Answer:
[tex]m_{Fe_2O_3}=160.41gFe_2O_3[/tex]
Explanation:
Hello!
In this case, since the reaction between aluminum and iron (III) oxide is:
[tex]2Al+Fe_2O_3\rightarrow Al_2O_3+2Fe[/tex]
In such way, since there is 2:1 mole ratio between aluminum (atomic mass = 26.98 g/mol) and iron (III) oxide (molar mass = 159.70 g/mol), we'll be able to compute the mass of the required reactant as shown below:
[tex]m_{Fe_2O_3}=54.2gAl*\frac{1molAl}{26.98gAl}* \frac{1molFe_2O_3}{2molAl}*\frac{159.70gFe_2O_3}{1molFe_2O_3}\\\\m_{Fe_2O_3}=160.41gFe_2O_3[/tex]
Best regards!