Relation between density, molar mass and pressure:
According to ideal gas equation,
PV = nRT …..(1)
On rearranging equation (1), we get
\(\frac{n}{V}\) = \(\frac{P}{RT}\) ……….(2)
Now, n = \(\frac{m}M\)
On substituting the value of n, equation (2) becomes
\(\frac{m}{MV}\) = \(\frac{P}{RT}\)
\(\frac{d}M\) = \(\frac{P}{RT}\) ……….(3)
where d = \(\frac{m}V\) = density of the gas On rearranging the equation, we get
M = \(\frac{dRT}P\) ……(4)
This equation can be used to calculate molar mass of a gas in terms of its density.
