Question:
The equation of the inequality of Clausius is:
The equation of the inequality of Clausius is:
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Clausius inequality: \(\oint \frac{dQ}{T} \leq 0\).
Equality for reversible, inequality for irreversible.
Equality for reversible, inequality for irreversible.
Updated On: Aug 18, 2026
- \(\oint \frac{dQ}{T} < 0\)
- \(\oint \frac{dQ}{T} \geq 0\)
- \(\oint \frac{dQ}{T} \leq 0\)
- \(\oint \frac{dQ}{T} > 0\)
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The Correct Option is C
Solution and Explanation
Step 1: Understanding the Concept:
Clausius inequality is a fundamental principle in thermodynamics.
It relates entropy and heat transfer.
Step 2: Key Formula or Approach:
Clausius inequality: \(\oint \frac{dQ}{T} \leq 0\).
Step 3: Detailed Explanation:
The Clausius inequality states that for any cyclic process:
\(\oint \frac{dQ}{T} \leq 0\).
The equality holds for reversible processes.
The inequality holds for irreversible processes.
Thus, the correct equation is \(\oint \frac{dQ}{T} \leq 0\).
Step 4: Final Answer:
The equation of the inequality of Clausius is \(\oint \frac{dQ}{T} \leq 0\).
Hence, the correct option is (C).
Clausius inequality is a fundamental principle in thermodynamics.
It relates entropy and heat transfer.
Step 2: Key Formula or Approach:
Clausius inequality: \(\oint \frac{dQ}{T} \leq 0\).
Step 3: Detailed Explanation:
The Clausius inequality states that for any cyclic process:
\(\oint \frac{dQ}{T} \leq 0\).
The equality holds for reversible processes.
The inequality holds for irreversible processes.
Thus, the correct equation is \(\oint \frac{dQ}{T} \leq 0\).
Step 4: Final Answer:
The equation of the inequality of Clausius is \(\oint \frac{dQ}{T} \leq 0\).
Hence, the correct option is (C).
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