Titanium chloride reacts with magnesium to produce titanium. The equation for the reaction is:
TiCl4+2Mg→Ti+2MgCl2 \text{TiCl}_4 + 2\text{Mg} \rightarrow \text{Ti} + 2\text{MgCl}_2 TiCl4+2Mg→Ti+2MgCl2Calculate the percentage atom economy for obtaining titanium from this reaction. Use the equation:
Percentage atom economy=Ar of TiMr of TiCl4+2×Ar of Mg×100 \text{Percentage atom economy} = \frac{A_{\text{r}}\text{ of Ti}}{M_{\text{r}}\text{ of TiCl}_4 + 2 \times A_{\text{r}}\text{ of Mg}} \times 100 Percentage atom economy=Mr of TiCl4+2×Ar of MgAr of Ti×100Relative atomic masses (ArA_{\text{r}}Ar): Mg=24\text{Mg} = 24Mg=24, Ti=48\text{Ti} = 48Ti=48. Relative formula mass (MrM_{\text{r}}Mr): TiCl4=190\text{TiCl}_4 = 190TiCl4=190.