Debugging Dimensional Analysis: Catching Unit Traps and Setup Errors

Undergrad Chemistry Bridge

Path Outline

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1From What You See to What You Mean: Samples, Particles, and Representations 2Unit Literacy: Prefixes, Scientific Notation, and Dimensional Analysis That Cancels Cleanly 3Significant Figures and Rounding as Measurement Commitments 4Density as a Model-Based Conversion Between Mass and Volume 5Reading Graphs and Tables as Chemistry Evidence

6Debugging Dimensional Analysis: Catching Unit Traps and Setup Errors

7What the Periodic Table Is Telling You About Electrons 8Writing Electron Configurations as an Explanation Tool 9Why Periodic Trends Happen: Effective Nuclear Charge and Shielding 10Predicting Main-Group Ion Charges From Valence Electrons 11Atom vs Ion Size: Shells, Charge, and Electron Count 12Using Periodic Clues to Anticipate Bond Type (Preview for Bonding)

13From Observable Properties to Bonding Type 14Lewis Structures as Electron-Counting Maps 15VSEPR: Turning Electron Domains Into 3D Shape 16Polarity: When Bond Dipoles Add or Cancel 17Intermolecular Forces: Dispersion, Dipole–Dipole, and Hydrogen Bonding 18Using IMFs to Predict Boiling Points and Phases 19Ionic Lattices vs Aqueous Ions: Why Dissolving Changes Properties

20What a Balanced Equation Claims: Conservation of Atoms and Charge 21Writing Ionic Formulas From Charges (and Why Subscripts Are Constrained)22The Mole and Molar Mass as a Unit Conversion Bridge 23Counting Particles: Moles, Avogadro’s Number, and Given Gas-Volume Relations 24Using Coefficients as Mole Ratios in One-Step Reaction Conversions 25Debugging Equations and Conversions: Spotting Representation Traps

26Building Multi-Step Stoichiometry Chains You Can Trust 27Finding the Limiting Reactant by Converting to a Common Product Basis 28Theoretical Yield and Percent Yield: Ideal vs Actual Amounts 29Using Molarity as a Conversion Factor in Reaction Stoichiometry 30Dilution as Conservation of Moles of Solute (and When M1V1 = M2V2 Applies)31Stoichiometry Self-Checks: Units, Limiting Logic, and Plausibility Filters 32Mixed-Representation Stoichiometry: Choosing the Right Starting Point 33From Word Problem to Verified Answer: A Worked-Stoichiometry Capstone

34From Air in a Syringe to a Gas Model: Pressure, Volume, and Temperature 35Using the Ideal Gas Law With Units You Can Trust 36When the Ideal Gas Model Works—and When It Starts to Break 37Energy Accounting: System, Surroundings, and the Signs of q and ΔH 38Calorimetry Calculations From Given Data: q = mcΔT 39Reading Heating Curves: Temperature Changes vs Phase-Change Plateaus 40Choosing the Right Tool and Checking Assumptions: Gas Laws vs Heat Calculations

41Equilibrium as a Dynamic Balance You Can Measure 42Writing K Expressions That Match the Reaction 43Using Q vs K to Predict Which Way a System Will Shift 44Organizing Equilibrium Calculations With ICE Tables and Approximations 45Le Châtelier’s Principle With Particle and Energy Reasoning 46Rate vs Equilibrium: What Graphs Can and Cannot Tell You 47Catalysts and Activation Energy: Speeding Up Without Shifting K 48Optional Transfer: Predicting Precipitation With Q and Ksp Logic

49Acids and Bases as Conjugate Pairs in Water 50pH and pOH as Logarithmic Concentration Representations 51Strong Acids and Bases: Direct pH From Concentration 52Weak Acids: Ka, ICE Tables, and Approximation Checks 53Weak Bases and the Ka–Kb–Kw Connection 54How Buffers Work: Resist pH Change by Consuming Added Acid or Base 55Computing Buffer pH With a Conjugate-Ratio Setup 56Reading Titration Curves as Evidence for Buffer and Equivalence Regions

57Oxidation Numbers as an Electron-Accounting Representation 58Finding What Is Oxidized, Reduced, and the Agents 59Balancing Redox Equations With Half-Reactions (Acidic and Basic Media)60Reading Standard Reduction Potentials to Predict Anode, Cathode, and E°cell 61Cell Notation as a Compact Summary of a Redox Process 62Electron Flow, Ion Flow, and the Anode/Cathode Sign Trap 63Mixed Redox–Electrochem Diagnostics: From Equation to E°cell