Solid calcium fluoride (CaF₂) reacts with sulfuric acid to form solid calcium sulfate and gaseous hydrogen fluoride. The HF is then dissolved in water to form hydrofluoric acid. A source of calcium fluoride is fluorite ore containing 96.0 wt% CaF₂ and 4.0% SiO₂.

In a typical hydrofluoric acid manufacturing process, fluorite ore is reacted with 93 wt% aqueous sulfuric acid, supplied 15% in excess of the stoichiometric amount. Ninety-five percent of the ore dissolves in the acid. Some of the HF formed reacts with the dissolved silica in the reaction 6HF + SiO₂ (aq) → H₂SiF₆(s) + 2 H₂O (l) the hydrogen fluoride exiting from the reactor is subsequently dissolved in enough water to produce 60.0 wt% hydrofluoric acid. Calculate the quantity of fluorite ore needed to produce a metric ton of acid. Note: Some of the given data are not needed to solve the problem.