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NY Regents · Chemistry

Chemistry Study Guide Expanded Edition

16 Units · 469 Quiz Questions · 155 Flashcards · Full Reference Tables · Diagrams · Tuned to Jan 2026 Regents

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Core Formulas (Table T)

Density
D = m / V
% Error
|meas − accept| / accept × 100
Moles
n = m / GFM
Avogadro
1 mol = 6.02×10²³ particles
Kelvin
K = °C + 273
q = mCΔT
Sloped sections — T changing
q = mH_f
Melting/freezing (flat at MP)
q = mH_v
Boiling/condensing (flat at BP)
pH
pH = −log[H⁺]
pH + pOH
= 14 (at 25°C)
Kw
[H⁺][OH⁻] = 1×10⁻¹⁴
Titration (1:1)
M_A × V_A = M_B × V_B
Molarity
M = mol solute / L solution
ppm
(m_solute / m_solution) × 10⁶
Dilution
M₁V₁ = M₂V₂
Combined Gas
P₁V₁/T₁ = P₂V₂/T₂
% Composition
(mass part / total mass) × 100
Half-Life
A = A₀ × (½)^(t/t₁/₂)
ΔH (bonds)
ΔH = bonds broken − bonds formed
Atomic Mass
Σ(mass × fractional abundance)
Molar Volume (STP)
1 mol gas = 22.4 L
% Yield
actual / theoretical × 100
ΔG (Gibbs)
ΔG = ΔH − TΔS (spont. if < 0)
Stoichiometry
g ÷ GFM_given × ratio × GFM_want

Nuclear Particle Changes

Decay TypeSymbolMass # ChangeAtomic # ChangePenetration
Alpha (α)⁴₂He−4−2Stopped by paper
Beta⁻ (β⁻)⁰₋₁e0+1Stopped by aluminum
Positron (β⁺)⁰₊₁e0−1Stopped by aluminum
Gamma (γ)⁰₀γ00Needs lead/concrete

Indicator Table (Table M)

IndicatorTransition pHAcid ColorBase Color
Methyl orange3.1–4.4RedYellow
Bromcresol green3.8–5.4YellowBlue
Litmus4.5–8.3RedBlue
Bromthymol blue6.0–7.6YellowBlue
Thymol blue8.0–9.6YellowBlue
Phenolphthalein8.2–10.0ColorlessPink/Fuchsia

Oxidation Number Rules (Priority Order)

  1. Free elements: any uncombined element = 0 (Na, O₂, Cl₂, Fe)
  2. Monatomic ions: oxidation # = ion charge (Na⁺=+1, Cl⁻=−1, Fe³⁺=+3)
  3. Group 1 in compounds: always +1 (Li, Na, K, Rb, Cs)
  4. Group 2 in compounds: always +2 (Mg, Ca, Ba, Sr)
  5. Fluorine: always −1 (most electronegative element)
  6. Hydrogen: +1 usually; −1 in metal hydrides (NaH, CaH₂, LiH)
  7. Oxygen: −2 usually; −1 in peroxides (H₂O₂, Na₂O₂); +2 with F only
  8. Sum rule: sum of all oxidation numbers = 0 (neutral) or = ion charge (polyatomic)

Half-Life Reference Table

# Half-LivesFraction Left% Remaining% Decayed
01100%0%
11/250%50%
21/425%75%
31/812.5%87.5%
41/166.25%93.75%
51/323.125%96.875%

VSEPR Molecular Geometry

Bonding PairsLone PairsGeometryBond AngleExample
20Linear180°CO₂, BeCl₂
30Trigonal planar120°BF₃, SO₃
40Tetrahedral109.5°CH₄, CCl₄
31Trigonal pyramidal107°NH₃
22Bent/V-shaped104.5°H₂O

Electrochemistry Summary

PropertyVoltaic (Galvanic) CellElectrolytic Cell
Energy conversionChemical → ElectricalElectrical → Chemical
Spontaneous?YesNo (needs external power)
Anode signNegative (−)Positive (+)
Cathode signPositive (+)Negative (−)
At anodeOxidation (always)Oxidation (always)
At cathodeReduction (always)Reduction (always)
Electron flowAnode → Cathode (wire)Cathode ← Anode (wire)

