Gas Laws: Boyle's Law and Charles's Law

For most gases and under a wide range of conditions, the ratio of volume to temperature, for a gas at constant pressure, is constant; V/T = constant. This is known as Charles' Law.

For most gases and under a wide range of conditions, the product of pressure and volume, for a constant temperature, is constant; PV= constant. This is known as Boyle's Law.

Charles' and Boyle's Law may be combined as PV/T = constant or PV/T = PoVo/To.


For constant volume:


For constant temperature:

This is known as Boyle's Law.


For constant pressure:

This is known as Charles' Law.


Combining these, we have

This is known as the ideal gas law.

n = number of moles

A mole of gas molecules is Avagadro's number NA of molecules,

NA = 6.02 x 1023

R = universal gas constant

R = 8.314 J/mole-K

Ideal Gases

Kinetic Theory
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(c) 2005, Doug Davis; all rights reserved