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ikadub [295]
3 years ago
5

Derive an expression for the molar mass of a gas starting with its density?

Chemistry
1 answer:
notka56 [123]3 years ago
6 0

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:

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