Considering the definition of STP conditions, 0.5 moles of N₂ gas has a volume of 11.2 liters at STP.
Definition of STP condition
The STP conditions refer to the standard temperature and pressure. Pressure values at 1 atmosphere and temperature at 0 ° C are used and are reference values for gases. And in these conditions 1 mole of any gas occupies an approximate volume of 22.4 liters.
Amount of moles of helium within the balloon
In this case, you know that N₂ gas has a volume of 11.2 liters at STP.
So, you can apply the following rule of three: if by definition of STP conditions 22.4 liters are occupied by 1 mole of N₂, 11.2 liters are occupied by how many moles of N₂?
[tex]amount of moles of N_{2} =\frac{11.2 litersx1 mole ofN_{2} }{22.4 liters}[/tex]
amount of moles of N₂= 0.5 moles
Finally, 0.5 moles of N₂ gas has a volume of 11.2 liters at STP.
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