
One assumption of the kinetic theory of gases is that gas molecules behave as if they are hard, elastic identical spheres. State two other assumptions of the kinetic theory of gases.
Using the kinetic theory of gases, it can be shown that the product of the pressure
and the volume
of an ideal gas is given by the expression

where
is the mass of a gas molecule.
State the meaning of the symbol
,
.
Use the expression to deduce that the mean kinetic energy
of a gas molecule at temperature
is given by the equation

where
is a constant.