Chapter 6, Problem 6.43AP

Titanium metal is obtained from the mineral rutile, TiO₂. The process requires multiple steps, as shown in the following reactions:

     $\begin{array}{l}{\text{TiO}}_2\left(s\right)+2{\text{Cl}}_2\left(g\right)+2\text{C}\left(s\right)\to {\text{TiCl}}_4\left(s\right)+2\text{CO}\left(g\right)\\ {\text{TiCl}}_4\left(s\right)+2\text{Mg}\left(s\right)\to \text{Ti}\left(s\right)+2{\text{MgCl}}_2\left(s\right)\end{array}$

1. (a) Write mole ratios to show the relationship between the reactants and products for each reaction.
2. (b) How many moles of TiO₂ are needed to form one mole of titanium?
3. (c) How many kilograms of rutile are needed to produce 95 kg of Ti?