By converting to moles then to litres, we get 40L
Recall that the 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).
- Calculate the moles of ##N_2## in 50g We divide the mass by the molar mass to get moles ##(50g)/(28gmol^-1)## = 1.78571… mol
- Now using the at STP (which is ##(22.71 L)/(mol)##), we can convert the moles of nitrogen into the volume of nitrogen. ##1.78571… mol## x ##(22.71 L)/(mol) = 40.55… L##
It seems like your answer has been rounded down to 40L



