Relation To The Ideal Gas Law
French physicist Émile Clapeyron combined Charles's law with Boyle's law in 1834 to produce a single statement which would become known as the ideal gas law. Claypeyron's original statement was:
where t is the Celsius temperature; and p0, V0 and t0 are the pressure, volume and temperature of a sample of gas under some standard state. The figure of 267 came directly from Gay-Lussac's work: the modern figure would be 273.15. For any given sample of gas, p0V0⁄267+t0 is a constant (Clapeyron denoted this constant R, and it is closely related to the modern gas constant); if the pressure is also constant, the equation simplifies to
as required.
The modern statement of the ideal gas law is:
where n is the amount of substance of the gas sample; and R is the gas constant. The amount of substance is constant for any given gas sample so, at constant pressure, the equation rearranges to:
where nR⁄p is the constant of proportionality.
An ideal gas is defined as a gas which obeys the ideal gas law, so Charles' law is only expected to be followed exactly by ideal gases. Nevertheless, it is a good approximation to the behaviour of real gases at relatively high temperatures and relatively low pressures.
Read more about this topic: Charles's Law
Famous quotes containing the words relation to the, relation to, relation, ideal, gas and/or law:
“Unaware of the absurdity of it, we introduce our own petty household rules into the economy of the universe for which the life of generations, peoples, of entire planets, has no importance in relation to the general development.”
—Alexander Herzen (1812–1870)
“The whole point of Camp is to dethrone the serious. Camp is playful, anti-serious. More precisely, Camp involves a new, more complex relation to “the serious.” One can be serious about the frivolous, frivolous about the serious.”
—Susan Sontag (b. 1933)
“The difference between objective and subjective extension is one of relation to a context solely.”
—William James (1842–1910)
“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)
“It is the way unseen, the certain route,
Where ever bound, yet thou art ever free;
The path of Him, whose perfect law of love
Bids spheres and atoms in just order move.”
—Jones Very (1831–1880)