Question

derive the relation between mola mass and volume
​

Answer 1

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.

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Answer 2

Answer:

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.

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