Titanium is a strong, lightweight, corrosion-resistant metal that is used in rockets, jet engines, and bicycle grams. It is prepared by the reaction of titanium (IV) chloride with molten magnesium between 950 and 1150 degrees C via the following reaction:
TiCl4 (g) + Mg (l) --> Ti(s) + MgCl2
Suppose 3.54 X 10^7 g of titanium (IV) chloride reacts with 1.13 X 10^7 g of liquid magnesium. If 7.91 x10 ^6 g of solid titanium is produced, what is the percent yield of this reaction?