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General Chemistry Final Whiteboard Review: Comprehensive Exam Practice

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Prepared as an all-inclusive whiteboard-style terminal checkpoint, this massive guide consolidates core mathematical and geometric formulas from a standard engineering-track chemistry curriculum. Core Chapters Covered: Matter, Naming, & Formulas: Empirical vs. molecular conversions, multiplier decimal rules, and chemical taxonomy. Isotopes & Concentrations: Mass abundances and setting up molarity, solution mass, and dilution properties. Reaction Mechanics: Identifying Redox behaviors, balancing complete vs. net ionic equations, and isolating spectator ions. The Gas State: Computing properties using Boyle's, Charles's, Combined, and Ideal Gas laws along with dry gas over water pressure variations. Thermochemistry & Quantum Systems: Calorimetry, multi-step Hess's Law alignments, tracking photon energies, and processing wavelengths. Molecular Architecture: Full formal charge configurations, extended octets for Period 3+ central atoms, VSEPR shape lookups, Sigma/Pi counting, and symmetry polarity reviews.

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PRE MI UM ACT I VE- LE A RN IN G WO RK BOO K




Chem Exam Whiteboard Review
Formulas, Isotopes, Molarity, Redox, Gas Laws, Calorimetry, Lewis Structures, VSEPR & Periodic
Trends


General Chemistry • Active-Learning Edition




How to use this workbook
1. Read the concept explanation. 2. Study the worked example. 3. Try the practice problems yourself.
4. Check your work against the Answer Key. 5. Revisit anything you missed.

, 1. Matter & Naming Compounds
Matter → Mixture (homogeneous/uniform vs heterogeneous/non-uniform) or Element/Compound. Compounds
split into Ionic (metal + nonmetal, named metal + nonmetal-ide, transition metals get a Roman numeral) and
Covalent/Molecular (two+ nonmetals, named with prefixes + name + -ide).
Term Definition
A / Z / X notation A = mass number, Z = atomic number, X = chemical symbol.
Molecular Formula Actual atom counts, found using same steps as empirical formula plus one more.
Empirical Formula Simplest whole-number ratio of atoms.

Prefixes
1-Mono, 2-Di, 3-Tri, 4-Tetra, 5-Penta, 6-Hexa, 7-Hepta, 8-Octa, 9-Nona, 10-Deca


2. Empirical & Molecular Formula (Full Method)

WORKED EXAMPLE — Finding an Empirical Formula (68.4% Cr, 31.6% O)
Step 1 — % to grams: 68.4% → 68.4 g Cr; 31.6% → 31.6 g O.
Step 2 — grams to moles: 68.4 g Cr ÷ 52.00 g/mol = 1.315 mol; 31.6 g O ÷ 16.00 g/mol = 1.975 mol.
Step 3 — divide by smallest mol value: Cr → 1.315/1.315 = 1; O → 1.975/1.315 = 1.5.
Step 4 — multiply to get whole numbers (×2): Cr2O3.

MULTIPLIER RULES (when dividing gives a decimal)
x.5 → multiply everything by 2
x.33 or x.66 → multiply everything by 3
x.25 or x.75 → multiply everything by 4
Anything else → treat as already whole (round)

WORKED EXAMPLE — Finding a Molecular Formula from an Empirical Formula
Given empirical formula C5H7N, and known molecular molar mass = 162 g/mol.
Step 1 — Find the empirical formula's molar mass: C: 5(12.01) + H: 7(1.01) + N: 1(14.01) = 81.13 g/mol.
Step 2 — Divide molecular mass by empirical mass: 162 ÷ 81.13 ≈ 2.
Step 3 — Multiply every subscript in the empirical formula by that whole number: C10H14N2.

✏ TRY IT YOURSELF
1. A compound has an empirical formula of CH2O and a molar mass of 180 g/mol. Find the molecular formula.
2. A compound is 40.0% C, 6.7% H, 53.3% O by mass. Find the empirical formula.

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July 11, 2026
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