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:
“Any relation to the land, the habit of tilling it, or mining it, or even hunting on it, generates the feeling of patriotism. He who keeps shop on it, or he who merely uses it as a support to his desk and ledger, or to his manufactory, values it less.”
—Ralph Waldo Emerson (1803–1882)
“A theory of the middle class: that it is not to be determined by its financial situation but rather by its relation to government. That is, one could shade down from an actual ruling or governing class to a class hopelessly out of relation to government, thinking of gov’t as beyond its control, of itself as wholly controlled by gov’t. Somewhere in between and in gradations is the group that has the sense that gov’t exists for it, and shapes its consciousness accordingly.”
—Lionel Trilling (1905–1975)
“To criticize is to appreciate, to appropriate, to take intellectual possession, to establish in fine a relation with the criticized thing and to make it one’s own.”
—Henry James (1843–1916)
“All that is active, all that is enveloped in time and space, is endowed with what might be described as an abstract, ideal and absolute impermeability.”
—Samuel Beckett (1906–1989)
“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)
“What, then, is the true Gospel of consistency? Change. Who is the really consistent man? The man who changes. Since change is the law of his being, he cannot be consistent if he stick in a rut.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)