Courses · Science · Grades 9–12

Chemistry

The science of matter: atoms, bonds, reactions, acids, and the carbon chemistry of life.

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Lessons

Unit 1: Matter, Atoms, and the Mole

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Lesson 1: Atomic Structure and the Periodic Table

All matter is built from atoms: a dense nucleus of protons (positive) and neutrons (neutral), orbited by electrons (negative). The atomic number Z (proton count) defines the element — 6 protons is always carbon. Mass number (protons + neutrons) varies: isotopes like carbon-12 and carbon-14 share chemistry but differ in mass and stability. Electrons occupy shells (energy levels) holding 2, 8, 18... electrons; chemistry happens in the outermost valence shell.

The periodic table orders elements by atomic number, and its shape encodes electron structure. Groups (columns) share valence electron counts and thus chemistry: Group 1 alkali metals (1 valence electron, fiercely reactive), Group 17 halogens (7 valence electrons, hungry for one more), Group 18 noble gases (full shells, aloof). Periods (rows) mark the outermost shell being filled. Metals (left, conductive, malleable) give way to metalloids then nonmetals (right) across each period.

Periodic trends follow from nuclear attraction versus shielding. Atomic radius shrinks left-to-right (stronger pull on the same shell) and grows top-to-bottom (new shells). Ionization energy (cost to remove an electron) does the opposite — highest at top-right (helium, neon, fluorine). Electronegativity (electron hunger in bonds) peaks at fluorine. These trends predict behavior: sodium readily loses its lone valence electron to form Na⁺, while chlorine grabs one to become Cl⁻.

Worked example — electron configuration and ion of sulfur (Z = 16):
  1. Fill shells: 2 in shell 1, 8 in shell 2, remaining 6 in shell 3: 2-8-6.
  2. Valence electrons: 6 — sulfur is in Group 16, two electrons short of a full octet.
  3. Prediction: sulfur gains 2 electrons to form the sulfide ion S²⁻.
  4. Check with the table: oxygen (above sulfur) forms O²⁻ — same group, same charge. Consistent.
  5. Trend check: sulfur is smaller than silicon (left of it) but larger than oxygen (above it).

Try it yourself: Give the electron shell arrangement and likely ion charge for: (a) magnesium (Z=12), (b) bromine (Z=35). Rank Na, Mg, Al by increasing atomic radius and explain.

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Narrated audio version: Chemical Reactions.

Lesson 2: The Mole and Molar Mass

Atoms are too small to count one by one, so chemists count them by the bucketful. A mole is 6.022 × 10²³ particles (Avogadro's number) — the chemist's dozen. The molar mass of an element is its atomic mass in grams: 12.01 g of carbon contains one mole of carbon atoms. For compounds, add the atomic masses: H₂O has molar mass 2(1.008) + 16.00 ≈ 18.02 g/mol.

Converting between mass, moles, and particles is the core skill: moles = mass ÷ molar mass; particles = moles × 6.022 × 10²³. How many molecules are in 36.04 g of water? 36.04/18.02 = 2.00 mol, so 2 × 6.022 × 10²³ ≈ 1.20 × 10²⁴ molecules. Percent composition reverses the idea: water is 2.016/18.02 ≈ 11.2% hydrogen and 88.8% oxygen by mass.

The mole also defines empirical formulas: a compound that is 40.0% C, 6.7% H, 53.3% O by mass has, per 100 g, 3.33 mol C, 6.7 mol H, 3.33 mol O — a ratio of 1:2:1, giving empirical formula CH₂O (the formula of formaldehyde, and of glucose's building block).

Worked example — how many atoms in 4.0 g of helium (molar mass 4.00 g/mol)?
  1. Moles = 4.0/4.00 = 1.0 mol.
  2. Atoms = 1.0 × 6.022 × 10²³ ≈ 6.0 × 10²³ atoms.
  3. Sanity check: 4 g of helium is a small balloon's worth, holding a mole of atoms — plausible.

Try it yourself: (a) Moles in 100 g of NaCl (molar mass 58.44 g/mol)? (b) Mass of 0.5 mol of CO₂ (44.01 g/mol)? Answers: (a) 100/58.44 ≈ 1.71 mol; (b) 0.5 × 44.01 ≈ 22.0 g.

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Print these worksheets for offline practice and homework. Each PDF includes an answer key on the last pages (for teacher/parent use).

Key vocabulary: Mole — 6.022 × 10²³ particles; molar mass — grams per mole; Avogadro's number — 6.022 × 10²³; empirical formula — the simplest whole-number ratio of atoms.

Lesson 3: Chemical Bonding

Atoms bond to achieve stable electron arrangements — usually a full valence shell, the octet rule. In ionic bonding, electrons transfer from metal to nonmetal: Na gives e⁻ to Cl, forming Na⁺ and Cl⁻, which lock into a crystal lattice (table salt) held by electrostatic attraction. Ionic compounds conduct electricity when molten or dissolved (mobile ions) but not as solids, and they tend to be brittle with high melting points.

In covalent bonding, atoms share electron pairs: H_2 shares one pair (single bond), O_2 shares two (double bond), N_2 shares three (triple bond). Lewis structures dot out valence electrons to track sharing — draw them by counting total valence electrons, connecting atoms with single bonds, then distributing the rest as lone pairs to complete octets. When sharing is unequal (different electronegativities), the bond is polar covalent: water's O—H bonds pull electrons toward oxygen, giving water its bent shape and partial charges (δ⁻ on O, δ⁺ on H).

