Question:

A substance is carried out through the given transformations.
The equation \( \Delta S_1 + \Delta S_2 = \Delta S_3 + \Delta S_4 + \Delta S_5 \)

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State functions (S, H, U) depend only on initial and final states, not path.
Updated On: Apr 23, 2026
  • is true only if the steps are carried out reversibly
  • is always true because entropy is a state function
  • may be true but need more information
  • is incorrect
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The Correct Option is B

Solution and Explanation

Concept: Entropy ($S$) is a state function, meaning its change depends only on initial and final states, not on the path.

Step 1:
Identify paths: A → B → C and A → D → E → C represent different paths between same states.

Step 2:
Since entropy is a state function, total change is independent of path taken.

Step 3:
Hence, sum of entropy changes along both paths must be equal.
\[ \Delta S_1 + \Delta S_2 = \Delta S_4 + \Delta S_5 + \Delta S_3 \] Conclusion:
The given relation is always true.
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