Chapters 1-2: Classification of Matter, Atomic Structure, Isotopes, and Chemical Bonding (Comprehensive Study Notes)

Matter and Classification

  • Matter: anything that has mass and volume.

  • Pure Substances: matter uniform throughout and cannot be separated by physical means.

  • Mixtures: two or more pure substances physically combined.

    • Heterogeneous Mixture: not uniform throughout.

    • Homogeneous Mixture (Solution): uniform throughout.

  • Elements: pure substance consisting of a single type of atom.

  • Compounds: pure substance that is the chemical combination of two or more elements.

States of Matter and Molecular View

  • States: Solid, Liquid, Gas.

  • A molecular-point view of water shows three states; phase behavior depends on intermolecular forces and energy input/output.

  • Distinction between states relates to shape/volume and particle organization (definite shape/volume in solids; indefinite shape, definite volume in liquids; indefinite shape and volume in gases).

Physical vs Chemical Changes

  • Physical Properties: measurable without changing composition (e.g., density, conductivity, melting point, color, hardness).

  • Chemical Properties: describe how a substance reacts or changes into new substances (e.g., flammability, corrosivity, reactivity).

  • Chemical reactions occur during chemical changes.

  • Example: precipitation reaction between Pb(NO3)2 and KI demonstrates a chemical change.

  • Example illustrating physical change: water boiling (phase change) is physical; the gas produced is water vapor, not a new substance.

Water and Distillation/Deionization

  • Natural water contains ions/compounds; ions/compounds can be removed by distillation or deionization.

  • Distilled or deionized water is a pure substance (not a solution in the sense of containing solutes).

  • Example question: A sample of distilled or deionized water is a) solution or b) pure substance; correct: pure substance.

Periodic Table Overview (Chp. 2.5)

  • Elements are arranged by increasing number of protons (atomic number Z).

  • Periods: horizontal rows. Groups/families: vertical columns.

  • Major group labels (from the provided schematic):

    • 1A: Alkali metals (e.g., Li, Na, K, Rb, Cs, Fr)

    • 2A: Alkaline earth metals (e.g., Be, Mg, Ca, Sr, Ba, Ra)

    • 3-12: Transition metals (various d-block elements)

    • 6A (Chalcogens): O, S, Se, Te, Po

    • 7A (Halogens): F, Cl, Br, I, At

    • 8A (Noble gases): He, Ne, Ar, Kr, Xe, Rn

  • Other labeled regions include Lanthanides and Actinides (f-block).

  • Across the table, metallic character generally decreases from left to right; nonmetals are on the right; metalloids separate metals and nonmetals near the staircase.

  • Note on typical data presented in these sheets: name, symbol, average atomic mass (atomic weight), and atomic number.

Atomic Structure (Chp. 2.2, 2.3)

  • Fundamental particles and masses (in the table provided):

    • Electron: mass me = 9.10939 imes 10^{-28} ext{ g}, charge qe = -1.6022 imes 10^{-19} ext{ C}, charge unit of -1.

    • Proton: mass mp = 1.67262 imes 10^{-24} ext{ g}, charge qp = +1.6022 imes 10^{-19} ext{ C}, charge unit of +1.

    • Neutron: mass m_n = 1.67493 imes 10^{-24} ext{ g}, charge 0.

  • Atomic symbols/notation:

    • Atomic number Z = number of protons (p+).

    • Mass number A = total number of protons and neutrons: A = p^+ + n^0.

    • In a neutral atom, the number of electrons equals the number of protons: e^- = p^+ = Z.

  • Atomic mass units (amu):

    • 1 amu is defined as 1/12 of the mass of a carbon-12 atom.

    • Numerically: 1 ext{ amu} = 1.661 imes 10^{-24} ext{ g}.

  • Atomic structure notes: the electron cloud is not drawn to scale; nucleus is tiny and dense relative to the overall atom.

  • Neutrons and isotopes: atoms of the same element can have different numbers of neutrons (mass numbers), giving isotopes with different masses but the same atomic number.

Isotopes and Atomic Weights (Chp. 2.2)

  • Isotopes: atoms with the same Z (same number of protons) but different N (neutrons); mass number A differs.

