Considering the definition of STP conditions, the mass of 2.15 liters of N₂ gas at STP is 2.68 grams.
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.
Molar mass
The molar mass of substance is a property defined as its mass per unit quantity of substance. In other words, molar mass is the amount of mass that a substance contains in one mole.
Mass of N₂ gas
You can apply the following rule of three: if by definition of STP conditions 22.4 L are occupied by 1 mole of N₂, 2.15 L are occupied by how many moles of N₂?
[tex]amount of moles of N_{2} =\frac{2.15 Lx1 mole}{22.4 L}[/tex]
amount of moles of N₂= 0.096 moles
In this case, the molar mass of N₂ is 28 g/mole.
Now, you can apply the following rule of three: If 1 mole of N₂ contains 28 grams, 0.096 moles of N₂ contains how much mass?
[tex]mass of N_{2} =\frac{0.096 molesx28 grams}{1 mole}[/tex]
mass of N₂= 2.68 grams
Finally, the mass of 2.15 liters of N₂ gas at STP is 2.68 grams.
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