Standard temperature is 273 K
Standard pressure is 1 atm
We use the ideal gas equation to find out density of nitrogen gas in g/L
Ideal gas equation:
[tex] PV = nRT\\
PV = (\frac{Mass}{Molar mass)}RT\\
P(Molar mass) = (\frac{Mass}{Volume})RT\\
\frac{Mass}{Volume}=\frac{P(molar mass)}{RT} \\
Density = \frac{P(Molar mass)}{RT} [/tex]
Molar mass of [tex] N_{2} = 28 g/mol [/tex]
Pressure = 1 atm
Temperature = 273 K
[tex] Density = \frac{(1atm)(28 g/mol)}{(0.08206 \frac{L.atm}{mol.K})(273 K)} [/tex]
= 1.25 g/L
Therefore, density of nitrogen gas at STP is 1.25 g/L