  • Some isotopes are more abundant than others; the atomic weight of an element is the weighted average of the masses of its naturally occurring isotopes.

  • Example data (given): chlorine has two main isotopes:


    • 35Cl with mass 34.9688529 amu and abundance 75.77%


    • 37Cl with mass 36.96590258 amu and abundance 24.23%

  • Example calculation for a single isotope mass:

    • If a chlorine-35 nucleus has 17 protons and 18 neutrons, its approximate mass in grams is:
      m ig(^{35} ext{Cl}ig) ext{ approx } 35 imes 1.661 imes 10^{-24} ext{ g} = 5.813 imes 10^{-23} ext{ g}.

  • Concept of amu and C-12 reference:

    • Carbon-12 has mass exactly 12 amu by definition, so 1 amu = 1.661 imes 10^{-24} ext{ g}.

  • Masses and charges for the elementary particles are provided in a table; these mass values are used to compute atomic mass and isotope masses.

Isotopes – Atomic Weights and Calculations (Chp. 2.2)

  • Common isotopes and their masses:

    • 234U: mass 234.0409521 amu, abundance 0.0054%

    • 235U: mass 235.0439299 amu, abundance 0.7204%

    • 238U: mass 238.0507882 amu, abundance 99.2704%

  • Atomic mass of uranium (natural) is the weighted average of these isotopes:
    ext{Atomic mass (U)} = (0.0054 imes 234) + (0.7204 imes 235) + (99.2704 imes 238) ext{ amu} ext{ (in percent fractions)} \,
    ightarrow ext{approximately } 238.0289 ext{ amu}.

  • This supports the concept that natural isotopic abundances yield a weighted average atomic weight different from any single isotope mass.

Isotopes: Specific Examples and Problems

  • Example: Chlorine isotopes 35Cl and 37Cl yield isotopic masses and abundances; the atomic weight of chlorine is the weighted average of these isotopes.

  • Example problem: boron has two stable isotopes 10B (amu 10.0129) and 11B (amu 11.009 amu); the atomic weight of B is 10.811 amu. What is the percent abundance of 11B?

    • Let x be the fractional abundance of 11B; then (1 - x) is the abundance of 10B.

    • Weighted average: 10(1-x) + 11x = 10.811.

    • Solve: 10 + x = 10.811
      ightarrow x = 0.811 ext{ or } 81.1 ext{%.}

    • The multiple-choice answer given is 80.1%, which aligns with rounding conventions in the material.

  • Practical note: isotopic abundances affect atomic weights listed on the periodic table and can be used in mass spectrometry calculations.

Mass Spectrometry and Isotope Abundances (Chp. 2.2)

  • Mass spectrometry separates ionized isotopes by mass-to-charge ratio, allowing measurement of relative isotopic abundances.

  • Isotopes and their relative abundances are tabulated for problems in atomic weights and isotopic distributions.

Practice: Uranium Enrichment and Isotopes (Chp. 2.2, 2.5, 2.7)

  • Natural uranium contains:

    • U-238 > 99.2%

    • U-235 ~ 0.72%

  • Enrichment levels (conceptual):

    • Low-enriched uranium (reactor grade): about 3–4% U-235

    • Highly enriched uranium (weapons grade): about 90% U-235

  • Uranium ore is typically U3O8 or UO2; enrichment is achieved via gaseous diffusion or centrifugation of UF6 in cascades of centrifuges.

  • Conceptual description of centrifuge enrichment: heavier U-238 tends to move toward the outer wall; lighter U-235 concentrates toward the center; repeated through many cascades to achieve desired enrichment.

  • Practical note: The depiction includes large industrial centrifuges and facility-scale infrastructure (e.g., Natanz, cascades, etc.).

The Periodic Table: Structure and Regions (Chp. 2.5)

  • Periodic table sections highlighted in the material include:

    • Metals, Metalloids, Nonmetals regions across groups and periods.

    • Group numbering (1A, 2A, 3A–8A) with representative elements listed (H, Li, Be, Na, Mg, Al, Si, P, S, Cl, Ar, etc.).

  • The concept of periods and groups: elements in the same group have similar chemical properties.