Strong Acids & Bases (Memorize)

Strong Acids (6)
HCl, HBr, HI, HNO₃, H₂SO₄, HClO₄
Strong Bases
NaOH, KOH, Ca(OH)₂, Ba(OH)₂, LiOH
Weak Acid examples
HF, CH₃COOH, H₂CO₃, H₃PO₄
Weak Base examples
NH₃, Al(OH)₃

Reference Table Guide (All Tables)

Table A
STP: 273 K, 101.3 kPa, 1 atm, 760 mmHg
Table B
Water constants: C=4.18 J/g·K, H_f=334 J/g, H_v=2260 J/g
Table C
Selected polyatomic ions (NH₄⁺, OH⁻...)
Table D
Selected units and measurements
Table E
Polyatomic ions (NO₃⁻, SO₄²⁻, CO₃²⁻, PO₄³⁻...)
Table F
Solubility rules — predicts precipitates
Table G
Solubility curves (g/100g H₂O vs temp)
Table H
Vapor pressure curves (BP = where VP = 101.3 kPa)
Table I
Heats of reaction (ΔH values in kJ/mol)
Table J
Activity series — metal/halogen reactivity ranking
Table K
Common acids and their formulas
Table L
Common bases and their formulas
Table M
Indicators — pH ranges and color changes
Table N
Radioisotopes — half-lives, decay modes, medical uses
Table O
Nuclear symbols (α, β, γ, positron)
Table P
Organic functional groups
Table Q
Organic prefixes (meth=1, eth=2, prop=3...)
Table R
Organic reactions
Table S
Properties of selected elements (EN, radius, ionization E)
Table T
Important formulas (density, gas laws, pH, etc.)

Electronegativity & Bond Type

ΔEN RangeBond TypeExample
0 – 0.4Nonpolar covalentCl-Cl, C-H, H-H
0.4 – 1.7Polar covalentH-O, H-N, H-Cl
≥ 1.7IonicNa-Cl, Mg-O, Ca-F

Gas Laws Quick Reference

LawFormulaConstantRelationship
Boyle'sP₁V₁ = P₂V₂T, nP and V inverse
Charles'sV₁/T₁ = V₂/T₂P, nV and T direct
Gay-Lussac'sP₁/T₁ = P₂/T₂V, nP and T direct
CombinedP₁V₁/T₁ = P₂V₂/T₂nAll three
Avogadro'sEqual V at same T,P = equal nT, PV and n direct

Organic Chemistry Quick Reference

SeriesGeneral FormulaBond TypeExample
AlkanesCₙH₂ₙ₊₂Single only (saturated)CH₄, C₂H₆, C₃H₈
AlkenesCₙH₂ₙOne double bondC₂H₄, C₃H₆
AlkynesCₙH₂ₙ₋₂One triple bondC₂H₂ (acetylene)
CycloalkanesCₙH₂ₙRing, single bondsC₃H₆ (cyclopropane)
Functional GroupName ClassSuffixExample
−OHAlcohol-olethanol (C₂H₅OH)
−COOHCarboxylic acid-oic acidethanoic acid (CH₃COOH)
−COO−Ester-anoateethyl ethanoate
−CHOAldehyde-almethanal (formaldehyde)
C=O (chain)Ketone-onepropanone (acetone)
−NH₂Amine-aminemethylamine
Reaction (Table R)ReactantsProductsKey fact
FermentationC₆H₁₂O₆2C₂H₅OH + 2CO₂Yeast, anaerobic, makes alcohol
EsterificationAcid + AlcoholEster + H₂OReversible
SaponificationEster + NaOHSoap + AlcoholReverse of esterification
AdditionAlkene + H₂/Cl₂Saturated productBreaks double bond
SubstitutionAlkane + halogenHaloalkane + HXReplaces H with halogen
CombustionCₓHᵧ + O₂CO₂ + H₂OComplete combustion always
Polymerizationn(monomer)PolymerEthene → polyethylene
Naming prefixes
meth=1, eth=2, prop=3, but=4, pent=5, hex=6, hept=7, oct=8
Isomers rule
Same molecular formula, different structural formula → isomers
Allotropes (Q7 exam)
O₂ vs O₃: same element, different structure → different properties
Organic = contains C
Exceptions: CO, CO₂, CO₃²⁻, CN⁻ are inorganic

