Ideal Gas (reversible Process)
The mathematical equation for an ideal gas undergoing a reversible (i.e., no entropy generation) adiabatic process is
where P is pressure, V is specific or molar volume, and
being the specific heat for constant pressure, being the specific heat for constant volume, is the adiabatic index, and is the number of degrees of freedom (3 for monatomic gas, 5 for diatomic gas).
For a monatomic ideal gas, and for a diatomic gas (such as nitrogen and oxygen, the main components of air) . Note that the above formula is only applicable to classical ideal gases and not Bose–Einstein or Fermi gases.
For reversible adiabatic processes, it is also true that
where T is an absolute temperature.
This can also be written as
Read more about this topic: Adiabatic
Famous quotes containing the words ideal and/or gas:
“The ideal of men and women sharing equally in parenting and working is a vision still. What would it be like if women and men were less different from each other, if our worlds were not so foreign? A male friend who shares daily parenting told me that he knows at his very core what his wife’s loving for their daughter feels like, and that this knowing creates a stronger bond between them.”
—Anonymous Mother. Ourselves and Our Children, by Boston Women’s Health Book Collective, ch. 6 (1978)
“Man moves in all modes, by legs of horses, by wings of winds, by steam, by gas of balloon, by electricity, and stands on tiptoe threatening to hunt the eagle in his own element.”
—Ralph Waldo Emerson (1803–1882)