When it is heated with carbon in the presence of chlorine, titanium tetrachloride (TiCl4) is produced. A titanium ore contains rutile (TiO2) plus some silica and iron oxide.
TiO2(s) + C(s) + 2Cl2(g) → TiCl4(g) +CO2(g)
Titanium tetrachloride, a liquid, can be distilled from the mixture. If 40.4 g of titanium tetrachloride is recovered from 20.3 g of crude ore, determine the mass percentage of TiO2 in the ore.