Metallic bonding — a sea of delocalized electrons among positive ions — explains conductivity, malleability, and luster. Between molecules, intermolecular forces rule physical properties: hydrogen bonding (H attached to N, O, or F attracted to another N/O/F) makes water liquid at room temperature and gives DNA its double helix; dipole-dipole and London dispersion forces (temporary dipoles, present in everything) explain why bigger molecules boil hotter. VSEPR theory predicts shapes from electron-pair repulsion: 4 pairs → tetrahedral (methane, 109.5°), 3 pairs with one lone pair → bent (water, ~104.5°).

Worked example — Lewis structure and shape of CO_2:
  1. Count valence electrons: C has 4, each O has 6: 4 + 12 = 16.
  2. Connect C to each O with single bonds (uses 4 electrons, 12 remain).
  3. Complete octets on the oxygens first: each O gets 6 more dots (uses 12). Carbon has only 4 electrons — short.
  4. Form double bonds: move one lone pair from each O into a shared pair with C. Now C has 8, each O has 8.
  5. Shape: 2 bonding pairs, no lone pairs on C → linear, 180°. Nonpolar (bond dipoles cancel).

Try it yourself: Draw Lewis structures for NH_3 and predict its shape. Classify each bond as ionic, polar covalent, or nonpolar covalent: Na—F, C—H, O—O. Explain why HF boils at 20°C but H_2 (similar mass) boils at −253°C.

Lesson 4: Chemical Reactions and Stoichiometry

A chemical equation is a recipe: reactants → products. Balancing enforces the law of conservation of mass — atoms are rearranged, never created or destroyed. Balance by adjusting coefficients (never subscripts — that changes the substance): CH_4 + 2O_2 → CO_2 + 2H_2O. Count each element on both sides to verify. Reaction types: synthesis (A + B → AB), decomposition (AB → A + B), single replacement, double replacement (precipitation, acid-base), and combustion (hydrocarbon + O_2 → CO_2 + H_2O).

The mole (6.022 × 10²³ particles, Avogadro's number) is chemistry's dozen — it bridges the atomic and gram scales via molar mass (g/mol from the periodic table). 18.0 g of water is 1 mole is 6.022 × 10²³ molecules. Stoichiometry uses balanced-equation coefficients as mole ratios: in 2H_2 + O_2 → 2H_2O, 2 mol H_2 yields 2 mol H_2O. The pipeline: grams → moles (molar mass) → moles of target (mole ratio) → grams (molar mass).

The limiting reactant runs out first and caps the product — like the ingredient you run out of mid-recipe. Compute product from each reactant; the smaller result wins, and it's the real theoretical yield. Percent yield = (actual/theoretical) × 100% measures real-world efficiency. Molarity M = moles solute / liters solution quantifies concentration; dilution follows M₁V₁ = M₂V₂.

Worked example — grams of CO_2 from burning 32.0 g of CH_4:
  1. Balanced equation: CH_4 + 2O_2 → CO_2 + 2H_2O.
  2. Moles of CH_4: 32.0 g / 16.0 g/mol = 2.00 mol.
  3. Mole ratio CH_4 : CO_2 = 1 : 1, so 2.00 mol CO_2 forms.
  4. Grams of CO_2: 2.00 mol × 44.0 g/mol = 88.0 g.
  5. Sanity: products must outweigh... total reactant mass = 32 + 128 = 160 g; products = 88 + 72 = 160 g. Mass conserved.

Try it yourself: Balance: Al + O_2 → Al_2O_3. How many moles of O_2 react with 4.0 mol Al? If 10.0 g CaCO_3 decomposes (CaCO_3 → CaO + CO_2), what mass of CO_2 forms?

Unit 2: Gases, Solutions, Acids, and Energy

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Lesson 5: Gases and the Ideal Gas Law

Gases obey simple relationships. Boyle's Law: at constant temperature, P × V is constant (squeeze a gas, pressure rises). Charles's Law: at constant pressure, V/T is constant (heat a gas, it expands). Avogadro's Law: at constant T and P, V is proportional to moles. Combined: PV = nRT, the Ideal Gas Law, with R = 0.0821 L·atm/(mol·K) and T always in kelvin.

The Ideal Gas Law answers practical questions: what volume does 1 mole of gas occupy at STP (0°C, 1 atm)? V = nRT/P = 1 × 0.0821 × 273/1 ≈ 22.4 L. A car airbag inflating to 60 L at 1 atm and 300 K needs n = PV/RT = 60/(0.0821 × 300) ≈ 2.44 mol of gas — which is why airbags use a rapid chemical reaction that generates gas on demand.

Dalton's Law of Partial Pressures says each gas in a mixture contributes pressure as if it were alone: P_total = P₁ + P₂ + ... The air we breathe is 78% nitrogen, 21% oxygen, and the oxygen partial pressure is 0.21 atm — the number that matters for breathing at altitude, where the total pressure drops.

Worked example — a 2.0 L balloon at 1.0 atm and 300 K is heated to 450 K at constant pressure. New volume?
  1. Charles's Law: V₁/T₁ = V₂/T₂, so V₂ = V₁ × T₂/T₁ = 2.0 × 450/300 = 3.0 L.
  2. Check: temperature rose by half, so volume rose by half. Consistent.

Try it yourself: A gas at 2.0 atm in 5.0 L is compressed to 2.0 L at constant temperature. New pressure? How many moles in 10 L at 2 atm and 300 K? Answers: Boyle: P₂ = 2.0 × 5/2 = 5.0 atm; n = PV/RT = 20/(0.0821 × 300) ≈ 0.81 mol.

Key vocabulary: Ideal Gas Law — PV = nRT; STP — 0°C and 1 atm (molar volume 22.4 L); partial pressure — one gas's contribution to total pressure.

Lesson 6: Acids and Bases

Acids taste sour (citric acid), turn blue litmus red, and react with metals to release H_2. Bases taste bitter, feel slippery, and turn red litmus blue. Arrhenius defined acids as H⁺ producers and bases as OH⁻ producers in water; Brønsted–Lowry generalized: acids donate protons (H⁺), bases accept them. In HCl + NH_3 → NH_4⁺ + Cl⁻, HCl donates (acid) and NH_3 accepts (base) — no water or OH⁻ needed. Every Brønsted acid has a conjugate base (what remains after donating).

