TenArchive

Atoms & formulas

01 · Build an atom

Z = protons; A = protons + neutrons; charge = protons − electrons.

Worked example

Example: oxygen-16 has 8 protons and 8 neutrons. A neutral atom has 8 electrons; O²⁻ has 10.

Explore the first 20 elements. Change particles to see the element, mass number and electric charge.

Particle counts are a schematic, not orbital positions. Mass number is not molar mass.

02 · Molar mass

Add the atomic weights, multiplied by their atom counts.

Worked example

Example: M(H₂O) = 2 × 1.008 + 15.999 = 18.015 g/mol.

Examples:

Mass breakdown
ElementAtomsAtomic weightg/mol

Approximate classroom values from CIAAW’s abridged atomic weights (2024). Natural isotopic variation and uncertainty are not included in the result.

Supported symbols:

Supports nested parentheses and Unicode subscripts. No hydrates, ionic charges or isotope notation.

CIAAW · Atomic-weight reference
03 · Mass and moles

n = m/M; m = n × M. Use grams and g/mol.

Worked example

Example: 18.015 g of H₂O ÷ 18.015 g/mol = 1 mol.

04 · Percentage composition

Element percentage = element contribution / molar mass × 100%.

Worked example

Example: using C = 12 and O = 16, CO₂ has M = 44 g/mol; carbon is 12/44 × 100% ≈ 27.27%.

Solutions

05 · Concentration

Molar: c = n/V. Mass percentage: cₚ = mₛ/mᵣ × 100%. Solution mass includes solute and solvent.

Worked example

Example: 0.25 mol in 500 mL = 0.25/0.5 = 0.5 mol/dm³. Separately, 10 g solute in 200 g solution gives 5%.

06 · Dilution

c₁V₁ = c₂V₂. This model assumes no reaction and no loss of solute.

Worked example

Example: V₁ = 0.2 × 250 / 2 = 25 mL. Dilute to a final volume of 250 mL.

Reactions

07 · Balance equations

Change coefficients, not the subscripts in chemical formulas.

Worked example

Example: 2 H₂ + O₂ → 2 H₂O. Both sides contain 4 H atoms and 2 O atoms.

Adjust the numbers before each formula. The number of each kind of atom must match on both sides.

Challenge

Atom counts
ElementLeftRight
08 · Reaction stoichiometry

Balanced equation → moles → coefficient ratio → product mass.

Worked example

Example: 2.016 g H₂ = 1 mol H₂. In 2 H₂ + O₂ → 2 H₂O, the H₂:H₂O ratio is 1:1, giving 18.015 g water.