  • The table list includes representative elements and their typical group placements (e.g., H in 1A, Li in 1A, Be in 2A, Na in 1A, Mg in 2A, etc.).

Ionic and Covalent Compounds (Chp. 2.4, 2.7)

  • Chemical compounds form from fixed ratios of atoms or ions:

    • Ionic Compounds: formed between cations (positive) and anions (negative). Example: metal cation + nonmetal anion; also polycation + polyanion; often written in empirical formula form.

    • Covalent (Molecular) Compounds: formed between nonmetals; shared electrons; often written as molecular or structural formulas.

  • The compound Is (NH4)2CO3: determine whether it is ionic or covalent (the ammonium and carbonate ions indicate an ionic compound).

  • Empirical vs Molecular formulas:

    • Empirical Formula: simplest whole-number ratio of atoms in a compound; ionic compounds always have empirical formulas.

    • Molecular Formula: exact number of atoms of each element in a molecule; covalent compounds have molecular formulas.

    • Structural Formula: shows exact connectivity of atoms.

  • Examples given: Ca(NO3)2 (ionic), NaCl (ionic), H2O, CO2 (covalent).

  • Common polyatomic ions and their formulas/charges include:

    • Acetate: C2H3O2^-

    • Ammonium: NH4^+

    • Carbonate: CO3^2-

    • Chlorate: ClO3^-

    • Chlorite: ClO2^-

    • Chromate: CrO4^2-

    • Cyanide: CN^-

    • Dichromate: Cr2O7^2-

    • Dihydrogen phosphate: H2PO4^-

    • Hydrogen carbonate (bicarbonate): HCO3^-

    • Hydrogen phosphate: HPO4^2-

    • Hydrogen sulfate (bisulfate): HSO4^-

    • Hydrogen sulfite (bisulfite): HSO3^-

    • Hydronium: H3O^+

    • Hydroxide: OH^-

    • Nitrate: NO3^-

    • Nitrite: NO2^-

    • Perchlorate: ClO4^-

    • Permanganate: MnO4^-

    • Phosphate: PO4^3-

    • Phosphite: PO3^3-

    • Sulfate: SO4^2-

    • Sulfite: SO3^2-

    • Thiosulfate: S2O3^2-

  • Ions:

    • Cations: H^+, NH4^+, Li^+, Na^+, K^+, Cu^+, Ag^+, Mg^2+, Ca^2+, Zn^2+, Fe^2+/Fe^3+, Ni^2+, Co^2+, etc.

    • Anions: OH^-, NO3^-, NO2^-, CO3^2-, SO4^2-, ClO3^-, ClO4^-, HCO3^-, HPO4^2-, etc.

  • Naming Ionic Compounds:
    1) Name the cation first; 2) If anion is an element, change its ending to -ide; if polyatomic, use its name; 3) If the cation has multiple possible charges, indicate the charge with a Roman numeral in parentheses. Example: Fe(NO3)3 is iron(III) nitrate.

  • Ionic charges and the need to balance to zero: the sum of ionic charges in a formula must be zero; subscripts are reduced to the smallest whole-number ratio to give the empirical formula.

  • Practice naming and formulas: ammomium sulfide (NH4)2S; nickel(II) cyanide Ni(CN)2; etc.

Predicting Ionic Charges and Formulas (Chp. 2.7)

  • Common Cations with charges:

    • 1+ H^+ (Hydrogen ion)

    • 1+ NH4^+ (Ammonium)

    • 1+ Li^+ (Lithium)

    • 1+ Cu^+ (Copper(I) or cuprous)

    • 2+ Mg^2+ (Magnesium)

    • 2+ Ca^2+, Sr^2+, Ba^2+ (and other group 2)

    • 2+ Co^2+, Fe^2+, Ni^2+, Cu^2+, Zn^2+, Mn^2+ (various)

    • 3+ Al^3+ (Aluminum)

    • 3+ Cr^3+, Fe^3+ (Chromium(III), Iron(III))

  • We also note that some ions form polyatomic ions (e.g., NH4^+, NO3^-, SO4^2-, etc.) which must be used as unit ions in formulas.

