Charles's Law - Relation To The Ideal Gas Law

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, p0V0267+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 nRp 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:

    Only in a house where one has learnt to be lonely does one have this solicitude for things. One’s relation to them, the daily seeing or touching, begins to become love, and to lay one open to pain.
    Elizabeth Bowen (1899–1973)

    In relation to God, we are like a thief who has burgled the house of a kindly householder and been allowed to keep some of the gold. From the point of view of the lawful owner this gold is a gift; From the point of view of the burglar it is a theft. He must go and give it back. It is the same with our existence. We have stolen a little of God’s being to make it ours. God has made us a gift of it. But we have stolen it. We must return it.
    Simone Weil (1909–1943)

    Art should exhilarate, and throw down the walls of circumstance on every side, awakening in the beholder the same sense of universal relation and power which the work evinced in the artist, and its highest effect is to make new artists.
    Ralph Waldo Emerson (1803–1882)

    The difference between the actual and the ideal force of man is happily figured in by the schoolmen, in saying, that the knowledge of man is an evening knowledge, vespertina cognitio, but that of God is a morning knowledge, matutina cognitio.
    Ralph Waldo Emerson (1803–1882)

    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)

    The inevitableness, the idealism, and the blessing of war, as an indispensable and stimulating law of development, must be repeatedly emphasized.
    Friedrich Von Bernhardi (1849–1930)