Write the relationship between density and molar mass of gases
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The relationships between molar mass and density for a monoatomic gas can be easy.
The Ideal Gas Law, PV = nRT can be arranged so that n moles equals the mass/molar mass of the gas to become,
PV =
M
mRT
where m is the mass and M is the molar mass.
M =
PV
mRT
, if you hold the temperature of the gas constant the equation reduces to the Boyle's law or
PV
m
The mass will be constant assuming the container is closed and so the gas cannot be escaped so, PV will be constant.
D =
V
m
and M =
PV
mRT
M =
P
DRT
The higher the density of the gas the higher the molar mass and vice versa.
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