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:
“And into the gulf between cantankerous reality and the male ideal of shaping your world, sail the innocent children. They are right there in front of us—wild, irresponsible symbols of everything else we can’t control.”
—Hugh O’Neill (20th century)
“one pale woman all alone,
The daylight kissing her wan hair,
Loitered beneath the gas lamps’ flare,
With lips of flame and heart of stone.”
—Oscar Wilde (1854–1900)