Jean Gephart, Teacher at 6-12 Public School, Numerade Educator

Chemistry Structure and Properties

Titanium occurs in the magnetic mineral ilmenite ( $\mathrm{FeT} \mathrm{O}_{3} ),$ 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:
$$\begin{array}{r}{\mathrm{FeTiO}_{3}(s)+3 \mathrm{Cl}_{2}(g)+3 \mathrm{C}(s) \longrightarrow} \\ {3 \mathrm{CO}(g)+\mathrm{FeCl}_{2}(s)+\mathrm{TiCl}_{4}(g)}\end{array}$$
$$\mathrm{TiCl}_{4}(g)+2 \mathrm{Mg}(s) \longrightarrow 2 \mathrm{MgCl}_{2}(l)+\mathrm{Ti}(s)$$
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 we
obtain from 1.00 $\mathrm{kg}$ of the ilmenite-sand mixture?

Chapter 8: Chemical Reactions and Chemical Quantities