Use one of the assumptions of the kinetic theory of gases to explain why the potential energy of the molecules of an ideal gas is zero.
The average translational kinetic energy of a molecule of an ideal gas is given by the expression
where is the mass of a molecule and
is the Boltzmann constant. State the meaning of the symbol
A cylinder of constant volume contains an ideal gas at pressure
and temperature
. The gas is heated. The thermal energy transferred to the gas is
. The final temperature and pressure of the gas are
and
, as illustrated in the figure below.
Calculate
the number of molecules in the cylinder,
the increase in average kinetic energy of a molecule during the heating process.
Use your answer in (i) part 2 to determine the final temperature , in kelvin, of the gas in the cylinder.