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The Kelvin-Planck and Clausius statements are:

AEquivalent
BDifferent
COpposite
DUnrelated
Answer & Solution
Correct answer: A. Equivalent
1. One denies a perfect engine, the other a perfect refrigerator. 2. Either can be derived from the other. 3. So the two statements are completely equivalent. _Source: syllabus Physics Part II, Chapter 12, Thermodynamics._
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