Help!! Please explain how you get the answer

5 moles

Explanation:

First, write out the balanced equation:

2Al + Fe₂O₃ → Al₂O₃ + 2Fe

Reaction ratio of Al to Fe₂O₃ is:

2 : 1

This means 2 moles of Al will react with 1 mole of Fe₂O₃

Al: 5 mol

Fe₂O₃: 3 mol

Multiply the reaction to get moles of both reactants you have:

2 : 1 (×⁵/₂) = 5 : ⁵/₂

2 : 1 (×3) = 6 : 3

In other words, 5 moles of Al will react with ⁵/₂ moles of Fe₂O₃;

And 3 moles of Fe₂O₃ will react with 6 moles of Al;

But, we do not have 6 moles of Al, therefore only the 5 moles of Al available will react;

5 moles of Al reacts with ⁵/₂ moles of Fe₂O₃, as we can see from the ratios we calculated above, the remaining ¹/₂ mole of Fe₂O₃ will not react;

We say that Al is the limiting reactant because all the Al will react but all the Fe₂O₃ does not (i.e. it is in excess);

Next and last, the reaction ratio of Al to Fe is:

2 : 2 or, more simply 1 : 1

This means the moles of Al that reacts is the equal to the moles of Fe produced from the reaction;

We've established that 5 moles of Al will react with ⁵/₂ moles of Fe₂O₃, so 5 moles of Fe will also be produced (since the ratio is 1 : 1);

You could also work this out using the moles of Fe₂O₃ that react;

The reaction ratio of Fe₂O₃ to Fe:

1 : 2

So the moles of Fe produced is 2× the moles of Fe₂O₃;

If ⁵/₂ moles of Fe₂O₃ reacts, then simply multiply this by 2 which is 5 moles

"among the transition metal elements, manganese and zinc have a slight lowering of electronegativities. the reason behind this is that the nuclear charges of these elements are slightly weaker than the other transition metal elements due to the way their valence electrons are filled up. both manganese and zinc have their valence electrons filled up to the 4th shell with 1 pair of electrons (4s2) completely occupying it. although the electrons in the 3rd shell (3d) are yet to be paired since the outer most shell is filled up, the ability of the nucleus to attract electrons is lessened. hence,   the electronegativity (or the ability to attract electrons) is lessened."