Acid strength is about dissociation: strong acids (HCl, H_2SO_4, HNO_3) ionize completely; weak acids (acetic acid, carbonic acid) establish equilibrium, mostly undissociated. The pH scale compresses [H⁺] logarithmically: pH = −log[H⁺]. Each pH unit is a 10× change — pH 3 is ten times more acidic than pH 4. Pure water: pH 7 (neutral); acids < 7; bases > 7. pOH = −log[OH⁻], with pH + pOH = 14 at 25°C.

Neutralization: acid + base → salt + water, e.g. HCl + NaOH → NaCl + H_2O. Titration finds an unknown concentration by reacting it with a known one to the equivalence point (moles acid = moles base for 1:1). Buffers — weak acid plus its conjugate base (like carbonic acid/bicarbonate in blood) — resist pH change by absorbing added H⁺ or OH⁻. Your blood's pH stays 7.35–7.45 because of buffering; drift outside that range is fatal.

Worked example — pH of a 0.0050 M HCl solution:
  1. HCl is a strong acid: fully dissociates, so [H⁺] = 0.0050 M.
  2. pH = −log(0.0050).
  3. log(5.0 × 10^−3) = log(5.0) + (−3) ≈ 0.70 − 3 = −2.30.
  4. pH = −(−2.30) = 2.30.
  5. Check: 0.005 M is between 10^−2 (pH 2) and 10^−3 (pH 3), closer to pH 2. 2.30 is sensible.

Try it yourself: Find [H⁺] for a solution of pH 4.5. Is 0.10 M acetic acid (weak) more or less acidic than 0.10 M HCl? Write the neutralization equation for H_2SO_4 + KOH (balance it).

Lesson 7: Solutions, Concentration, and Solubility

A solution is a uniform mixture: the solute dissolved in the solvent. “Like dissolves like”: polar water dissolves polar salts and sugars, but not nonpolar oil. Molarity measures concentration: M = moles of solute / liters of solution. A 2 M salt solution has 2 mol NaCl per liter. Dilution follows M₁V₁ = M₂V₂: to make 500 mL of 0.1 M acid from 1 M stock, V₁ = (0.1 × 0.5)/1 = 0.05 L = 50 mL of stock, then add water to 500 mL.

Solubility is the maximum that will dissolve at a given temperature. Heating usually dissolves more solid (sugar in hot tea) but less gas (warm soda goes flat). A saturated solution holds the maximum; a supersaturated one holds more, unstably, and will crystallize if disturbed — the basis of rock candy and heat packs.

Concentration affects reaction rates (more particles, more collisions) and colligative properties: dissolved particles lower the freezing point and raise the boiling point. That is why salt melts ice on winter roads and why antifreeze protects engines.

Worked example — what mass of NaCl makes 250 mL of 0.50 M solution? (Molar mass 58.44 g/mol)
  1. Moles needed: 0.50 mol/L × 0.250 L = 0.125 mol.
  2. Mass: 0.125 × 58.44 ≈ 7.3 g.
  3. Procedure: dissolve 7.3 g in some water, then add water until the total volume is exactly 250 mL.

Try it yourself: Dilute 100 mL of 6 M HCl to 2 M. What final volume? Answers: V₂ = M₁V₁/M₂ = 6 × 0.1/2 = 0.3 L = 300 mL.

Key vocabulary: Molarity — moles per liter; dilution — lowering concentration by adding solvent; saturated — holding the maximum dissolved solute.

Lesson 8: Thermochemistry — Energy in Reactions

Every chemical reaction either releases or absorbs energy. An exothermic reaction gives off heat (combustion, hand warmers) and has a negative enthalpy change, ΔH < 0. An endothermic reaction absorbs heat (photosynthesis, cold packs) and has ΔH > 0. Enthalpy is a state function: the total ΔH of a reaction depends only on start and end, not on the path — Hess's Law, which lets chemists add known reactions like algebra to find unknown ΔH values.

Bond energies explain why: energy is absorbed to break bonds and released when bonds form. ΔH ≈ (energy to break reactant bonds) − (energy released forming product bonds). Burning methane breaks 4 C–H and 2 O=O bonds (absorbing ~2,650 kJ/mol) and forms 2 C=O and 4 O–H bonds (releasing ~3,540 kJ/mol), for ΔH ≈ −890 kJ/mol — strongly exothermic.

Calorimetry measures heat directly: q = mcΔT. Burning 1 g of a snack in a calorimeter that warms 100 g of water by 12°C releases q = 100 × 4.184 × 12 ≈ 5,000 J — the principle behind food Calorie labels (1 food Calorie = 1 kcal = 4,184 J).

Worked example — 50 g of water heated from 20°C to 60°C absorbs how much heat? (c = 4.184 J/g°C)
  1. q = mcΔT = 50 × 4.184 × (60 − 20) = 50 × 4.184 × 40.
  2. q = 8,368 J ≈ 8.4 kJ.

Try it yourself: Is dissolving ammonium nitrate in water (cold pack) exo- or endothermic? A reaction with ΔH = +120 kJ absorbs or releases heat? Answers: Endothermic (it cools); positive ΔH means it absorbs heat.

Key vocabulary: Enthalpy (ΔH) — heat absorbed/released at constant pressure; exothermic/endothermic — releasing/absorbing heat; Hess's Law — ΔH adds over reaction steps.

