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

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:

warm front forms when a moist, warm air mass slides up and over a cold air mass. as the warm air mass rises, it condenses into a broad area of clouds. a warm front brings gentle rain or light snow, followed by warmer, milder weather.

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