Thermodynamics
Clausius Inequality
Entropy change is at least Q/T. Equality holds for reversible processes.
Variables
ΔSJ/K
Entropy change
Change in entropy
QJ
Heat transfer
Heat added to system
TK
Temperature
Temperature of reservoir
Derivation
From second law: for irreversible processes, entropy generation > 0, so ΔS > Q/T.
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Common questions
What is the Clausius Inequality formula?
Clausius Inequality is written ΔS ≥Q/T. Entropy change is at least Q/T. Equality holds for reversible processes. It belongs to Thermodynamics, under Second Law.
What are the units in ΔS ≥Q/T?
In SI units, ΔS is entropy change, measured in kg·m²/(s²·K); Q is heat transfer, measured in kg·m²/s²; T is temperature, measured in K.
How is the Clausius Inequality formula derived?
From second law: for irreversible processes, entropy generation > 0, so ΔS > Q/T. The result is ΔS ≥Q/T.