At
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Solution: Click For PDF Version For a gas at temperature T the average energy of the molecules is
where k is the Boltzmann constant and m is the mass of a molecule. Ideal gas equation is
where N is the total number of molecules occupying the volume V at pressure P and at temperature T. Therefore,
where M
is the mass of the gas and
The pressure
of the gas is
One mole of
gas has
Mass of one mole of the gas will therefore be
Therefore, the
gas is nitrogen (
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and
the
density of a gas is
.
(a) We have to find
for the gas molecules. (b) We
have to find the molar mass of the gas and identify it.
is its density.
,
its density is
.
Therefore,
molecules. The total kinetic energy of one mole of gas will therefore
be
).