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, relation, ideal, gas and/or law:
“The proper study of mankind is man in his relation to his deity.”
—D.H. (David Herbert)
“There is a relation between the hours of our life and the centuries of time. As the air I breathe is drawn from the great repositories of nature, as the light on my book is yielded by a star a hundred millions of miles distant, as the poise of my body depends on the equilibrium of centrifugal and centripetal forces, so the hours should be instructed by the ages and the ages explained by the hours.”
—Ralph Waldo Emerson (1803–1882)
“For most Northerners, Texas is the home of real men. The cowboys, the rednecks, the outspoken self-made right-wing millionaires strike us as either the best or worst examples of American manliness.... The ideal is not an illusion nor is it contemptible, no matter what damage it may have done. Many people who scorn it in conversation want to submit to it in bed. Those who believe machismo reeks of violence alone choose to forget it once stood for honor as well.”
—Edmund White (b. 1940)
“Papa died in the gas chamber,
slipping blue as an undressed minnow,
gulping in the shower to wash the Jew off him.”
—Anne Sexton (1928–1974)
“The shallow consider liberty a release from all law, from every constraint. The wise man sees in it, on the contrary, the potent Law of Laws.”
—Walt Whitman (1819–1892)