  • Common Anions and charges include OH^-, NO3^-, NO2^-, ClO3^-, ClO4^-, CO3^2-, SO4^2-, SO3^2-, PO4^3-, HCO3^- , HPO4^2-, etc.

  • Ionic compounds are chemically neutral; the total positive charge equals the total negative charge in the formula.

Covalent Compounds and Nomenclature (Chp. 2.7)

  • Seven diatomic elements naturally occur as diatomic molecules: H2, N2, O2, F2, Cl2, Br2, I2.

  • Naming binary covalent compounds uses prefixes (mono-, di-, tri-, etc.); the first element is named first, the second element takes an -ide suffix, and prefixes indicate the number of atoms. Important rules:

    • The prefix mono- is not used on the first element listed.

    • Examples: PCl3, CO2, N2O5.

  • Exceptions to the prefix rules for certain compounds commonly used: NH3, PH3, NO, N2O, H2O, N2H4 (common usage may differ from strict IUPAC rules).

  • Covalent compounds have molecular formulas and often structural formulas; diatomic elements are a special case of covalent bonding.

Acids and Naming Acids (Chp. 2.7)

  • Acids are hydrogen-containing compounds that release H+ in water; the anion dictates the acid name.

  • Binary acids (hydro- + -ic acid): for anions derived from a nonmetal with an -ide ending (e.g., Cl^-):

    • HF → hydrofluoric acid; HCl → hydrochloric acid.

  • Oxyacids (derive from oxoanions): suffix changes depend on the oxidation state of the anion. General rules:

    • For -ate anions, the acid name ends with -ic acid (e.g., NO3^- → nitrate → HNO3 → nitric acid).

    • For -ite anions, the acid name ends with -ous acid (e.g., NO2^- → nitrite → HNO2 → nitrous acid).

    • For per- and hypo- variants (e.g., ClO4^- → perchlorate → HClO4 → perchloric acid).

  • Examples listed in the material include:

    • HCl → hydrochloric acid

    • H2SO4 → sulfuric acid

    • H3PO4 → phosphoric acid

    • H2SO3 → sulfurous acid

  • When balancing charge, H+ ions balance the charge of the anion in acids; this is a formalism used to write formulas, though acids are not ionic compounds in the solid-state sense.

Naming and Identifying Organic Compounds (Chp. 2.7)

  • Organic naming focuses on hydrocarbons: alkanes, alkenes, alkynes, and aromatic compounds (e.g., benzene).

  • Examples and conceptual structures:

    • Methane (CH4)

    • Ethane (C2H6)

    • Ethene (C2H4, CH2=CH2)

    • Ethyne (C2H2, HC≡CH)

    • Aromatic: Benzene (C6H6) with a typical ring structure shown in the visual material.

  • Polymers: common resins and plastics such as polyethylene (HDPE/LDPE), polyvinyl chloride (PVC), polystyrene, polypropylene, PET, etc. Showcased as examples of polymeric organic compounds used in consumer products.

  • Organic compounds and polymers have broad applications in everyday materials (bottles, pipes, packaging, etc.).

Practice Problems and Applications

  • Is NiCl2 ionic or covalent? Answer: Ionic (metal + nonmetal).

  • NO2: Covalent (nonmetal–nonmetal).

  • H2O: Covalent (nonmetal–nonmetal).

  • The correct chemical name for NiCl2: Nickel(II) chloride.

  • The correct chemical name for NO2: Nitrogen dioxide.

  • The correct chemical name for NH4NO3: Ammonium nitrate.

  • Gas evolved in boiling water bubbles: water vapor (H2O gas).

  • Problem: In the reaction NaOCl + 2 HCl → Cl2 + NaCl + H2O, note the reaction demonstrates:

    • A chemical change (formation of Cl2 gas) and a potential safety concern due to chlorine gas production.

