<u>Answer:</u> The mass of iron produced will be 77.6 grams
<u>Explanation:</u>
To calculate the number of moles, we use the equation:
.....(1)
Given mass of FeO = 125 g
Molar mass of FeO = 71.8 g/mol
Putting values in equation 1, we get:
![\text{Moles of FeO}=\frac{125g}{71.8g/mol}=1.74mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20FeO%7D%3D%5Cfrac%7B125g%7D%7B71.8g%2Fmol%7D%3D1.74mol)
Given mass of aluminium = 25.0 g
Molar mass of aluminium = 27 g/mol
Putting values in equation 1, we get:
![\text{Moles of aluminium}=\frac{25.0g}{27g/mol}=0.93mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20aluminium%7D%3D%5Cfrac%7B25.0g%7D%7B27g%2Fmol%7D%3D0.93mol)
The given chemical reaction follows:
![3FeO+2Al\rightarrow 3Fe+Al_2O_3](https://tex.z-dn.net/?f=3FeO%2B2Al%5Crightarrow%203Fe%2BAl_2O_3)
By Stoichiometry of the reaction:
2 moles of aluminium metal reacts with 3 mole of FeO
So, 0.93 moles of aluminium metal will react with =
of FeO
As, given amount of FeO is more than the required amount. So, it is considered as an excess reagent.
Thus, aluminium metal is considered as a limiting reagent because it limits the formation of product.
By Stoichiometry of the reaction:
2 moles of aluminium metal produces 3 mole of iron metal
So, 0.93 moles of aluminium metal will produce =
of iron metal
- Now, calculating the mass of iron metal from equation 1, we get:
Molar mass of iron = 55.85 g/mol
Moles of iron = 1.395 moles
Putting values in equation 1, we get:
![1.395mol=\frac{\text{Mass of iron}}{55.85g/mol}\\\\\text{Mass of iron}=(1.395mol\times 55.85g/mol)=77.6g](https://tex.z-dn.net/?f=1.395mol%3D%5Cfrac%7B%5Ctext%7BMass%20of%20iron%7D%7D%7B55.85g%2Fmol%7D%5C%5C%5C%5C%5Ctext%7BMass%20of%20iron%7D%3D%281.395mol%5Ctimes%2055.85g%2Fmol%29%3D77.6g)
Hence, the mass of iron produced will be 77.6 grams