Question
Download Solution PDFStatement (I): The Inequality of Clausius provides the criterion of the reversibility of a cycle.
Statement (II): \( \mathop \oint \nolimits \frac{{\delta Q }}{T} > 0\) the cycle is irreversible and possible
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Entropy:
- Entropy is the index of unavailability or degradation of energy. Heat always flows from hot bodies to cold bodies and this becomes degrades or less available.
- For a reversible transfer of heat change in entropy
\({\rm{\Delta }}s = {s_2} - {s_1} = \mathop \smallint \nolimits \frac{{dQ}}{t}\) where, s = entropy, Q = heat, T = temperature
- No process between two equilibrium states is possible if it would result in a decrease in the total entropy of the system and surroundings.
Clausius Inequality:
- Clausius inequality states that \(\oint \frac{{{\rm{dQ}}}}{{\rm{T}}} \le 0\)
- It provides the criteria for the reversibility of a cycle.
- If \(\oint \frac{{{\rm{dQ}}}}{{\rm{T}}} = 0\), the cycle is reversible,
- If, \(\oint \frac{{{\rm{dQ}}}}{{\rm{T}}} < 0\), the cycle is irreversible and possible
- If \(\oint \frac{{\partial Q}}{T} > 0\), the cycle is impossible
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