Chapter 5, Problem 5.48E

Pure titanium metal is produced by reacting $\text{titanium}\left(\text{IV}\right)$ chloride with magnesium metal. The equation for the reaction is

${\text{TiCl}}_4\left(\text{s}\right)+2\text{Mg}\left(\text{s}\right)\to \text{Ti}\left(\text{s}\right)+2{\text{MgCl}}_{\text{2}}\left(\text{s}\right)$

How many grams of $\text{Mg}$ would be needed to produce $1.00\text{kg}$ of pure titanium?