Undergrad How do you find Z when the temperature line ends on the compressibility chart?

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To find the compressibility factor Z when the temperature line ends on the compressibility chart, one must consider the limits of the chart and the implications of the saturated vapor line. When Pr and Tr are both less than 1.0, the system may not be in a saturated vapor state, making the use of the equation Pv=ZRT inappropriate. The discussion highlights that the dashed line on the chart represents the pseudo reduced specific volume, which aids in understanding phase behavior. Additionally, the value of Tr at Pr=0.4 and Z=0.6 is identified as 0.86. Understanding these concepts is crucial for accurate thermodynamic calculations.
zachdr1
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How do you find a value for Z using the compressibility chart when the temperature line you're trying to use ends?

For example, if you look at the compressibility chart and try to find a value for z with P_r = .75 and T_r = .96, you will notice that the line for T_r = .95 ends well before the pressure of .75. How do you find a value for Z in this situation?
 
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How many phases do you have to deal with when Pr, Tr are less than 1.0?
 
Bystander said:
How many phases do you have to deal with when Pr, Tr are less than 1.0?
1
 
Z.PNG
 
zachdr1 said:
Why do the Tr lines stop increasing in Pr after a while?
What do you think the dashed line in the figure represents?
 
Chestermiller said:
What do you think the dashed line in the figure represents?
the psuedo reduced specific volume

edit: i just realized you meant the saturated vapor line, anything below that line isn't a saturated vapor so I am assuming you can't use Pv=ZRT?

So if I asked you what the value for Tr is at Pr= .4 and Z=.6, what would your response be? This isn't a homework question by the way I just want to know what your response would be.
 
zachdr1 said:
the psuedo reduced specific volume

edit: i just realized you meant the saturated vapor line, anything below that line isn't a saturated vapor so I am assuming you can't use Pv=ZRT?

So if I asked you what the value for Tr is at Pr= .4 and Z=.6, what would your response be? This isn't a homework question by the way I just want to know what your response would be.
0.86
 

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