Unit 3: Organic Chemistry, Electrochemistry, and Equilibrium

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Lesson 9: Introduction to Organic Chemistry

Organic chemistry is the chemistry of carbon — and therefore of life. Carbon's four valence electrons let it form four covalent bonds, chaining into skeletons of staggering variety: straight chains, branches, rings. Hydrocarbons contain only C and H. Alkanes (single bonds, C_nH_{2n+2}) like methane and octane are fuels; alkenes (C=C double bond) and alkynes (C≡C triple bond) are more reactive, undergoing addition reactions that alkanes resist. Structural isomers share a formula but differ in arrangement — butane and methylpropane are both C_4H_{10} with different properties.

Functional groups are reactive plug-ins that define families: alcohols (—OH, ethanol), carboxylic acids (—COOH, vinegar's acetic acid), amines (—NH_2, many drugs), esters (—COOR, fragrances), aldehydes and ketones (C=O). Learn the group, predict the chemistry: alcohols hydrogen-bond (higher boiling points), carboxylic acids donate protons (sour, reactive with bases). Naming follows IUPAC rules: longest chain sets the parent name, substituents get numbered positions.

The biomolecules are organic giants. Carbohydrates (sugars, starches) are fast fuel; lipids (fats, oils) store energy and build membranes; proteins (amino acid chains) do the work — enzymes, muscles, antibodies; nucleic acids (DNA, RNA) store instructions. Polymers — plastics, nylon, proteins, DNA — are long chains of repeating monomers, made by addition or condensation polymerization. Modern life is applied organic chemistry: medicines, materials, and food.

Worked example — naming and classifying CH_3CH_2CH_2OH:
  1. Count the longest carbon chain: 3 carbons → parent 'propane'.
  2. Identify the functional group: —OH → alcohol; suffix becomes '-ol': propanol.
  3. Number to give OH the lowest position: carbon 1 → 1-propanol (propan-1-ol).
  4. Properties predicted: hydrogen bonding → boiling point (~97°C) far above propane (−42°C); miscible with water; can be oxidized to an aldehyde then a carboxylic acid.
  5. Isomer note: CH_3CH(OH)CH_3 (2-propanol, rubbing alcohol) is a structural isomer with different properties.

Try it yourself: Draw and name two isomers of C_5H_{12}. Identify the functional groups in CH_3COOH and CH_3NH_2. Which boils higher, ethanol or dimethyl ether (CH_3OCH_3)? Explain.

Lesson 10: Redox Reactions and Electrochemistry

Redox reactions transfer electrons. Oxidation is loss of electrons (OIL: Oxidation Is Loss), reduction is gain (RIG: Reduction Is Gain). In Zn + Cu²⁺ → Zn²⁺ + Cu, zinc is oxidized (loses 2 e−) and copper ions are reduced (gain 2 e−). The oxidizing agent is the species reduced (Cu²⁺); the reducing agent is the species oxidized (Zn). Oxidation numbers track the bookkeeping: in H₂O, H is +1 and O is −2; a rise in oxidation number means oxidation.

Electrochemistry puts redox to work. In a galvanic (voltaic) cell, the spontaneous redox reaction is split into two half-cells: oxidation at the anode, reduction at the cathode, with electrons flowing through a wire — a battery. A dry cell, a car battery, and a lithium-ion battery are all galvanic cells. An electrolytic cell runs the reverse: electricity drives a non-spontaneous reaction, as in recharging a battery or electroplating metal onto jewelry.

Corrosion is redox in action: iron oxidizes to rust (Fe₂O₃) in the presence of oxygen and water. Galvanizing coats iron with zinc, which oxidizes first — a sacrificial anode protecting ships, pipelines, and bridges.

Worked example — assign oxidation numbers in 2Mg + O₂ → 2MgO:
  1. Reactants: Mg = 0, O = 0 (elements are always 0).
  2. Product: Mg = +2, O = −2 (MgO is ionic: Mg²⁺O²−).
  3. Mg's number rose (oxidized, reducing agent); O's fell (reduced, oxidizing agent).

Try it yourself: In Fe + CuSO₄ → FeSO₄ + Cu, which species is oxidized and which is reduced? Answers: Fe (0 → +2) is oxidized; Cu²⁺ (+2 → 0) is reduced.

Key vocabulary: Oxidation / reduction — loss / gain of electrons; anode / cathode — oxidation / reduction electrode; galvanic cell — a battery converting chemical energy to electrical.

Lesson 11: Chemical Equilibrium

Many reactions are reversible: products can react to reform reactants. Chemical equilibrium is the point where the forward and reverse rates are equal, so concentrations stop changing — even though both reactions continue. For aA + bB ⇌ cC + dD, the equilibrium constant is K = [C]^c[D]^d / ([A]^a[B]^b). A large K (≫ 1) means products dominate; a small K means reactants dominate. K depends only on temperature.

Le Châtelier's Principle predicts how equilibrium responds to disturbance: a system at equilibrium counteracts the change. Add more reactant → shifts toward products. Remove product → shifts toward products. Increase pressure (for gases) → shifts toward the side with fewer moles of gas. Raise temperature → shifts in the endothermic direction (toward reactants for an exothermic reaction).

The Haber process for ammonia, N₂ + 3H₂ ⇌ 2NH₃ (ΔH < 0), is run at high pressure (4 moles gas → 2) and moderate temperature — a compromise: low temperature favors products but slows the reaction, so a catalyst speeds it up without changing K. Industrial chemistry is equilibrium management.

Worked example — for H₂ + I₂ ⇌ 2HI with K = 50 at equilibrium [H₂] = [I₂] = 0.1 M, what is [HI]?
  1. K = [HI]²/([H₂][I₂]) = 50, so [HI]² = 50 × 0.1 × 0.1 = 0.5.
  2. [HI] = √0.5 ≈ 0.71 M.

