Respuesta :
The temperature and pressure at which methane will have a similar z IS 173.22 K and 91.75 bar.
What is compressibility factor ?
The compressibility factor (Z) is a useful thermodynamic property for modifying the ideal gas law to account for behavior of real gases.
It is a measure of how much the thermodynamic properties of a real gas deviate from those expected of an ideal gas.
For water ,
[tex]\rm T_{c} = 647.1K\\P_{c} = 220.55 bar[/tex]
For methane
[tex]\rm T_{c} = 190.6K\\P_{c} = 45.99 bar[/tex]
Given water at 712 K & 44MPa
= 712 K & 440 bar and z » 0. 38
[tex]\rm T_{r} = \dfrac{T}{ T_{c} } \\\\\\\dfrac {647.1}{712}= 0.9088\\\\\rm P_{r} = \dfrac{P}{ P_{c} }\\\\\\\dfrac {440}{220.55}= 1.995\\\\[/tex]
Using principle of corresponding states, for methane
z » 0. 38
[tex]\rm T_{r} = 0.9088\\\\ P_{r} = 1.995\\[/tex]
[tex]\rm T = T_{r} T_{c} = 0.9088 \times 190.6 = 173.217\; K\\P = P_{r} P_{c} = 1.995\times 95.99 = 91.75\;bar[/tex]
The temperature and pressure at which methane will have a similar z IS 173.22 K and 91.75 bar.
To know more about compressibility factor
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