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How many grams of Al2O3 can form from 34.6 grams of Al

Sagot :

Answer: 65.28 g of [tex]Al_2O_3[/tex] will be produced from 34.6 g of Al.

Explanation:

To calculate the moles :

[tex]\text{Moles of solute}=\frac{\text{given mass}}{\text{Molar Mass}}[/tex]    

[tex]\text{Moles of} Al=\frac{34.6g}{27g/mol}=1.28moles[/tex]

The balanced chemical reaction is

[tex]4Al+3O_2\rightarrow 2Al_2O_3[/tex]  

According to stoichiometry :

4 moles of [tex]Al[/tex] produce =  2 moles of [tex]Al_2O_3[/tex]

Thus 1.28 moles of [tex]Al[/tex] produce=[tex]\frac{2}{4}\times 1.28=0.64moles[/tex]  of [tex]Al_2O_3[/tex]

Mass of [tex][tex]Al_2O_3[/tex]= [tex]moles\times {\text {Molar mass}}=0.64moles\times 102g/mol=65.28g[/tex]

Thus 65.28 g of [tex]Al_2O_3[/tex] will be produced from 34.6 g of Al.