The volume of a fixed mass of gas at constant pressure
expands by a constant fraction of its volume at 0°C
for each Celsius degree or kelvin its temperature
is raised.
For any ideal gas the fraction is approximately
1/273. This can be expressed by the equation
V = Vo (1 + t/273), where Vo
is the volume at 0°C and
V is its volume at t°C. This is equivalent to the
statement that the volume of a fixed mass of gas at
constant pressure is proportional to its thermodynamic
temperature, V = kT, where k is constant. The law is
also known as Gay-Lussac's law.
An equation
similar to that given above applies to pressures for
ideal gases p = po (1 + t/273), a relationship known as
Charle's law of pressures.