Ideal gas undergoes cycle process

AI Thread Summary
The discussion centers on the behavior of an ideal gas undergoing a cyclic process as represented in a PV graph. The upper graph shows linear relationships between temperature and pressure, indicating constant volume, which results in vertical lines in the PV graph. In contrast, the lower graph does not maintain these relationships, leading to confusion about its validity. The ideal gas law, pV = nRT, supports the conclusions drawn from the upper graph. Understanding these relationships is crucial for accurately interpreting the gas's behavior in the cycle process.
b_andries
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Hi,

An amount of ideal gas undergoes the folowing cycle process in the following graph:

attachment.php?attachmentid=33655&stc=1&d=1301348391.jpg


This process can be presented by the following PV-graph :
attachment.php?attachmentid=33656&stc=1&d=1301348391.jpg


The answer has to be the upper graph but why can't it be the lower graph ?
Thank you!
 

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An ideal gas has: p V = n R T

That is: V = n R T / p

As you can see in the upper graph there are linear relations between T and p, meaning V must be constant, resulting in vertical lines in the p-V-graph.
Note that the diagonal lines in the upper graph can be extended to intersect the axes at the origin.
 

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