Crystallization & Stoichiometry Quick Reference

Crystallization trigger
Cool saturated solution OR evaporate solvent → supersaturated → crystals form
Amount crystallized
Solubility(T_high) − Solubility(T_low) per 100 g H₂O
Seed crystal
Nucleation surface; triggers crystallization from supersaturated solution
Best candidate for recrystallization
Substance with steep solubility curve (e.g., KNO₃)
Stoichiometry roadmap
g ÷ GFM_given × (mol wanted/mol given) × GFM_wanted
Limiting reagent test
Convert both reactants to mol of product → smaller answer = limiting
% yield
actual ÷ theoretical × 100 (never > 100%)
Gas stoichiometry (STP)
Volumes react in same ratio as coefficients; 1 mol = 22.4 L

Periodic Trends Summary

PropertyAcross Period (L→R)Down Group (↓)Largest Value
Atomic radiusDecreasesIncreasesFr (bottom-left)
Ionization energyIncreasesDecreasesHe (top-right)
ElectronegativityIncreasesDecreasesF (4.0)
Metallic characterDecreasesIncreasesFr (bottom-left)
Ionic radius (cations)DecreasesIncreasesCs⁺

Table I — Heats of Dissolving (Tested on Regents!)

CompoundΔH (dissolving)TypeEffect on solution
NaOH(s)Negative (−)ExothermicSolution gets WARM
NH₄NO₃(s)Positive (+)EndothermicSolution gets COLD (cold packs)
KNO₃(s)Positive (+)EndothermicSolution gets COLD
NH₄Cl(s)Positive (+)EndothermicSolution gets COLD

Physical vs Chemical Equilibrium

TypeExampleWhat's equalClosed system?
Physical equilibriumSealed flask with liquid H₂OEvaporation rate = condensation rateYes
Chemical equilibriumN₂ + 3H₂ ⇌ 2NH₃Forward rate = reverse rateYes
Reading conc-vs-time graph
Equilibrium = where ALL lines become flat and stay flat
PE during evaporation
PE INCREASES as molecules escape IMFs; KE (temp) of remaining liquid DECREASES → cooling
Heat flow direction
Always flows from HIGH temperature to LOW temperature
Control group (lab)
The unchanged baseline — e.g., dry towel in evaporation experiment

Top 15 Exam Traps

  1. Always convert °C to Kelvin before using gas law formulas (K = °C + 273).
  2. Dissolving is a PHYSICAL change — NaCl can be recovered by evaporation.
  3. Activation energy (Ea) is measured from REACTANTS up to the peak — not from zero.
  4. Catalyst lowers Ea but does NOT change ΔH or shift equilibrium position.
  5. CO₂ has polar bonds but is a nonpolar MOLECULE — linear geometry cancels dipoles.
  6. Ionic solids do NOT conduct electricity — only when molten or dissolved (ions mobile).
  7. Saturated ≠ concentrated. Saturated = at maximum capacity (on the solubility curve line).
  8. pH scale is LOGARITHMIC: each 1-unit difference = 10× change in [H⁺].
  9. Single replacement: check Table J first. If replacing element is lower → NR.
  10. Only COEFFICIENTS can be changed when balancing — never subscripts.
  11. Voltaic vs. electrolytic: anode terminal signs flip, but oxidation is ALWAYS at the anode.
  12. Nuclear equations: BOTH mass numbers AND atomic numbers must balance.
  13. Half-life is constant — unaffected by temperature, pressure, or chemical form.
  14. Excited state still has the correct number of electrons — they're just not in lowest levels.
  15. Strength ≠ concentration — a dilute HCl solution is still a STRONG acid (100% ionized).

