How many moles of titanium and how many atoms of titanium...

How many moles of titanium and how many atoms of titanium are there in 0.125 mole of each of the following?
(a) ilmenite, $\mathrm{FeTiO}_{3} ;$ (b) $\mathrm{TiCl}_{4} ;$ (c) $\mathrm{Ti}_{2} \mathrm{O}_{3} ;$ (d) $\mathrm{Ti}_{3} \mathrm{O}_{5}$

Key Concepts

Mole Concept

The mole is a fundamental unit in chemistry that represents a specific quantity of particles, typically atoms or molecules. It provides a bridge between the microscopic world of atoms and molecules and the macroscopic world, allowing chemists to count entities by weighing substances. This concept is essential for converting between the number of moles and the number of individual atoms or molecules in a sample.

Stoichiometry

Stoichiometry involves the quantitative relationships between the reactants and products in a chemical reaction, as well as the composition of compounds. In the context of counting atoms in a compound, stoichiometry requires interpreting the molecular formula to determine how many atoms of a particular element are present in one formula unit, and then scaling this according to the number of moles of the compound.

Avogadro's Number

Avogadro's number, approximately 6.022 × 10^23, is the number of atoms, ions, or molecules in one mole of a substance. This constant is crucial for converting between the number of moles and the actual number of individual particles, thus linking the macroscopic measurements of material quantities to the microscopic scale.

Interpreting Molecular Formulas

Interpreting molecular formulas is the process of reading a chemical formula to identify the types and numbers of atoms present in a molecule. This skill is essential for determining the number of moles or atoms of a specific element in a given compound by recognizing the subscripts that indicate the number of atoms per formula unit.

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