Derive relation between molar mass, density, edge length
Answers
Explanation:
The density of a substance is the relationship between the mass of the substance and how much space it takes up (volume). The mass of atoms, their size, and how they are arranged determine the density of a substance. Density equals the mass of the substance divided by its volume; D = m/v.
Answer:
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.
Explanation: