✦ Scholar's Grimoire
High School Completion Guide
⚗ Chemistry
From atoms to reactions - everything you need for the High School Completion exam
Video Resources
🎥 Professor Dave Explains

Chemistry, physics, biology, and earth science. Short focused videos that skip the fluff.

Atomic Structure
🔭 Inside the Atom
All matter is made of atoms. Every atom has a central nucleus surrounded by a cloud of electrons.

1
Protons (+) - positively charged particles inside the nucleus. The number of protons defines what element it is.
2
Neutrons (neutral) - no charge, inside the nucleus alongside protons. Add mass but not charge.
3
Electrons (-) - negatively charged, orbit the nucleus in shells/orbitals. Tiny mass compared to protons and neutrons.
📊 Atomic Number and Mass Number
Atomic Number = number of protons (what makes the element unique)
Mass Number = protons + neutrons
Neutrons = Mass Number - Atomic Number

A neutral atom has equal protons and electrons. Carbon (C) has atomic number 6: 6 protons, 6 electrons in a neutral atom, and 6 neutrons (mass 12).

⚒ Isotopes and Electron Shells
Isotopes are atoms of the same element (same proton count) with different numbers of neutrons. Carbon-12 has 6 neutrons; Carbon-14 has 8 neutrons. Same element, slightly different mass.

Electrons orbit in energy shells. The first shell holds up to 2 electrons, the second up to 8, the third up to 18. The outermost shell electrons (valence electrons) are what determine how the atom bonds with others.
The Periodic Table
📊 Layout and Organization
The periodic table organizes all known elements by atomic number (number of protons), increasing left to right, top to bottom.

1
Periods (rows) - horizontal rows. Elements in the same period have the same number of electron shells.
2
Groups (columns) - vertical columns. Elements in the same group have the same number of valence electrons and similar chemical properties.
🌎 Key Groups to Know
GroupNameKey Trait
Group 1Alkali MetalsVery reactive, 1 valence electron, soft metals (Li, Na, K)
Group 2Alkaline Earth MetalsReactive, 2 valence electrons (Mg, Ca)
Group 17HalogensVery reactive nonmetals, 7 valence electrons (F, Cl, Br, I)
Group 18Noble GasesUnreactive, full valence shell (He, Ne, Ar)
🧰 Metals, Nonmetals, and Metalloids
Metals (left side and middle): shiny, conduct electricity and heat, malleable, ductile. Most elements are metals.

Nonmetals (upper right): poor conductors, brittle in solid form, many are gases at room temperature (H, O, N, Cl).

Metalloids / Semimetals (staircase border): properties between metals and nonmetals. Silicon (Si) is a semiconductor used in electronics.
🔬 Reading an Element Box
   6
   C
Carbon
12.011

Top number = Atomic Number (protons) = 6
Symbol = C
Name = Carbon
Bottom number = Atomic Mass (average mass of all isotopes) = 12.011

Atomic mass is not always a whole number because it is the weighted average of all naturally occurring isotopes of that element.

Chemical vs. Physical Changes
⚖ Physical Changes
A physical change alters the form or appearance of matter but does NOT create a new substance. The chemical composition stays the same.

Examples: cutting paper, melting ice, dissolving salt in water, crushing a can, tearing fabric, boiling water.

Physical changes are usually reversible. Melted ice can refreeze. Dissolved salt can be recovered by evaporating the water.
🔥 Chemical Changes
A chemical change (chemical reaction) produces one or more new substances with different properties. The original substance is gone.

Signs of a chemical change:
1
Color change - iron turns orange when it rusts
2
Gas production - bubbles forming (baking soda + vinegar)
3
Precipitate forms - a solid appears from mixing two solutions
4
Temperature change - heat released (burning) or absorbed (cold packs)
5
Light or sound produced - fireworks, explosions

Chemical changes are usually irreversible. Burned wood cannot become wood again.
Examples Side by Side
Physical: Ice melting, sugar dissolving, glass breaking, water boiling, stretching rubber
Chemical: Iron rusting, wood burning, food digesting, milk souring, fireworks exploding, baking a cake
Elements, Compounds, and Mixtures
🔭 Pure Substances
1
Element: a pure substance made of only one type of atom. Cannot be broken down into simpler substances by chemical means. Examples: gold (Au), oxygen (O), hydrogen (H). There are 118 known elements.
2
Compound: two or more elements chemically bonded together in a fixed ratio. Has different properties from its elements. Examples: water (H₂O), table salt (NaCl), sugar (C₆H₁₂O₆). Can only be separated by chemical reactions.
🫕 Mixtures
A mixture is two or more substances physically combined. Each substance keeps its own properties. Can be separated by physical methods.

Homogeneous mixture (solution): uniform throughout - every part looks the same. Examples: salt water, air, steel, lemonade.

Heterogeneous mixture: non-uniform - you can see different parts. Examples: salad, sand and gravel, pizza, oil and water.
🔬 Methods of Separation
1
Filtration: separates solids from liquids (sand from water through filter paper).
2
Evaporation: removes liquid to leave dissolved solid (recover salt from salt water).
3
Distillation: separates liquids with different boiling points (purifying water, making alcohol).
4
Magnetism: separates magnetic materials (iron filings from sand).
Chemical Bonding Basics
⚡ Why Atoms Bond
Atoms bond to achieve a full outer electron shell (usually 8 electrons for most atoms - the octet rule). A full outer shell is the most stable configuration. Noble gases (Group 18) already have full shells, which is why they don't react.
🔭 Ionic Bonds
Ionic bonds form between a metal and a nonmetal. One atom transfers electrons to the other.

Example: Sodium (Na) has 1 valence electron. Chlorine (Cl) has 7 valence electrons and wants 1 more. Na gives its electron to Cl.
Na → Na⁺ + e⁻    Cl + e⁻ → Cl⁻
Now Na⁺ and Cl⁻ attract each other (opposite charges). Ionic compounds form crystal lattice structures, have high melting points, and conduct electricity when dissolved in water.
🔭 Covalent Bonds
Covalent bonds form between two nonmetals. Instead of transferring electrons, atoms share electrons.

Example: Two hydrogen atoms each share their 1 electron to form H₂ - both atoms now effectively have a full shell.

Single bond: share 1 pair of electrons (H-H). Double bond: share 2 pairs (O=O). Triple bond: share 3 pairs (N≡N).

Electronegativity measures how strongly an atom attracts electrons. The bigger the difference between two atoms, the more ionic (polar) the bond.
Quick Comparison
Ionic: Metal + Nonmetal, electron TRANSFER, forms ions, crystal solids, high melting point, conducts when dissolved. (NaCl, MgO)

Covalent: Nonmetal + Nonmetal, electron SHARING, forms molecules, lower melting points, often gas or liquid at room temp. (H2O, CO2, CH4)
Balancing Chemical Equations
⚖ Law of Conservation of Mass
Matter cannot be created or destroyed in a chemical reaction. The number of each type of atom must be the same on both sides of the equation.

To balance: add coefficients (numbers in front of formulas) - NEVER change subscripts inside a formula, as that changes the substance.
📊 Worked Example 1: Water
1
Unbalanced: H₂ + O₂ → H₂O
2
Count atoms: Left side: 2H, 2O. Right side: 2H, 1O. Oxygen is unbalanced.
3
Put a 2 in front of H₂O to get 2 oxygen on the right: H₂ + O₂ → 2H₂O
4
Now hydrogen: Left: 2H. Right: 4H (2 x H₂O). Unbalanced.
5
Put a 2 in front of H₂: 2H₂ + O₂ → 2H₂O
6
Check: Left: 4H, 2O. Right: 4H, 2O. Balanced!
2H₂ + O₂ → 2H₂O
📊 Worked Example 2: Combustion of Methane
1
Unbalanced: CH₄ + O₂ → CO₂ + H₂O
2
Count: Left: 1C, 4H, 2O. Right: 1C, 2H, 3O.
3
Balance H: 4H on left needs 2H₂O: CH₄ + O₂ → CO₂ + 2H₂O
4
Count O now: Left: 2O. Right: 2+2 = 4O. Need 2O₂ on left.
5
Balanced: CH₄ + 2O₂ → CO₂ + 2H₂O
CH₄ + 2O₂ → CO₂ + 2H₂O
📊 Worked Example 3: Iron and Oxygen
Unbalanced: Fe + O₂ → Fe₂O₃
Balanced: 4Fe + 3O₂ → 2Fe₂O₃

Check: Left: 4Fe, 6O. Right: 4Fe (2x2), 6O (2x3). Balanced! This is the reaction that produces iron oxide (rust).

Acids, Bases, and the pH Scale
💉 The pH Scale
pH Scale: 0 -------- 7 -------- 14
        Acidic    Neutral    Basic (Alkaline)

pH 0-6 = Acid (more H⁺ ions)
pH 7 = Neutral (pure water)
pH 8-14 = Base (more OH⁻ ions)
The pH scale is logarithmic: pH 4 is 10 times more acidic than pH 5, and 100 times more acidic than pH 6.
☀️ Acids
Acids donate H⁺ (hydrogen) ions when dissolved in water. pH below 7.

Properties: sour taste (do not taste acids in lab!), react with metals to produce hydrogen gas, turn blue litmus paper pink.

Examples: HCl (hydrochloric acid, in stomach), H₂SO₄ (sulfuric acid, car batteries), CH₃COOH (acetic acid, vinegar), citric acid (lemons).
◎ Bases
Bases accept H⁺ ions (or donate OH⁻ ions) when dissolved in water. pH above 7.

Properties: bitter taste, feel slippery/soapy, turn pink litmus paper blue.

Examples: NaOH (sodium hydroxide, drain cleaner), NH₃ (ammonia, cleaning products), NaHCO₃ (baking soda, pH 8.3), Mg(OH)₂ (milk of magnesia, antacid).
⚖ Neutralization
When an acid and a base react, they neutralize each other, producing water and a salt.
Acid + Base → Salt + Water
HCl + NaOH → NaCl + H₂O

Indicators are substances that change color based on pH. Litmus paper turns pink in acids and blue in bases. Universal indicator shows a range of colors. Phenolphthalein is colorless in acid and pink in base.

States of Matter
🧠 The Four States
1
Solid: definite shape and definite volume. Particles are tightly packed in fixed positions; they can only vibrate in place. Very high density. Examples: ice, rock, steel.
2
Liquid: definite volume but NO definite shape (takes the shape of its container). Particles can slide past each other but stay close together. Examples: water, mercury, molten lava.
3
Gas: NO definite shape or volume. Particles move rapidly and randomly, spread to fill any container. Much lower density than solids or liquids. Examples: oxygen, steam, carbon dioxide.
4
Plasma: ionized gas with freely moving charged particles (ions and electrons). The most common state of matter in the universe. Found in stars, lightning bolts, neon signs, and fusion reactors.
📊 Comparing the States
StateShapeVolumeParticle Motion
SolidDefiniteDefiniteVibrate in place
LiquidIndefiniteDefiniteSlide past each other
GasIndefiniteIndefiniteMove freely and rapidly
PlasmaIndefiniteIndefiniteIons and electrons move freely
Phase Changes
🔥 The Six Phase Changes
1
Melting: solid → liquid. Absorbs heat energy. Melting point of water = 0°C (32°F).
2
Freezing: liquid → solid. Releases heat energy. Freezing point of water = 0°C.
3
Vaporization/Evaporation: liquid → gas. Absorbs heat. Boiling point of water = 100°C (212°F).
4
Condensation: gas → liquid. Releases heat. Dew forming on grass in the morning.
5
Sublimation: solid → gas (skips liquid phase). Dry ice (solid CO₂) sublimes at room temperature.
6
Deposition: gas → solid (skips liquid phase). Frost forming on a cold window on a humid morning.
📈 Heating Curve
A heating curve shows temperature vs. heat added for a pure substance. Key features:

Temperature
 ^
 |               ___Gas
 |        ____Liquid/
 |___Solid/            Vaporizing
 |      Melting
 +------------------------> Heat Added

Flat sections = phase changes (all energy goes
into breaking bonds, not raising temperature)

The heat of fusion is the energy needed to melt a solid (or released when it freezes). The heat of vaporization is the energy needed to vaporize a liquid (much larger than heat of fusion for most substances).

The Mole Concept
🧸 What Is a Mole?
A mole is a counting unit for atoms and molecules - just like a "dozen" means 12, a "mole" means a very specific (enormous) number.
1 mole = 6.022 x 10²³ particles (Avogadro's Number)

6.022 x 10²³ = 602,200,000,000,000,000,000,000. That's why we need this unit - atoms are unimaginably small, so we count them in moles.

📊 Molar Mass
Molar mass = the mass of 1 mole of a substance, in grams. It equals the atomic mass from the periodic table.
1 mole of Carbon (C) = 12.0 grams   (atomic mass = 12)
1 mole of Oxygen (O) = 16.0 grams   (atomic mass = 16)
1 mole of H₂O = 2(1.0) + 16.0 = 18.0 grams/mol

For a compound, add up the molar masses of all atoms in the formula.

🔄 Converting Between Moles and Grams
grams = moles x molar mass
moles = grams / molar mass
Example
How many grams are in 3 moles of water (H₂O)?
Molar mass of H₂O = 18.0 g/mol
Mass = 3 mol x 18.0 g/mol = 54.0 grams
Stoichiometry Basics
📊 What Is Stoichiometry?
Stoichiometry uses a balanced equation to calculate how much of each reactant is needed and how much product is formed. The coefficients in a balanced equation give the mole ratios.
🔄 Step-by-Step Process
1
Write the balanced chemical equation.
2
Identify the given substance and the unknown substance.
3
Convert given grams to moles (divide by molar mass).
4
Use the mole ratio from the balanced equation to find moles of unknown.
5
Convert moles of unknown to grams if needed (multiply by molar mass).
📊 Worked Example
Balanced equation: 2H₂ + O₂ → 2H₂O

Question: How many moles of H₂O are produced from 4 moles of H₂?

Solution
Mole ratio from equation: 2 mol H₂ produces 2 mol H₂O (ratio = 1:1)
So: 4 mol H₂ x (2 mol H₂O / 2 mol H₂) = 4 mol H₂O
Another Example: N2 + 3H2 → 2NH3
How many moles of NH₃ from 6 moles of H₂?
Mole ratio: 3 mol H₂ : 2 mol NH₃
6 mol H₂ x (2 mol NH₃ / 3 mol H₂) = 4 mol NH₃