Answer:
15 moles of carbon required
What is stoichiometry?
In chemical equations, unless stated otherwise, the reactants and products will theoretically always remain in stoichiometric ratios.
The stoichiometry of a reaction is the relationship between the relative quantities of products and reactants, typically a ratio of whole integers.
Consider the following chemical reaction: aA + bB ⇒ cC + dD.
The stoichiometry of reactants to products in this reaction is the ratio of the coefficients of each species: a : b : c : d.
Now let's apply this knowledge to the question to be attempted:
first, we can start by writing out a balanced chemical equation, with states.
Fe₂O₃(s) + 3C(s) ⇒ 3CO(g) + 2Fe(g)
Hence, the stoichiometry of this reaction is 1 : 3 : 3 : 2. This means that for every 1 mole of iron(III) oxide, we require 3 moles of carbon, 3 moles of carbon monoxide, and 2 moles of iron.
If we have 1×5 moles of iron(III) oxide, then we require 3×5 moles of carbon. Therefore, we need 15 moles of carbon