Try it yourself: For N₂ + 3H₂ ⇌ 2NH₃, predict the shift when (a) NH₃ is removed, (b) pressure is decreased. Answers: (a) Toward products (right); (b) toward reactants (left, more gas moles).

Key vocabulary: Equilibrium — forward and reverse rates equal; equilibrium constant K — products over reactants at equilibrium; Le Châtelier's Principle — a system counteracts a disturbance.

Lesson 12: Chemical Kinetics — How Fast Reactions Go

Chemical kinetics studies reaction rates — how fast reactants become products. The collision theory says reactions happen when particles collide with enough energy and the right orientation. The minimum energy is the activation energy (E_a): the hill reactants must climb before rolling down to products. Anything that increases effective collisions speeds the reaction: higher concentration, higher temperature, greater surface area, and catalysts.

A rate law expresses how rate depends on concentrations: rate = k[A]^m[B]^n, where k is the rate constant and m, n are orders found by experiment (not from the balanced equation). A catalyst speeds a reaction without being consumed by lowering E_a — enzymes do this in your body, and catalytic converters do it in cars. A reaction mechanism is the step-by-step sequence of elementary steps; the slowest step, the rate-determining step, sets the overall pace, like the slowest hiker setting a group's speed.

Worked example — doubling concentration:
  1. For rate = k[A]², doubling [A] multiplies the rate by 2² = 4.
  2. For a first-order reaction (rate = k[A]), doubling [A] doubles the rate; for zero order, it has no effect.
  3. Experimentally, chemists measure initial rates at several concentrations and compare ratios to find the orders — never by guessing from the balanced equation.
Worked example — temperature and rate:
  1. A common rule of thumb: a 10°C rise roughly doubles many reaction rates, because the fraction of molecules above E_a grows exponentially.
  2. Food spoils slowly in a fridge (4°C) but fast on a counter (25°C): two 10-degree steps mean roughly 2 × 2 = 4 times faster.
  3. Cooking is the same principle in reverse: high heat pushes more collisions over E_a, so reactions that take hours at room temperature finish in minutes.

Try it yourself: A reaction has rate = k[B]³. What happens to the rate if [B] triples? Why does crushed sugar dissolve faster than a sugar cube? Answers: Rate multiplies by 3³ = 27. Crushing increases surface area, giving solvent molecules more collision sites.

Real-world application: Drug shelf lives, rust prevention, and industrial reactor design all depend on controlling reaction rates.

Key vocabulary: Activation energy — the energy barrier to reaction; rate law — rate = k[A]^m[B]^n; catalyst — speeds a reaction without being consumed.

Unit 4: Kinetics, Nuclear Chemistry, and Materials

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Lesson 13: Nuclear Chemistry and Radioactivity

Ordinary chemistry rearranges electrons; nuclear chemistry changes the nucleus itself. Unstable nuclei decay: alpha decay emits a helium nucleus (⁴He), beta decay converts a neutron into a proton plus an electron, and gamma decay releases energy as a photon. Each isotope has a characteristic half-life, the time for half a sample to decay, and decay follows first-order kinetics: after n half-lives, (1/2)^n of the original remains.

Fission splits heavy nuclei such as uranium-235, releasing energy and more neutrons — a chain reaction that powers nuclear reactors. Fusion joins light nuclei, releasing even more energy per mass and powering the Sun. Nuclear chemistry has medical uses too: technetium-99m images organs, iodine-131 treats thyroid disease, and carbon-14 dating (half-life 5,730 years) dates once-living material up to about 50,000 years old.

Worked example — carbon-14 dating:
  1. A wooden artifact has 25% of the carbon-14 of a living tree. 25% = (1/2)², so two half-lives have passed.
  2. Age = 2 × 5,730 = 11,460 years.
  3. Assumption: the atmospheric carbon-14 level stayed roughly constant — calibrated against tree rings and other records.
Worked example — balancing a nuclear equation:
  1. Uranium-238 alpha decay: ₂³⁸U → ₂³⁴Th + ⁴He. Mass: 238 = 234 + 4. Charge: 92 = 90 + 2. Balanced.
  2. Beta decay of carbon-14: ₁⁴C → ₁⁴N + ⁰⁻¹e. Mass stays 14; charge: 6 = 7 − 1. Balanced.
  3. Rule: total mass number and total atomic number must each be equal on both sides.

Try it yourself: A sample of iodine-131 (half-life 8 days) starts at 96 mg. How much remains after 24 days? Why is fusion waste less problematic than fission waste? Answers: 24 days = 3 half-lives: 96 → 48 → 24 → 12 mg. Fusion's main product is stable helium, not long-lived radioactive fragments.

Real-world application: Smoke detectors (americium-241), cancer radiotherapy, and nuclear power stations all use nuclear chemistry.

Key vocabulary: Half-life — time for half a sample to decay; fission — splitting a heavy nucleus; fusion — joining light nuclei.

Lesson 14: Polymers and Materials Chemistry

Polymers are giant molecules built from repeating monomers. Addition polymers form when double bonds open and link up — polyethylene from ethylene, polystyrene from styrene. Condensation polymers form when monomers join with the loss of a small molecule such as water — nylon, polyester, and proteins all form this way. A polymer's properties come from its chain structure: long, tangled chains are flexible; cross-linked chains are rigid (rubber vulcanized with sulfur); aligned chains are strong (Kevlar).

Materials chemistry designs matter for jobs. Thermoplastics (PET bottles) soften when heated and can be remelted; thermosets (epoxy, Bakelite) set permanently. Composites combine materials — fiberglass (glass fibers in plastic), concrete (cement plus aggregate), carbon-fiber composites (fibers in resin) — to get strength plus lightness. Modern chemistry also builds nanomaterials such as carbon nanotubes and graphene, and biodegradable plastics (PLA from corn starch) that microbes can break down.

