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ragha vendra Grade: 12
        

how to express compressibility factor in terms of critical  pressure and critical volume

6 years ago

Answers : (2)

AKASH GOYAL AskiitiansExpert-IITD
419 Points
										

Dear Student


 


Z=\frac{p \tilde{V}}{R T}

 


where, p is the pressure, \tilde{V} is the molar volume of the gas, T is the temperature, and R is the gas constant.


For an ideal gas the compressibility factor is Z = 1 per definition


The reduced temperature and pressure are defined as:


  T_r = \frac{T}{T_c}  and  P_r = \frac{P}{P_c}


Tc and Pc are known as the critical temperature and critical pressure of a gas. They are characteristics of each specific gas with Tc being the temperature above which it is not possible to liquify a given gas and Pc is the minimum pressure required to liquify a given gas at its critical temperature.


 T_r = \frac{T}{T_c + 8} and  P_r = \frac{P}{P_c + 8}


 


now you can eliminate T and P and put in terms of critical temp and pressure.


 


All the best.                                                           


AKASH GOYAL


AskiitiansExpert-IIT Delhi


 


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6 years ago
vikas askiitian expert
510 Points
										

Pc = a/27b2 , Tc = 8a/27Rb , Vc = 3b


a,b are vanderwalls equation constants


Z = PV/RT = 3/8

6 years ago
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