The volume of the balloon can be found by making use of Avogadro's Law
and the given chemical equation.
The volume of the balloon after the reaction is B. 0.670 L
Reason:
The given reaction is; N₂(g) + 3H₂(g) → 2NH(g)
From the given reaction, we have;
One mole of nitrogen reacts with three moles of hydrogen to produce two
moles of ammonia.
Therefore, the reaction requires three moles of hydrogen, H₂, which is the
limiting reactant.
According to Avogadro's Law, which states that equal volumes of gas
contain equal number of molecules at the same temperature and
pressure, we have;
0.5 L of H₂ will react with L, of N₂ to produce
L of NH₃
The remaining gases in the balloon after the reaction are;
Volume of the unreacted nitrogen gas =
Volume of the ammonia gas produced, NH₃ =
The volume of the balloon after the reaction is therefore;
of ammonia + of nitrogen gas = ≈ 0.670 Liters
The correct option is option B. 0.670 L.
