# Question #3c8e3

##### 1 Answer

Oct 2, 2016

#### Answer:

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).

- 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 molar volume of a gas 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