A titanium ore contains rutile (TiO2) plus some iron oxide and silica. When it is heated with ca

step 1 To calculate the percent titanium -4 oxide TIO2 in 17 .4 grams of crude ore, we need to convert

A titanium ore contains rutile (TiO2) plus some iron oxide...

A titanium ore contains rutile $\left(\mathrm{TiO}_{2}\right)$ plus some iron oxide and silica. When it is heated with carbon in the presence of chlorine, titanium tetrachloride, $\mathrm{TiCl}_{4}$, is formed. $$ \mathrm{TiO}_{2}(s)+\mathrm{C}(s)+2 \mathrm{Cl}_{2}(g) \longrightarrow \mathrm{TiCl}_{4}(g)+\mathrm{CO}_{2}(g) $$ Titanium tetrachloride, a liquid, can be distilled from the mixture. If $35.4 \mathrm{~g}$ of titanium tetrachloride is recovered from $17.4 \mathrm{~g}$ of crude ore, what is the mass percentage of $\mathrm{TiO}_{2}$ in the ore (assuming all $\mathrm{TiO}_{2}$ reacts)?

A titanium ore contains rutile $\left(\mathrm{TiO}_{2}\right)$ plus some iron oxide and silica. When it is heated with carbon in the presence of chlorine, titanium tetrachloride, $\mathrm{TiCl}_{4}$, is formed.
$$
\mathrm{TiO}_{2}(s)+\mathrm{C}(s)+2 \mathrm{Cl}_{2}(g) \longrightarrow \mathrm{TiCl}_{4}(g)+\mathrm{CO}_{2}(g)
$$
Titanium tetrachloride, a liquid, can be distilled from the mixture. If $35.4 \mathrm{~g}$ of titanium tetrachloride is recovered from $17.4 \mathrm{~g}$ of crude ore, what is the mass percentage of $\mathrm{TiO}_{2}$ in the ore (assuming all $\mathrm{TiO}_{2}$ reacts)?

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Key Concepts

Stoichiometry

Stoichiometry involves using the quantitative relationships dictated by a balanced chemical equation to calculate the amounts of reactants and products. It relies on mole ratios and is essential for determining how reactants convert to products under given conditions.

Mole Concept

The mole concept is a fundamental principle that connects the mass of a substance to the number of its constituent particles via Avogadro's number. It allows chemists to convert between grams and moles, which is vital for stoichiometric calculations in chemical reactions.

Mass Percentage Composition

Mass percentage composition is a measure of the amount of a specific component in a mixture, expressed as a percentage of the total mass. This concept is used to determine the purity or concentration of a substance within a compound sample or ore.

Balanced Chemical Equation

A balanced chemical equation represents the law of conservation of mass by showing the exact proportions of reactants and products involved in a reaction. It is critical in stoichiometry because it provides the necessary ratios of substances involved in the reaction.

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