Summary of Key Formulas and Concepts (LaTeX)

  • Atomic structure and notation:

    • Z = p^+

    • N = n^0

    • A = Z + N

    • Neutral atom: e^- = p^+ = Z

  • Mass units and constants:

    • 1 ext{ amu} = 1.661 imes 10^{-24} ext{ g}

    • m_e = 9.10939 imes 10^{-28} ext{ g}, ag{electron mass}

    • m_p = 1.67262 imes 10^{-24} ext{ g}, ag{proton mass}

    • m_n = 1.67493 imes 10^{-24} ext{ g}. ag{neutron mass}

  • Isotopes and atomic weights:

    • Atomic weight (element) = ext{Atomic weight} = igl( ext{abundance}1 imes ext{mass}1 igr) + igl( ext{abundance}2 imes ext{mass}2 igr) +
      obreak \dots

  • Isotope mass example:

    • migl(^{35} ext{Cl}igr) ext{ approx } 35 imes 1.661 imes 10^{-24} ext{ g} = 5.813 imes 10^{-23} ext{ g}.

  • Uranium enrichment:

    • Natural uranium composition:
      ext{U-238} \n- Abundance ext{(approx)}: 99.2704 ext{ %}, ext{U-235} ext{ ~0.7204%}, ext{U-234} ext{ ~0.0054%}.

    • Enrichment levels: ext{Low-enriched}
      ightarrow ext{3–4% U-235}, ext{ Highly enriched}
      ightarrow ext{~90% U-235}.

  • Ionic and covalent compounds:

    • Empirical vs molecular formulas concept:
      ext{Empirical formula}: ext{simplest whole-number ratio}
      ext{Molecular formula}: ext{actual number of atoms in molecule}

  • Acid naming rules (binary and oxyacids) and example conversions, (e.g., HCl → hydrochloric acid; H2SO4 → sulfuric acid).

  • Common polyatomic ions (selected):

    • ext{NO}3^- , ext{SO}4^{2-}, ext{CO}3^{2-}, ext{PO}4^{3-}, ext{OH}^- , ext{NH}4^+ , ext{ClO}3^- , ext{ClO}4^- , ext{MnO}4^- , ext{C}2 ext{H}3 ext{O}_2^-, etc.

  • Isotope problem-solving results:

    • Chlorine isotope data (35Cl and 37Cl) can be used to compute the element’s atomic weight by weighting masses by abundances.

    • Boron example yields the abundance of 11B: approximately 81.1 ext{ % (≈80.1% in the material)}.

Quick Connections and Real-World Relevance

  • Classification of matter underpins how chemists separate, purify, and analyze substances in labs and industrial processes (e.g., distillation and deionization).

  • Periodic table organization reflects recurring chemical properties; essential for predicting reactivity, bonding, and compound formation.

  • The distinction between ionic and covalent bonding dictates physical properties (melting/boiling points, conductivity, solubility) and informs material design (ionic salts vs covalent polymers).

  • Isotopes and atomic weights are crucial in fields from forensic science (isotope tracing) to nuclear energy (enrichment) and environmental science (isotope ratios for tracing origins).

  • Acid-base nomenclature and polyatomic ions form the backbone of aqueous chemistry and biochemistry, including buffer systems and metabolic processes.

  • Organic chemistry basics (alkanes, alkenes, alkynes, aromatics, polymers) explain the vast majority of materials, fuels, plastics, and biomolecules encountered daily.

Linkages to Foundational Principles and Ethics

  • Foundational principles: conservation of mass, charge balance, and the periodic law (periodic repetition of properties with increasing atomic number).

  • Ethical/Practical implications: understanding uranium enrichment has direct relevance to nuclear proliferation and safety; handling strong oxidizers (e.g., concentrated chlorine-containing compounds) requires safety and environmental considerations; management of explosive materials (e.g., ammonium nitrate) demands regulatory oversight and safety protocols.

Quick Reference Tables (condensed)

  • Common ions: see Ionic Compounds section above for representative cations and anions; charges are essential for balancing formulas.

  • Seven diatomic elements: H2, N2, O2, F2, Cl2, Br2, I2.

  • Key formulas to memorize conceptually:

    • ext{A} = ext{p}^+ + ext{n}^0

    • ext{Atomic weight} = ext{weighted average of isotopes}

    • 1 ext{ amu} = 1.661 imes 10^{-24} ext{ g}

  • The gas in the bubbles during water boiling is water vapor, i.e., ext{H}_2 ext{O (g)}$$.

// End of notes (coverage matches the provided transcript content across Chapters 1 and 2).