Titanium occurs in the magnetic mineral ilmenite (FeTiO3),
which is often found mixed with sand. The ilmenite can be
separated from the sand with magnets. The titanium can then
be extracted from the ilmenite by the following set of reactions:
FeTiO3(s) + 3 Cl2( g) + 3 C(s)¡3 CO(g) + FeCl2(s) + TiCl4( g)
TiCl4( g) + 2 Mg(s)¡2 MgCl2(l ) + Ti(s)
Suppose that an ilmenite–sand mixture contains 22.8% ilmenite
by mass and that the first reaction is carried out with a 90.8%
yield. If the second reaction is carried out with an 85.9% yield,
what mass of titanium can be obtained from 1.00 kg of the
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