# Question #3c8e3

Oct 2, 2016

By converting to moles then to litres, we get 40L

#### Explanation:

Recall that the atomic mass of an element corresponds to its molar mass in grams. For nitrogen (14 AMU), 1 mole = 14g. Now since it's the nitrogen molecule, the molar mass would be 28g (2 nitrogen atoms per molecule).

1. Calculate the moles of ${N}_{2}$ in 50g
We divide the mass by the molar mass to get moles
$\frac{50 g}{28 g m o {l}^{-} 1}$ = 1.78571... mol
2. Now using the molar volume of a gas at STP (which is $\frac{22.71 L}{m o l}$), we can convert the moles of nitrogen into the volume of nitrogen.
$1.78571 \ldots m o l$ x $\frac{22.71 L}{m o l} = 40.55 \ldots L$