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# SLec7 - Why do the above formulas simplify in the case of...

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Why do the above formulas simplify in the case of ideal gas to these: (i.g.no V P) What is the meaning of this (ideal gas) formula: (expan.) Let us integrate them from some initial (same) state to some final state: Are the final states the same? We just heat the system? (P=co. vs. V=co.) Do you understand it?

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Let us discuss some additional issues related to the first law. Proof of inexactness of the differential for heat δ q (ideal gas): If it is exact, it must fulfill the Euler criterion, i.e. But the left side is ( U is exact and does not depend on V ideal gas) Thus δ q is inexact. We can “repair it” as follows Now we get so that δ q/T is exact differential (in a reversible process with ideal gas). Lecture 7: Comments to & problems for the First Law
Let us solve some problems: One mole of an ideal gas is reversibly heated at P=3 atm from T 1 =300 K to T 2 =500 K. We know that Find in this process. Solution:

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SLec7 - Why do the above formulas simplify in the case of...

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