See also Non-ideal gas - Van der Waal's equation and constants , used to correct for non-ideal behavior of gases caused by intermolecular forces and the volume occupied by the gas particles and how to calculate total pressure and partial pressures from Ideal gas law
Example: The Ideal Gas Law
A tank with volume of 1 ft 3 is filled with air compressed to a gauge pressure of 50 psi. The temperature in tank is 70 o F .
The air density can be calculated with a transformation of the ideal gas law (5) to:
ρ = p / (R T) (7)
ρ = ((50 [lb/in 2 ]+ 14.7 [lb/in 2 ])*144 [in 2 /ft 2 ]) / (1716 [ft.lb/slug. o R]* (70+ 460)[°R])
= 0.0102 [slugs/ft 3 ]
The weight of the air is the product of specific weight and the air volume. It can be calculated as:
w = ρ g V (8)
w = 0.0102 [slugs/ft 3 ] * 32.2 [ft/s 2 ]*1 [ft 3 ]
= 0.32844 [slugs ft/s 2 ]
= 0.32844 [lb]
The Ideal Gas Law is accurate only at relatively low pressures and high temperatures. To account for deviation from the ideal situation an other factor is included. It is called the Gas Compressibility Factor, or Z-factor. This correction factor is dependent on pressure and temperature for each gas considered.
The True Gas Law, or the Non-Ideal Gas Law, becomes:
P V = Z n R T (7)
Z = Gas Compressibility Factor
n = number of moles of gas present
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