Exam Day Checklist

  • Use Table T first — it lists all the formulas you'll need.
  • Know which Reference Table to use: J (activity series), F (precipitates), M (indicators), N (radioisotopes), G (solubility curves).
  • Show all work with units. Dimensional analysis prevents errors.
  • Start with questions you know best; circle and skip difficult ones.
  • Gas laws: write down given values, identify what's constant, pick the right formula.
  • Nuclear equations: always verify mass numbers AND atomic numbers balance.
  • For PE diagrams: mark reactants, peak, and products before reading Ea or ΔH.
  • Treat heat as a substance (reactant or product) for Le Chatelier problems.
  • Oxidation number assignments: use the 8 rules in priority order.
  • Check units in your final answer before moving on.
Quick ways to lock in the facts you keep forgetting. Read the big trick, then the small note tells you what it unlocks. Say them out loud — silly is memorable.

Matter, Measurement & Atoms

Can you get it back?
Physical change: the original substance can be recovered (melt ice, freeze it back). Chemical change: you can't un-burn wood — a genuinely new substance formed.
Fixed = compound, flexible = mixture
Compounds have a fixed ratio of elements (H₂O is always 2:1). Mixtures can be any ratio — that's what makes them physically separable.
Distill by degree, filter what's firm
Distillation separates liquids by different boiling points. Filtration catches an insoluble solid in a filter.
Zeros: leading lies, trailing tells, captive counts
Leading zeros (0.0025) are never significant. Trailing zeros only count WITH a decimal point (1500. = 4 sig figs). Captive zeros (2005) always count.
Add keeps the least decimal, multiply keeps the least digit
Adding/subtracting: round to the fewest decimal places among your numbers. Multiplying/dividing: round to the fewest total sig figs.
Same P, different N = isotope
Isotopes have the same number of protons but a different number of neutrons — mass number varies, atomic number doesn't.

Periodic Table & Bonding

Down gets big, across gets small
Atomic radius increases going down a group (more energy levels) and decreases going across a period (more protons pull electrons in).
Ionization energy is the opposite of radius
Small atom = electrons held tight = high ionization energy. IE increases across a period, decreases down a group — the reverse of atomic radius.
Fluorine is the greediest
Electronegativity peaks at fluorine (top-right of the table, excluding noble gases) — it pulls shared electrons hardest of any element.
Metal + nonmetal = ionic, nonmetal + nonmetal = covalent
Ionic bonds transfer electrons (big electronegativity gap). Covalent bonds share electrons (both nonmetals, similar electronegativity).
Symmetric cancels, lopsided doesn't
A molecule with polar bonds can still be nonpolar overall if its shape is symmetric (like CO₂) — the bond dipoles cancel out.
VSEPR: count the groups around the center
4 bonding groups, 0 lone pairs = tetrahedral. 4 groups, 1 lone pair = trigonal pyramidal. 4 groups, 2 lone pairs = bent.

Quantities & Reactions

Moles are always the bridge
Every stoichiometry problem goes grams → moles → moles → grams. You can never skip straight from one substance's grams to another's.
Limiting runs out first, excess is left over
Whichever reactant produces the smaller amount of product is the limiting reagent — it runs out first and stops the reaction.
Yield can't beat 100%
% yield = actual ÷ theoretical × 100. An answer over 100% means a math error somewhere.
One becomes many, many become one
Synthesis: two reactants → one product. Decomposition: one reactant → many products — think of them as opposites.
Higher on the list wins
Table J's activity series: a metal can only replace a less active metal below it. Asking it to replace something above it means "no reaction."
Balance coefficients, never subscripts
Only the big numbers in front of formulas can change when balancing. Changing a subscript changes the substance itself.

