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 Process
Famous quotes containing the words ideal and/or gas:
“The tradition I cherish is the ideal this country was built upon, the concept of religious pluralism, of a plethora of opinions, of tolerance and not the jihad. Religious war, pooh. The war is between those who trust us to think and those who believe we must merely be led.”
—Anna Quindlen (b. 1952)
“Droning a drowsy syncopated tune,
Rocking back and forth to a mellow croon,
I heard a Negro play.
Down on Lenox Avenue the other night
By the pale dull pallor of an old gas light”
—Langston Hughes (1902–1967)