Worked example — why HDPE and LDPE differ:
  1. Both are polyethylene, but HDPE chains are straight and pack tightly (density ~0.95 g/cm³), while LDPE chains are branched and pack loosely (~0.92 g/cm³).
  2. Tight packing makes HDPE rigid and strong — milk jugs, bottle caps. Loose packing makes LDPE flexible — squeeze bottles, plastic bags.
  3. Same monomer, different architecture, different material: structure controls properties.
Worked example — nylon formation:
  1. A diamine (two −NH₂ groups) reacts with a dicarboxylic acid (two −COOH groups); each link releases a water molecule.
  2. Because each monomer has two reactive ends, the chain keeps growing — the basis of condensation polymerization.
  3. The "nylon rope trick" pulls a continuous fiber from the interface of two solutions — a classroom classic.

Try it yourself: Is starch an addition or condensation polymer? Why can a thermoplastic bottle be recycled by melting, but a thermoset phone case cannot? Answers: Condensation (glucose units join releasing water). Thermoplastics have no cross-links, so chains slide apart when heated; thermosets are cross-linked into one giant network.

Real-world application: Biodegradable packaging, self-healing plastics, bulletproof vests, and medical sutures that dissolve in the body are all polymer chemistry.

Key vocabulary: Polymer / monomer — giant chain molecule / its repeating unit; thermoplastic — softens on heating; composite — two materials combined for better properties.

Lesson 15: Environmental Chemistry and Green Chemistry

Chemistry explains both pollution and its cleanup. Acid rain forms when sulfur dioxide and nitrogen oxides from burning fossil fuels react with water to make sulfuric and nitric acids (pH as low as 4), damaging forests, lakes, and buildings. Photochemical smog forms when sunlight drives reactions between nitrogen oxides and volatile organics, producing ozone at ground level — helpful in the stratosphere, harmful in the air we breathe. The ozone hole was caused by chlorofluorocarbons (CFCs) releasing chlorine that destroys ozone catalytically; the Montreal Protocol banned CFCs, and the ozone layer is recovering.

Green chemistry designs processes that prevent pollution at the source: use renewable feedstocks, avoid toxic solvents, design for energy efficiency, and make products that degrade harmlessly. The greenhouse effect is itself chemistry: CO₂, methane, and water vapor absorb infrared radiation re-emitted by Earth, warming the planet. Chemists fight back with catalysts for cleaner fuel, scrubbers that capture SO₂, and new materials for solar cells and batteries.

Worked example — acid rain from SO₂:
  1. SO₂ + H₂O → H₂SO₃ (sulfurous acid); oxidation in the air gives H₂SO₄ (sulfuric acid).
  2. Rain that would naturally be pH ~5.6 (from dissolved CO₂) can fall to pH 4.0 — ten to forty times more acidic.
  3. Limestone buildings react: CaCO₃ + H₂SO₄ → CaSO₄ + H₂O + CO₂ — statues literally dissolve.
Worked example — scrubbing SO₂ from flue gas:
  1. CaCO₃ (limestone slurry) + SO₂ → CaSO₃ + CO₂; further oxidation gives CaSO₄ (gypsum).
  2. Power plants using scrubbers remove over 90% of SO₂, and the gypsum is sold for drywall — waste becomes product.
  3. This is green chemistry in action: pollution prevention plus resource recovery.

Try it yourself: Why is ground-level ozone a pollutant while stratospheric ozone is protective? Name two green-chemistry changes a factory could make. Answers: Ground-level ozone irritates lungs; stratospheric ozone absorbs harmful UV before it reaches us. Examples: replace a toxic solvent with water, run a reaction at lower temperature with a catalyst.

Real-world application: Catalytic converters, lead-free petrol, phosphate-free detergents, and carbon-capture plants are environmental chemistry at work.

Key vocabulary: Acid rain — precipitation acidified by SO₂/NOx; green chemistry — designing processes that prevent pollution; greenhouse effect — gases trapping infrared radiation.

Lesson 16: Biochemistry — Carbohydrates, Lipids, Proteins, and Nucleic Acids

Biochemistry is chemistry inside living things. The four great classes of biological molecules: carbohydrates (sugars and starches — fast energy and structure), lipids (fats, oils, membranes — long-term energy and insulation), proteins (enzymes, muscles, antibodies — built from 20 amino acids), and nucleic acids (DNA and RNA — information). All are polymers built from small monomers: monosaccharides, fatty acids + glycerol, amino acids, and nucleotides.

Enzymes are protein catalysts with a precisely shaped active site that fits its substrate like a lock and key (or a glove flexing around a hand, the induced-fit model). Enzymes lower activation energy by factors of millions — amylase digests starch in your mouth in seconds — but they are sensitive to temperature and pH: a fever denatures proteins by unfolding them. ATP is the cell's energy currency: breaking its terminal phosphate bond releases ~30 kJ/mol to drive work, and cellular respiration rebuilds ATP from ADP.

Worked example — energy in a glucose molecule:
  1. Complete oxidation: C₆H₁₂O₆ + 6O₂ → 6CO₂ + 6H₂O, ΔH ≈ −2800 kJ/mol.
  2. Cells capture about 30 ATP per glucose in respiration, each worth ~30 kJ/mol stored — about 900 kJ/mol captured, ~32% efficiency.
  3. The rest becomes heat — which is why exercise warms you: your muscles are engines running at car-like efficiency.
Worked example — why lactase matters:
  1. Lactose (milk sugar) is a disaccharide; the enzyme lactase splits it into glucose + galactose.
  2. People who stop making lactase after childhood cannot digest lactose — gut bacteria ferment it instead, causing discomfort.
  3. Lactose-free milk simply has lactase added at the factory: chemistry solving a biological problem.

