Titanium occurs in the magnetic mineral ilmenite (FeTiO3), which is often found mixed up with sand. The ilmenite can be separate
d from the sand with magnets. The titanium can then be extracted from the ilmenite by the following set of reactions: FeTiO3(s)+3Cl2(g)+3C(s)→3CO(g)+FeCl2(s)+TiCl4(g)TiCl4(g)+2Mg(s)→2MgCl2(l)+Ti(s)
Suppose that an ilmenite-sand mixture contains 20.2 % ilmenite by mass and that the first reaction is carried out with a 91.6 % yield.
If the second reaction is carried out with an 86.0 % yield, what mass of titanium can be obtained from 1.40 kg of the ilmenite-sand mixture?