Chapter 1 Notes: Atoms

1.1 A Particulate View of the World

  • Matter is composed of particles such as neutrons, protons, and electrons that make up elemental atoms and molecules.
  • The way these particles come together dictates the physical properties of matter.
  • Matter is defined as anything that has mass and occupies space (i.e., has volume).
  • Chemistry is the discipline that seeks to understand matter and its properties.

1.2 Elements, Molecules, and Mixtures: The Types of Matter

  • Atoms: basic submicroscopic particles that constitute the fundamental building blocks of ordinary matter.
  • Molecules: substances formed when two or more atoms bond in specific geometric arrangements.
  • Atoms and molecules determine how matter behaves.

1.2 Classifying Matter: A Particulate View

  • Matter can be classified by:
    • its state (physical form): solid, liquid, or gas, based on observed properties.
    • its composition or the types of particles.

1. Classifying Matter by State (Solid, Liquid, Gas)

  • Solid Matter
    • Atoms/molecules pack closely in fixed locations.
    • They vibrate but do not move past one another.
    • Fixed volume and rigid shape.
    • Examples: ice, aluminum, diamond.
  • Liquid Matter
    • Atoms/molecules pack about as closely as in a solid, but can move relative to each other.
    • Fixed volume but not a fixed shape; conforms to container shape and flows.
    • Examples: water, alcohol, gasoline (room temperature).
  • Gaseous Matter
    • Atoms/molecules have a lot of space between them and move freely.
    • Highly compressible.

2. Classification of Matter by Components

  • Matter can be classified as:
    • pure substance vs mixture.
    • If a pure substance, one type of particle.
    • If a mixture, two or more components in variable proportions.

Pure Substances vs Mixtures

  • Pure Substance
    • Invariant composition; made of only one component.
  • Mixture
    • Composition can vary from sample to sample; made of two or more components.

Classification of Pure Substances

  • Pure substances split into two types:
    1) Element: cannot be chemically broken down into simpler substances.
    2) Compound: composed of two or more elements in fixed definite proportions.
  • Most elements are chemically reactive and form compounds (e.g., water, sugar).

Classification of Mixtures

  • Heterogeneous mixture: composition varies by region (not uniform). Examples include wet sand.
  • Homogeneous mixture: appears one substance; uniform composition; atoms or molecules mix uniformly.

1.4 Early Ideas about the Building Blocks of Matter

  • Leucippus and his student Democritus proposed matter is composed of small, indestructible particles.
  • Plato and Aristotle did not embrace atomic ideas; believed matter had no smallest parts and proposed fire, air, earth, and water in varying proportions.
  • John Dalton offered convincing evidence supporting early atomic ideas. Dalton’s atomic theory of matter includes key postulates:
    • Each element is composed of tiny, indestructible particles called atoms.
    • All atoms of a given element have the same mass and other properties that distinguish them from atoms of other elements.
    • Atoms combine in simple, whole-number ratios to form compounds.
    • Atoms cannot change into atoms of another element in a chemical reaction; reactions involve re-binding of atoms.

1.5 Modern Atomic Theory and the Laws that Led to It

  • Dalton’s atomic theory explained the following laws:
    1. Each element is composed of tiny, indestructible particles called atoms.
    2. All atoms of a given element have the same mass and other properties that distinguish them from atoms of other elements.
    3. Atoms combine in simple, whole-number ratios to form compounds.
    • In a chemical reaction, atoms cannot be created or destroyed; they are rearranged.
  • Modern Atomic Theory and Its Laws:
    • Law of conservation of mass
    • Law of definite proportions (constant composition)
    • Law of multiple proportions

The Law of Conservation of Mass

  • In a chemical reaction, matter is neither created nor destroyed.
  • When a reaction occurs, the total mass of substances involved does not change.
  • This is consistent with the idea that matter is composed of small, indestructible particles.

The Law of Definite Proportions (Constant Composition)

  • All samples of a given compound have the same proportions of constituent elements.
  • Example: Decomposition of 18.0 g of water (H$2$O) yields 16.0 g O$2$ and 2.0 g H$_2$; O:H mass ratio = 8:1.

The Law of Multiple Proportions

  • When two elements (A and B) form two different compounds, the masses of B that combine with 1 g of A are in small whole-number ratios.
  • If A combines with 1, 2, 3, … atoms of B, possible formulas include AB$1$, AB$2$, AB$_3$, etc.

1.6 The Discovery of the Electron

  • J. J. Thomson’s cathode ray experiments:
    • Cathode rays traveled from the negatively charged electrode (cathode) to the positively charged electrode (anode).
    • The particles in the cathode ray:
    • travel in straight lines
    • carry a negative electrical charge
  • Thomson measured the charge-to-mass ratio (e/m) of the cathode ray particles: rac{e}{m} = -1.76 \times 10^{8} \ \text{C/g}.