Try it yourself: Which biomolecule class stores information? Why does a high fever (41°C) become dangerous at the molecular level? Answers: Nucleic acids (DNA/RNA). Proteins begin to denature — enzymes lose shape and stop working.

Real-world application: Diabetes drugs, digestive-enzyme supplements, and DNA-based forensic tests all rest on biochemistry.

Key vocabulary: Enzyme — a protein catalyst; active site — the substrate-binding pocket; ATP — the cell's energy currency; denaturation — loss of protein shape.

Unit 5: Biochemistry, Analysis, Industry, and Frontiers

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Lesson 17: Analytical Chemistry — Spectroscopy and Chromatography

Analytical chemistry answers "what is it, and how much is there?" Spectroscopy reads the light matter absorbs or emits. In atomic absorption spectroscopy, a sample's atoms absorb light at their own fingerprint wavelengths, revealing trace metals in water. In UV-visible spectroscopy, the Beer–Lambert law, A = εlc, links absorbance to concentration: double the concentration, double the absorbance. A colorimeter in a water-testing kit is this law in a pocket device.

Chromatography separates mixtures: components travel at different speeds through a stationary phase while carried by a mobile phase. In paper chromatography, pigments separate by how strongly they stick to paper versus dissolve in the solvent; in gas chromatography (GC), a heated column separates volatile compounds, often paired with a mass spectrometer (MS) that identifies each by its mass. GC-MS is how forensic labs identify drugs and how environmental labs detect pollutants at parts-per-billion levels.

Worked example — Beer–Lambert law:
  1. A 0.020 M solution has absorbance 0.40. A sample with absorbance 0.60 has concentration (0.60/0.40) × 0.020 = 0.030 M, if path length and ε are the same.
  2. This proportional reasoning is exactly how blood-oxygen sensors and nitrate test kits estimate concentrations.
  3. Practical tip: calibration curves (absorbance vs. known concentrations) make the method robust even when ε is unknown.
Worked example — reading a chromatogram:
  1. Two spots travel 3.0 cm and 6.0 cm while the solvent front travels 8.0 cm. Retention factors: Rf = 3.0/8.0 = 0.375 and 6.0/8.0 = 0.75.
  2. Rf values are characteristic for a compound in a given solvent/paper system, so they help identify unknowns by comparison with standards.
  3. The higher-Rf compound stuck less to the paper and rode the solvent further — it is more soluble in the mobile phase.

Try it yourself: A solution's absorbance is 0.90 at 0.060 M. What is the absorbance of a 0.020 M solution of the same substance? A spot moves 2.0 cm with solvent front 10.0 cm: find Rf. Answers: A = 0.90 × (0.020/0.060) = 0.30. Rf = 0.20.

Real-world application: Airport security, Olympic drug testing, and Mars rovers (which carry spectrometers) all rely on analytical chemistry.

Key vocabulary: Spectroscopy — identifying matter by its light; Beer–Lambert law — A = εlc; chromatography — separating mixtures by differential travel; Rf — retention factor.

Lesson 18: Industrial Chemistry — The Haber Process and Scale-Up

Industrial chemistry makes reactions profitable at enormous scale. The Haber process, N₂ + 3H₂ ⇌ 2NH₃, makes ammonia for fertilizer — a reaction that feeds roughly half of humanity. It is a masterclass in applied equilibrium: the forward reaction is exothermic, so low temperature favors yield but slows the rate; high pressure favors the side with fewer gas moles (2 vs. 4). The industrial compromise: ~450°C, ~200 atm, and an iron catalyst, with unreacted gases recycled continuously.

Other industrial giants follow the same logic. The Contact process makes sulfuric acid (the world's most-produced chemical) by oxidizing SO₂ to SO₃ with a vanadium(V) oxide catalyst. The chlor-alkali process electrolyzes brine to chlorine, sodium hydroxide, and hydrogen. In every case, chemists balance yield, rate, cost, safety, and waste — Le Châtelier's principle is not abstract theory here; it is millions of dollars a day.

Worked example — Le Châtelier in the Haber process:
  1. Increase pressure: equilibrium shifts right (4 gas moles → 2), raising ammonia yield — but compressors and steel vessels cost money.
  2. Increase temperature: equilibrium shifts left (exothermic forward reaction), lowering yield — but the rate soars.
  3. Remove ammonia as it forms (condensing it out): equilibrium keeps shifting right — recycling plus product removal beats either extreme alone.
Worked example — atom economy:
  1. Atom economy = (mass of desired product)/(total mass of reactants) × 100%.
  2. For N₂ + 3H₂ → 2NH₃: reactants 28 + 6 = 34; product 2 × 17 = 34. Atom economy = 100% — nothing wasted.
  3. Contrast a reaction producing a big by-product salt: low atom economy means paying for reactants that become waste — a key green-chemistry metric.

Try it yourself: For the Contact process, 2SO₂ + O₂ ⇌ 2SO₃, what does raising pressure do to the yield? Why is the hydrogen for Haber plants usually made from methane, and what problem does that cause? Answers: Shifts right (3 gas moles → 2), raising yield. Methane + steam gives H₂ cheaply, but releases CO₂ — "grey" hydrogen; "green" hydrogen from water electrolysis avoids this.

Real-world application: Fertilizer plants, oil refineries, and pharmaceutical factories all run on equilibrium, kinetics, and atom economy.

Key vocabulary: Haber process — industrial ammonia synthesis; atom economy — share of reactant mass ending in the desired product; scale-up — moving from lab bench to plant.

Lesson 19: Medicinal Chemistry — How Drugs Are Designed

Medicinal chemistry designs molecules that change biology for the better. Most drugs work by binding to a protein target — an enzyme's active site or a cell-surface receptor — and blocking or activating it. Structure–activity relationships (SAR) map which parts of a molecule matter: change one group and the effect may vanish or improve a hundredfold. Aspirin blocks cyclooxygenase enzymes, cutting prostaglandin production and thereby pain and fever; penicillin blocks an enzyme bacteria need to build cell walls, killing them without harming human cells (which have no walls).

