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Boyles Law With Compressibility Factor


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#1 drawingtheline

drawingtheline

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Posted 20 December 2013 - 03:06 AM

Hi,

 

I have a graph of a gases Z compressibility factor which varies with pressure. 

 

How do I then apply this with boyles law when I am looking for P2.

 

ie P2 = P1V1/V2

 

Do i just multiply the result by Z2/Z1?

 

Thanks


Edited by drawingtheline, 20 December 2013 - 03:20 AM.


#2 katmar

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Posted 20 December 2013 - 06:10 AM

Work from the gas equation, i.e. PV = ZnRT

 

P1 = Z1nRT1 / V1    and similarly   P2 = Z2nRT2 / V2

 

so P2 / P1 = ???



#3 drawingtheline

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Posted 20 December 2013 - 07:34 AM

OK thanks;

 

With T1, T2, n, and R being constants, then;

 

P2/P1 = (Z2/Z1) * (V1/V2)

 

Which then means;

 

P2= (Z2/Z1) * (V1/V2) * P1






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