C3 - Stoichiometry
Stoichiometry 1. Formulae and Equations Chemical Formulae Formula of Elements: Represents the simplest ratio of atoms (e.g., $\text{O}_2$, $\text{P}_4$). Molecular Formula: Shows the actual number of atoms of each element in a molecule of a compound. Deducing Formulae: Determine formulae from molecular models or diagrams. Chemical Equations Word Equations: Use names of reactants and products. Symbol Equations: Use chemical symbols and formulae. State Symbols: $(s)$ solid $(l)$ liquid $(g)$ gas $(aq)$ aqueous solution Ionic Equations: Show only the species that change during the reaction; spectator ions are omitted. 2. Relative Masses Relative Atomic Mass ($A_r$) The weighted average mass of an atom of an element compared to 1/12th of the mass of an atom of carbon-12. Relative Molecular Mass ($M_r$) and Formula Mass Relative Molecular Mass ($M_r$): Sum of the relative atomic masses of all atoms in a molecule. Relative Formula Mass: Sum of relative atomic masses for ionic compounds (where molecular formula is not applicable). 3. The Mole Concept The Mole and Avogadro Constant The Mole ($\text{mol}$): The unit for amount of substance. Avogadro Constant: $6.02 \times 10^{23}$ particles per mole. Calculation: $\text{Number of particles} = \text{moles} \times (6.02 \times 10^{23})$ Molar Mass Calculations Formula: $$\text{mass (g)} = \text{moles (mol)} \times \text{molar mass (g/mol)}$$ $\text{Molar mass}$ is numerically equal to $M_r$ or $A_r$. Empirical and Molecular Formulae Empirical Formula: The simplest whole-number ratio of atoms of each element in a compound. Molecular Formula: A multiple of the empirical formula. Calculation: Determine empirical formula from percentage composition or mass, then use $M_r$ to find the molecular formula. 4. Stoichiometry and Reacting Masses Simple Proportions Calculate reacting masses using the ratio of $M_r$ without the mole concept. Stoichiometric Calculations Use balanced symbol equations to determine the molar ratio between reactants and products. Limiting Reactant: The reactant that is completely consumed first, limiting the amount of product formed. 5. Gas and Solution Stoichiometry Molar Gas Volume At room temperature and pressure (r.t.p.), 1 mole of any gas occupies $24\text{ dm}^3$. Formula: $\text{volume (dm}^3) = \text{moles} \times 24$ Solution Concentrations Mass Concentration: $\text{g/dm}^3$ Molar Concentration: $\text{mol/dm}^3$ Conversion: $\text{mol/dm}^3 = \frac{\text{g/dm}^3}{\text{molar mass}}$ Titrations Use titration data (volume and concentration of a known solution) to calculate the unknown concentration or volume of another solution. 6. Yield and Purity $$\text{Percentage Yield} = \frac{\text{actual yield}}{\text{theoretical yield}} \times 100%$$ ...