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Non-Ideal Gas (van der Waals equation)
An equation of state for a non-ideal which is commonly used is the van der Waals equation
for 1 mol of gas
P = (R*T)/(V-b) - a/(V^2)
The a and b values are
Ideal Gas: a = 0, b = 0 (so it reduces to ideal gas equation)
Nitrogen: a = 16.4349 b = 0.0386
Oxygen: a = 16.5896 b = 0.0318
Gas
Individual Gas Constant
SI Units
(J·kg-1·K-1)
Air 286.9
Nitrogen
(N2)
296.8
Oxygen
(O2)
259.8
1. For T=300 K and V=10L, calculate the pressure for nitrogen and oxygen and compare
the results with ideal gas.
2. Plot the pressure for oxygen & nitrogen for a range of volumes from 0.1L to 10L (in
steps of 0.05L) and compare to ideal gas.
3. Plot the ratio of the pressure of nitrogen to oxygen and note what happens as the gas is
compressed to about 1 L. Discuss your findings.
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