Understanding Internal Energy: Path Dependence and Point Functions

AI Thread Summary
Internal energy (U) is a point function that depends only on the initial and final states of a system, not on the path taken between them. The discussion clarifies that changes in internal energy can be measured, but the absolute value of internal energy cannot be determined. The book referenced contains inaccuracies regarding the nature of internal energy, which has raised concerns among users. Despite these errors, the book remains a valuable resource for engineering entrance and GRE Physics exam preparation. Understanding these concepts is crucial for accurate application in thermodynamics.
Amith2006
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Sir,
I have a doubt. The internal energy U is a unique function of any state because change in U ___________. I think the answer is internal energy U is a unique function of any state because change in U does not depend upon path.U is a point function. But the given in book is " U depends upon path". Please clear this doubt.
 
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You're absolutely right.

The change in the internal energy depends only on the inital and final states and does not depend on the path.

Also, the internal energy isn't even a unique function of the state properties. We can never measure the absolute internal energy of a state. We can only measure the changes in internal energy. So the question is doubly wrong.

What book are you using? I'm suprised that there is such an apalling error.
 
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Sir,
I am using a book prescribed for engineering entrance. I feel it may be useful for my GRE Physics exam. Though some of the answers may be wrong, I get so many questions from it. Thank you for your help Sir.
 
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