Question

The Clausius inequality holds good for

• A. any process
• B. any cycle
• C. only reversible process
• D. only reversible cycle

Hint:

The Clausius inequality holds for any thermodynamic cycle, and equality holds only for reversible cycles.

Answer 1

The Correct Option is B

The Clausius inequality is a fundamental principle in thermodynamics. It applies to all thermodynamic cycles and states that: \[ \int \frac{dQ}{T} \leq 0 \] Where \( dQ \) is the heat added to the system and \( T \) is the temperature. The equality holds only for reversible processes. However, the inequality holds for any thermodynamic cycle, whether reversible or irreversible. Therefore, the correct answer is (B), as the Clausius inequality is valid for any cycle, not just reversible ones. Final Answer:
\[ \boxed{(B)} \]