Answer: 48.0 g
Explanation:
According to avogadro's law, 1 mole of every substance occupies 22.4 L at STP and contains avogadro's number [tex]6.023\times 10^{23}[/tex] of particles.
To calculate the number of moles, we use the equation:
[tex]\text{Number of moles of}Fe=\frac{\text{Given mass}}{\text{Molar mass}}=\frac{111.6g}{55.85g/mol}=2moles[/tex]
[tex]4Fe+3O_2\rightarrow 2Fe_2O_3[/tex]
According to stoichiometry:
4 moles of iron react with 3 moles of oxygen
thus 2 moles of iron will react with =[tex]\frac{3}{4}\times 2=1.5[/tex] moles of oxygen
Mass of oxygen=[tex]moles\times {\text {molar mass}}=1.5\times 32g/mol=48g[/tex]
Thus 48 g of oxygen were consumed.
