During the chemical reaction given below 21.71 grams of each reagent were allowed to react. Determine how many grams of the excess reagent are left over after the reaction is complete. 2SO2()+O2()⟶2SO3()

Respuesta :

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.

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