Answer: 16.32 g of [tex]O_2[/tex] as excess reagent are left.
Explanation:
To calculate the moles :
[tex]\text{Moles of solute}=\frac{\text{given mass}}{\text{Molar Mass}}[/tex]
[tex]\text{Moles of} SO_2=\frac{21.71g}{64g/mol}=0.34mol[/tex]
[tex]\text{Moles of} O_2=\frac{21.71g}{32g/mol}=0.68mol[/tex]
[tex]2SO_2(g)+O_2(g)\rightarrow 2SO_3(g)[/tex]
According to stoichiometry :
2 moles of [tex]SO_2[/tex] require = 1 mole of [tex]O_2[/tex]
Thus 0.34 moles of [tex]SO_2[/tex] will require=[tex]\frac{1}{2}\times 0.34=0.17moles[/tex] of [tex]O_2[/tex]
Thus [tex]SO_2[/tex] is the limiting reagent as it limits the formation of product and [tex]O_2[/tex] is the excess reagent.
Moles of [tex]O_2[/tex] left = (0.68-0.17) mol = 0.51 mol
Mass of [tex]O_2=moles\times {\text {Molar mass}}=0.51moles\times 32g/mol=16.32g[/tex]
Thus 16.32 g of [tex]O_2[/tex] as excess reagent are left.