its surroundings, must be positive for the process to be spontaneous. **Conclusion for Reason (R)**: The reason is also true. ### Final Conclusion Both the assertion and the reason are true. Therefore, the correct answer is that both statements are true. ---
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