
A sealed container of fixed volume
contains
molecules, each of mass
, of an ideal gas at pressure
.
State an expression, in terms of
,
,
and the Boltzmann constant
, for the thermodynamic temperature
of the gas.
Show that the mean translational kinetic energy
of a molecule of the gas is given by

Explain why the internal energy of the gas is equal to the total kinetic energy of the molecules.