Charles' Law -- from Eric Weisstein's World of Physics

Wolfram Research scienceworld.wolfram.com Other Wolfram Sites
Search Site



Charles' Law

This entry contributed by Dana Romero

Portions of this entry contributed by David Rovnyak

In 1787, French physicist Jacques Charles Eric Weisstein's World of Biography observed that the volume of a gas under constant pressure increases or decreases with temperature. This behavior was quantified around 1808 by another French scientist, Joseph Gay-Lussac Eric Weisstein's World of Biography, who measured the thermal expansion of a gas as 1/267 of its original volume per degree Celsius. In 1847, Henri Regnault refined this value to 1/273, and also discovered that many gases violate this rule, which in principle holds only for so-called ideal gases.

Charles' law is represented by the formula

(1)

where V and are the final and initial volumes and is the change in temperature. More generally, it may be stated that for a gas at constant pressure,

(2)

where V is the volume, T is the temperature, and C is a constant.

When combined with the observation by Robert Boyle Eric Weisstein's World of Biography a century earlier that the volume of a gas at a constant temperature is inversely proportional to its pressure (Boyle's law), we arrive at

(3)

where T is expressed in degrees Kelvin rather than degrees Celsius and C is a constant. In combination with Avogadro's hypothesis, (3) takes the form

(4)

known as the ideal gas law, where R is the universal gas constant and n is the number of moles of the gas in the volume V.

Avogadro's Hypothesis, Boyle's Law, Ideal Gas Law, Universal Gas Constant


© 1996-2007 Eric W. Weisstein

AltStyle によって変換されたページ (->オリジナル) /