1.7 The Structure of the Atom

  • The Early Models:
    • Thomson’s Plum-Pudding Model: electrons as small negative particles embedded in a positively charged sphere.
    • Rutherford’s Gold Foil Experiment: positively charged particles directed at a thin gold foil; most pass through, some deflect, a few bounce back.
    • Conclusion: Matter contains dense regions (nucleus) and large empty space.
  • Building on Rutherford: The Nuclear Atom Model
    • Most of the atom’s mass and all of its positive charge are in the nucleus.
    • Most of the atom’s volume is empty space where negatively charged electrons reside.
    • The number of electrons outside the nucleus equals the number of protons inside the nucleus; the atom is electrically neutral.

1.8 Subatomic Particles: Protons, Neutrons, Electrons

  • The three fundamental subatomic particles:
    • Protons (p+)
    • Neutrons (n)
    • Electrons (e−)
  • Masses (approximate):
    • Proton: m_p = 1.67262 \times 10^{-27} \ \text{kg}
    • Neutron: m_n = 1.67493 \times 10^{-27} \ \text{kg}
    • Electron: m_e = 9.1 \times 10^{-31} \ \text{kg}
  • Charges:
    • Proton: +e
    • Electron: −e
    • Neutron: 0
  • Protons and electrons have equal magnitude of charge with opposite signs; neutrons have no charge.

1.8 Elements: Defined by Their Numbers of Protons

  • Identity of an atom is defined by the number of protons in its nucleus (the atomic number, Z).
  • The atomic number determines the element.

1.9 Elements & the Periodic Table

  • Elements are arranged by increasing atomic number, Z.
  • Elements in the same column (group) exhibit similar physical and chemical properties.

Isotopes: Representation

  • The sum of protons and neutrons gives the mass number, A = p^+ + n.
  • The atomic number Z = p^+.
  • Isotopes differ in the number of neutrons while having the same number of protons.
  • Isotope notation example: ^A_Z X (where X is the element symbol).

Isotopes: Elements with Varied Number of Neutrons

  • All atoms of a given element have the same number of protons (same Z), but neutron numbers may vary.
  • Example: Neon has 10 protons but can have 10, 11, or 12 neutrons; all three isotopes exist and have slightly different masses.

Isotopes: Varied Number of Neutrons – Natural Abundance

  • In a naturally occurring sample, the relative amounts of different isotopes are approximately constant.
  • These percentages are called the natural abundance of the isotopes.

Ions: Charged Atoms Losing and Gaining Electrons

  • A neutral atom has as many electrons as protons: number of electrons = Z.
  • Atoms can lose or gain electrons to form ions:
    • Cations: positively charged ions (e.g., Na$^{+}$).
    • Anions: negatively charged ions (e.g., F$^{-}$).

Isotopes Practice / Practice Symbols

  • Practice problems involve identifying isotopes, atomic numbers, mass numbers, neutron counts, and electron counts from given symbols.

1.9 Atomic Mass: The Average Mass of an Element’s Atom

  • Atomic mass is sometimes called atomic weight or standard atomic weight.
  • The atomic mass listed with an element symbol in the periodic table represents the weighted average mass of the element’s isotopes based on natural abundances.
  • Formula:
    \text{Atomic mass} = \sum_{i} (\text{fraction of isotope } i) \times (\text{mass of isotope } i)
  • Example: Chlorine
    • Naturally occurring chlorine consists of: 75.77% Cl-35 (mass 34.97 amu) and 24.23% Cl-37 (mass 36.97 amu).
    • Atomic mass ≈ 0.7577 \times 34.97 + 0.2423 \times 36.97 \approx 35.45\,\text{amu}.

1.10 Atoms and The Mole

  • A mole (mol) of anything contains 6.02214 \times 10^{23} pieces. This number is Avogadro’s number, N_A.
  • The value of the mole is defined as the number of atoms in exactly 12 g of carbon-12: 12 g C = 1 mol C atoms = 6.022 \times 10^{23} C atoms.
  • 1 mol of particles = 6.022 \times 10^{23} particles; particles can be atoms, molecules, or ions.
  • Molar mass is the mass of 1 mole of atoms of an element; it is numerically equal to the element’s atomic mass in amu and has units of g/mol.
    • Examples:
    • 26.98\,\text{g Al} = 1\,\text{mol Al} = 6.022\times 10^{23} \text{ atoms Al}
    • 12.01\,\text{g C} = 1\,\text{mol C} = 6.022\times 10^{23} \text{ atoms C}
    • 4.003\,\text{g He} = 1\,\text{mol He} = 6.022\times 10^{23} \text{ atoms He}
  • Why molar mass matters:
    • It acts as a conversion factor between mass (g) and amount (mol).
    • Do not memorize a graph; use dimensional analysis with molar mass as the conversion factor.

Molar Mass Practice

  • What is the molar mass of \text{CaCl}_2?
  • How many moles are in 23.2\,\text{g} of \text{CaCl}_2?
  • How many particles are in 12.2\,\text{g} of \text{CaCl}_2?

LA Practice

  • How many atoms of carbon are in 3\,\text{moles} of \text{Al}2(\text{CO}3)_3?
  • How many atoms of aluminum are in 5.0\,\text{g} of \text{Al}2(\text{CO}3)_3?