- #1
Mordred
- 2,121
- 111
The ideal gas has the following requirements.
1) there are no intermolecular forces between the molecules.
2) the volume of the gas is negligible compared to the volume of the container they occupy.
3) the interactions between the particles and the container is perfectly elastic (total kinetic energy is conserved).
equation of state for an ideal gas is given by pV=nRT
given that the compression factor is the ratio of the molar volume of the real gas Vm to the molar volume of the ideal gas Vmo at the same pressure and temperature.
Z=compression factor
Z=Vm\Vmo
where Z=1, ideal gas behavior
Z<1, attractive forces dominate volume of gas is less than an ideal gas
Z>1, repulsive forces dominate volume of gas is greater than an ideal gas.
Thus far I understand the above, however the above define the gas in a container, I know that the ideal gas laws have been applied in Cosmology applications but I am unclear of how they apply the container portion described above.
Does anyone have any good articles that cover ideal gas law applications specifically in Cosmology usage? Also any material covering rate of diffusion of an ideal gas in an open system would also be handy.
edit:also articles detailing Gibb's law would also help, as I already understand how the FLRW equations of state can be used to describe the thermodynamics of the universe. However I would like to correlate that to Gibbs law described below
Tds=d(pV)+PdV
1) there are no intermolecular forces between the molecules.
2) the volume of the gas is negligible compared to the volume of the container they occupy.
3) the interactions between the particles and the container is perfectly elastic (total kinetic energy is conserved).
equation of state for an ideal gas is given by pV=nRT
given that the compression factor is the ratio of the molar volume of the real gas Vm to the molar volume of the ideal gas Vmo at the same pressure and temperature.
Z=compression factor
Z=Vm\Vmo
where Z=1, ideal gas behavior
Z<1, attractive forces dominate volume of gas is less than an ideal gas
Z>1, repulsive forces dominate volume of gas is greater than an ideal gas.
Thus far I understand the above, however the above define the gas in a container, I know that the ideal gas laws have been applied in Cosmology applications but I am unclear of how they apply the container portion described above.
Does anyone have any good articles that cover ideal gas law applications specifically in Cosmology usage? Also any material covering rate of diffusion of an ideal gas in an open system would also be handy.
edit:also articles detailing Gibb's law would also help, as I already understand how the FLRW equations of state can be used to describe the thermodynamics of the universe. However I would like to correlate that to Gibbs law described below
Tds=d(pV)+PdV
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