Define the compressibility factor (Z) from (a) van der Waals equation and (b) Berthelot equation?



Answer:
From Wikipedia: (http://en.wikipedia.org/wiki/compressibi...

Z = PV' / RT

Where:

P is the pressure,
V' is the molar volume of the gas,
T is the temperature, and
R is the gas constant.

From ccl.net (http://www.ccl.net/cca/documents/dyoung/...

The ideal gas law: p V = n R T

p = absolute pressure (not gage pressure)
V = volume
n = amount of substance (usually in moles)
R = ideal gas constant
T = absolute temperature (not F or C)

the van der Waals equation: ( P + a / Vm2 )( Vm - b ) = R T

Where:
P = pressure
Vm = molar volume
R = ideal gas constant
T = temperature

the Berthelot equation: p = ( R T / V - b) - (a / T V2)

Where:
p = pressure
a = empirical constant
V = volume
R = ideal gas constant
b = empirical constant
T = temperature

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