JACQUES D. answered 03/20/22
Ivy league and MIT educated Chemical Engineer with career as teacher
You'll need the stoichiometry from the reaction:
Fe2O3 + 6HCl ⇒ 2FeCl3 + 3H2O
The question is odd in that it asks for concentration needed to react when the reactant is solid and only the excess reactant will be Fe3+ in solution. We can still grind it out and assume that the HCl is limiting and that the unreacted Fe2O3 does not dissolve. (it need acidity to do so)
Let's just calculate how much Ferric Oxide (FO) that is reacted:
24.3 ml HCl (1 liter/1000 ml)(.577 moles HCl/liter)(1 mole FO/6 moles HCl)(159.69 g/mole FO) = g FO
Grams unreacted = 5.82 - g FO reacted
Take moles of FO reacted (you can work this out by stopping before the final multiplication above)
and multiply by 2 moles Fe2+/ mole FO
You need to divide this by the liters of solution which you can only take to be .0243 liters.