Discussion
Consider the following statements about exact differentials.
1. A property change is independent of the path taken.
2. Work and heat are not properties and their differentials are inexact.
3. The cross derivatives of an inexact differential are equal.
Answer: A
Correct answer: 1 and 2 only
Statements 1 and 2 are correct: a property change depends only on the end states, which is what makes its differential exact, while heat and work depend on the path and theirs are inexact. Statement 3 has the test the wrong way round - equality of the cross second derivatives is precisely what identifies an *exact* differential, and it is the basis of the Maxwell relations.
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