Ideal gas undergoes cycle process

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SUMMARY

An ideal gas undergoes a cycle process represented in a PV graph, demonstrating the relationship between pressure (p), volume (V), and temperature (T) as defined by the equation pV = nRT. The upper graph illustrates linear relationships between temperature and pressure, indicating constant volume, which results in vertical lines in the p-V graph. In contrast, the lower graph fails to meet these criteria, as it does not maintain the necessary conditions for an ideal gas during the cycle process.

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  • Understanding of the ideal gas law (pV = nRT)
  • Familiarity with PV diagrams and their interpretation
  • Knowledge of thermodynamic processes and cycles
  • Basic principles of gas behavior under varying conditions
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  • Explore the characteristics of isothermal and adiabatic processes in PV diagrams
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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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