Phases & Gases

Flat means it's changing phase
On a heating curve, a flat plateau means energy is breaking intermolecular forces, not raising temperature — melting or boiling in progress.
Gas particles don't care about each other
KMT: gas particles have negligible volume and no attraction to each other — that's why gases compress easily and fill any container.
Tyndall = you can see the beam
A light beam becomes visible passing through a colloid because its particles are big enough to scatter light — true solutions don't do this.
Squeeze it, it heats up pressure-wise
Boyle's Law: P and V are inversely related at constant T — squeeze the volume down, pressure goes up.
Charles says heat it, it grows
Charles's Law: V and T are directly related at constant P — heat a balloon, it expands.
STP is the universal starting line
At STP (0°C, 1 atm), 1 mole of any gas = 22.4 L. Always convert Celsius to Kelvin before plugging into a gas law.

Solutions & Thermochemistry

Above the line, it won't all dissolve
On a solubility curve, a point above the curve means undissolved solid remains — the solution at that point is saturated at most.
Concentrated ≠ saturated
Saturated means at the max the solvent can hold. Concentrated just means "a lot of solute" — a dilute solution can still be saturated if the solute barely dissolves.
Dilution: moles don't change
M₁V₁ = M₂V₂ works because adding water changes concentration, not the actual moles of solute present.
Exo EXits heat, endo takes it IN
Exothermic reactions release heat to the surroundings. Endothermic reactions absorb heat from the surroundings.
Flat parts on a PE diagram are phase changes
Sloped line = temperature changing (q = mCΔT). Flat line = phase changing at constant temperature (q = mH_f or mH_v).
Activation energy is measured from where you start
Ea is measured from the reactants up to the peak of the curve, not from zero — a common exam trap.

Equilibrium & Acids/Bases

Stress it, it shifts away
Le Chatelier's Principle: add stress (more reactant, less product, heat, pressure) and equilibrium shifts to relieve it, away from the stress.
Catalysts speed up, don't show up
A catalyst lowers activation energy and speeds a reaction, but isn't consumed and does NOT change ΔH or shift the equilibrium position.
Down the pH scale, up the acid
Each drop of 1 on the pH scale means [H⁺] is 10× bigger — pH is logarithmic, not linear.
Arrhenius: acids give H⁺, bases give OH⁻
That's the whole definition — an Arrhenius acid donates H⁺ ions in water, an Arrhenius base donates OH⁻ ions.
Strong means it splits all the way
Strong acids/bases ionize 100% in water. A dilute strong acid is still STRONG — don't confuse concentration with strength.
More collisions, more successful hits
Reaction rate increases with more concentration, more surface area, higher temperature, or a catalyst — all mean more effective collisions.

Redox & Nuclear

LEO the lion says GER
Lose Electrons = Oxidation. Gain Electrons = Reduction. Oxidation number goes up when you lose electrons, down when you gain them.
An OX and a RED CAT
Anode = OXidation (always). Cathode = REDuction (always) — true in both voltaic and electrolytic cells, even though the charge signs flip between them.
Free elements start at zero
Any uncombined element (Na, O₂, Fe) has an oxidation number of 0 — rule #1 before anything else.
Alpha is heavy, beta is light, gamma is nothing
Alpha decay: mass −4, atomic number −2. Beta decay: mass unchanged, atomic number +1. Gamma: neither changes — pure energy.
Half-life doesn't care about anything else
Half-life is constant no matter the temperature, pressure, or chemical form the isotope is in — a purely nuclear property.
Fission splits big, fusion joins small
Fission breaks a heavy nucleus (like U-235) into smaller pieces. Fusion joins light nuclei (like hydrogen) into a bigger one — the sun runs on fusion.

Organic Chemistry

Meth-Eth-Prop-But: count the carbons
Methane(1)-Ethane(2)-Propane(3)-Butane(4) — the prefix always tells you the carbon count, no matter the functional group.
-ane is full, -ene has one, -yne has two
Saturated hydrocarbons (all single bonds) end in -ane. One double bond = -ene. One triple bond = -yne.
Same family, one CH₂ apart
A homologous series is a family with the same general formula and functional group, where each member differs from the next by exactly one CH₂ unit.
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