The balanced chemical equation for the reaction between iron and oxygen is:
4Fe + 3O2 -> 2Fe2O3
From the equation, we can see that 4 moles of iron react with 3 moles of oxygen to produce 2 moles of iron oxide.
To find the amount of iron needed to react with 10 moles of oxygen, we can use a proportion:
4 moles of iron / 3 moles of oxygen = x moles of iron / 10 moles of oxygen
Solving for x, we get:
x = (4/3) * 10 = 13.33 moles of iron
Finally, we can convert moles of iron to grams of iron using the molar mass of iron, which is 55.85 g/mol:
13.33 moles of iron * 55.85 g/mol = 745.15 grams of iron
Therefore, 745.15 grams of iron are needed to react with 10 moles of oxygen.