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Part 1 of 3
The mole connects microscopic particles to measurable laboratory mass via Avogadro's number (N_A = 6.022 x 10^23 mol^-1). Dimensional analysis converts between mass, moles, volume, and entity counts systematically.
Key formulas: - Moles from mass: n = m / M (where m is mass in g, M is molar mass in g/mol). - Moles from solution volume: n = Molarity (M) * Volume (L). - Moles of ideal gas at STP: n = Volume (L) / 22.4 L/mol.
Worked example
Calculate moles and molecule count in 36.0 g of pure water (H2O, M = 18.0 g/mol). Moles n = 36.0 g / 18.0 g/mol = 2.0 mol H2O. Molecule count N = 2.0 mol * (6.022 x 10^23 molecules/mol) = 1.204 x 10^24 H2O molecules.
1.The formula relating mass (g) and molar mass (g/mol) to chemical amount is n = m / M.
2.One mole of any gas at STP occupies a volume of exactly 1.0 Litre.
3.Avogadro's constant specifies 6.022 x 10^23 entities per mole of substance.
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