Drug discovery is a funnel: millions of compounds are screened, a handful become lead compounds, and chemists optimize them for potency, selectivity (hitting only the target), solubility, and safety. Pharmacokinetics tracks what the body does to the drug — absorption, distribution, metabolism, excretion (ADME) — while pharmacodynamics tracks what the drug does to the body. Clinical trials then test safety and efficacy in people, a process that often takes a decade and over a billion dollars.

Worked example — why dose matters (paracetamol):
  1. At normal doses, paracetamol is metabolized safely. At overdose, a toxic metabolite (NAPQI) overwhelms the liver's glutathione defense and destroys liver cells.
  2. The antidote, N-acetylcysteine, replenishes glutathione — chemistry countering chemistry.
  3. Lesson: "natural" and "safe" are dose questions, not categories; even water is toxic in extreme excess.
Worked example — penicillin's selectivity:
  1. Penicillin binds transpeptidase, the bacterial enzyme that cross-links peptidoglycan cell walls.
  2. Without cross-links, the wall weakens and the bacterium bursts from its own internal pressure.
  3. Human cells lack peptidoglycan, so the drug is selective — the core idea behind every antibiotic: exploit a difference between pathogen and host.

Try it yourself: A drug candidate is potent but insoluble in water. Why is that a problem? Why do bacteria become resistant to antibiotics, and how does that connect to evolution? Answers: It cannot dissolve in blood or gut fluids, so it cannot reach its target. Random mutations plus selection: resistant bacteria survive treatment and multiply.

Real-world application: HIV antiretrovirals, cancer immunotherapies, and the mRNA vaccines all came from medicinal chemistry and biochemistry.

Key vocabulary: Lead compound — a promising starting molecule; selectivity — hitting only the intended target; ADME — absorption, distribution, metabolism, excretion.

Lesson 20: Frontiers — Nanochemistry, Batteries, and Sustainable Chemistry

At the nanoscale (1–100 nm), matter behaves differently: gold nanoparticles look red, not gold; titanium dioxide nanoparticles become transparent in sunscreen while still blocking UV. Chemists now build materials atom by atom — graphene, a single layer of carbon atoms, is stronger than steel, conducts electricity better than copper, and is nearly transparent. Quantum dots — semiconductor nanocrystals whose color depends on size alone — light up TV screens and medical images.

The energy transition is a chemistry problem. Lithium-ion batteries shuttle Li⁺ ions between graphite and metal-oxide electrodes; their energy density has tripled since the 1990s, enabling phones and electric cars. Next-generation candidates include solid-state batteries, sodium-ion batteries, and hydrogen fuel cells (H₂ + ½O₂ → H₂O, with electricity instead of flame). Carbon capture chemistry — amine solutions that absorb CO₂ from flue gas — and green hydrogen from water electrolysis point toward a circular, sustainable chemical industry.

Worked example — a lithium-ion cell's voltage:
  1. A graphite/LiCoO₂ cell runs at ~3.7 V. Three in series give ~11.1 V — the nominal voltage of many laptop packs.
  2. Energy stored = charge × voltage: a 5,000 mAh (5 Ah) phone battery at 3.7 V stores 18.5 Wh.
  3. Compare gasoline: ~12,000 Wh/kg versus ~250 Wh/kg for Li-ion — chemistry explains why electric planes are hard and electric cars took decades.
Worked example — surface area at the nanoscale:
  1. A 1-cm cube has 6 cm² of surface. Cut it into 10-nm cubes and the total surface becomes 600,000 cm² (60 m²) — a millionfold increase.
  2. More surface means more reaction sites: nanocatalysts can be vastly more active than bulk catalysts.
  3. The same principle explains why fine powders (flour, coal dust) can explode: enormous surface area meets oxygen.

Try it yourself: Why does a fuel cell emit only water? If a battery stores 100 Wh and a motor uses 20 W, how long can it run? Answers: Its only chemical product is H₂O. Time = 100 Wh / 20 W = 5 hours.

Real-world application: Every course in this book converges here: kinetics, equilibrium, redox, materials, and green chemistry are the tools of the next century's chemists.

Key vocabulary: Nanoscale — 1–100 nm, where properties change; graphene — a single layer of carbon atoms; energy density — energy stored per mass or volume.

Key vocabulary

Atomic number
Proton count (Z); defines the element.
Isotope
Atoms of one element with different neutron counts, e.g. carbon-12 vs carbon-14.
Valence electron
An electron in the outermost shell; governs bonding behavior.
Group
A periodic-table column; members share valence-electron count and chemistry.
Electronegativity
An atom's hunger for shared electrons in a bond; highest for fluorine.
Ionic bond
Electron transfer from metal to nonmetal, forming oppositely charged ions.
Covalent bond
Sharing of electron pairs between atoms.
Lewis structure
A diagram of valence electrons showing bonds and lone pairs.
Hydrogen bond
Strong dipole attraction between H (on N/O/F) and N/O/F; shapes water and DNA.
Mole
6.022 × 10²³ particles; chemistry's counting unit linking grams to atoms.
Molar mass
Mass of one mole of a substance, in g/mol.
Limiting reactant
The reactant exhausted first, capping the product formed.
pH
-log[H+]; the acidity scale where each unit is a 10× concentration change.
Buffer
A weak acid/conjugate-base pair that resists pH change.
Functional group
A reactive atom group (e.g. -OH, -COOH) defining an organic family's chemistry.
Isomer
Compounds with the same formula but different atom arrangements.

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11 p+ 12 n Sodium (Na) — 2 electrons, 8 electrons, 1 electron
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