Chapter 2 pt.1

Chemical Compounds and Ratios

  • Water: H2OH_2O (two hydrogen atoms and one oxygen atom).
  • Hydrogen Peroxide: H<em>2O</em>2H<em>2O</em>2 (two hydrogen atoms and two oxygen atoms).
  • Copper Chloride Compounds:
    • One type has a 1:1 ratio of chlorine to copper.
    • Another type has a 2:1 ratio of chlorine to copper, demonstrating whole number ratios in chemical formulas.

Electrostatic Charges

  • Two types of charges: positive and negative.
  • Law of Electrostatic Attraction:
    • Like charges repel each other.
    • Unlike charges attract each other.
    • Negative and positive charges attract.
    • Two positive charges repel.
    • Two negative charges repel.

Atomic Components and Properties

  • Components of the atom have charges.
  • Proton:
    • Has a positive charge.
    • Mass of approximately one atomic mass unit (1 u).
  • Neutron:
    • Neutral (uncharged).
    • Mass of approximately one atomic mass unit (1 u).
  • Electron:
    • Has a negative charge.
    • Much smaller mass compared to protons and neutrons.

Cathode Ray Experiment

  • High voltage applied to a cathode and anode.
  • Cathode ray produced.
  • Using magnets and charged plates, the cathode rays (later identified as electrons) were observed to be deflected.
  • Negatively charged particles are repelled by negative fields and attracted to positive fields.

Oil Drop Experiment (Millikan)

  • Fine mist of oil droplets sprayed.
  • X-rays used to produce charges on the oil droplets.
  • By adjusting the charge, droplets could be suspended.
  • Observations allowed for the determination of the charge and mass of the electron.
  • The charge on the droplets was always a multiple of 1.6×10191.6 \times 10^{-19} coulombs.

Gold Foil Experiment (Rutherford)

  • Alpha particles (positively charged) were directed at a thin gold foil.
  • Observations:
    • Most particles passed straight through.
    • Some particles were slightly deflected.
    • A very small number of particles were significantly deflected or bounced back.
  • Conclusions:
    • Atoms are mostly empty space.
    • The nucleus is very small and dense, containing most of the atom's mass and positive charge.
    • The diameter of a nucleus is about 101510^{-15} meters, while the atom's diameter is about 101010^{-10} meters.
    • The nucleus is about 100,000 times smaller than the atom.

Analogies for Atomic Structure

  • Soccer Stadium Analogy: If a soccer stadium represents an atom, a proton is like a tennis ball in the center, and an electron is like the head of a pin.
  • Basketball Analogy: Placing a basketball in the middle of a stadium to represent the nucleus and its size relative to the atom.
  • Electrons distributed throughout the empty space of the atom.
  • Alpha particles are much more massive than electrons, so electrons don't significantly affect the path of alpha particles.

Atomic Mass Units (AMU)

  • An atomic mass unit (AMU) is used to measure the mass of atoms.
  • 1 AMU=1.66054×1024 grams1 \text{ AMU} = 1.66054 \times 10^{-24} \text{ grams}
  • AMU has been renamed as the unified atomic mass unit (u).
  • Proton mass: approximately 1.0073 u.
  • Neutron mass: approximately 1 u.

Isotopes, Atomic Numbers, and Mass Numbers

  • All atoms of an element have the same number of protons.
  • The number of protons determines the type of element.
  • In a neutral atom, the number of electrons equals the number of protons.
  • Isotopes: Atoms of the same element with different numbers of neutrons, leading to different masses.

Notation

  • Atomic Number (Z): Number of protons (written as a subscript at the bottom left of the element symbol).
  • Mass Number (A): Total number of protons and neutrons (written as a superscript at the top left of the element symbol).
  • Number of neutrons = Mass Number - Atomic Number (A - Z).

Examples

  • Carbon-12: Carbon with a mass number of 12. Denoted as 612C^{12}_6C. Contains 6 protons and 6 neutrons.
  • Carbon-14: Radioactive isotope used for carbon dating. Contains 6 protons and 8 neutrons.
  • Neptunium-237: Denoted as 93237Np^{237}_{93}Np. Contains 93 protons and 144 neutrons.

Calculating Number of Neutrons

  • To find the number of neutrons, subtract the atomic number (number of protons) from the mass number.

Average Atomic Weight

  • The number at the bottom of an element's symbol on the periodic table is the average atomic weight.
  • It's a weighted average of the masses of all the isotopes of that element.

Stability and Radioactivity

  • Early in the periodic table, the number of neutrons and protons are nearly equal.
  • As you move past calcium (Ca), more neutrons are needed to stabilize the nucleus.
  • Neutrons help counteract the repulsion between protons in the nucleus.
  • Elements with a large number of protons (e.g., Neptunium) tend to be unstable and undergo radioactive decay.
  • Elements past bismuth (Bi) are generally radioactive.

Ions and Charges

  • Charge is indicated as a superscript to the right of the element symbol.

  • The charge represents the difference between the number of protons and electrons.

  • Positive Charge: Indicates more protons than electrons.

  • Negative Charge: Indicates more electrons than protons.

    • Example: Chlorine, ClCl, element 17, usually has a charge of 1-1. Chlorine with one more electron 17 protons and 18 electrons leads to the ion, ClCl^{-}
  • Example: He2+He^{2+} (Helium with 2 protons and no electrons).

  • Example: Mg2+Mg^{2+} (Magnesium with 12 protons and 10 electrons).

Mass Relationships and Atomic Mass

  • Atomic mass is the mass of an atom.
  • Average atomic mass (or atomic weight) is the weighted average of the masses of the isotopes of an element.
  • 1 gram=6.02214×1023 u1 \text{ gram} = 6.02214 \times 10^{23} \text{ u}
  • Avogadro's number of atomic mass units is equal to one gram.

Calculating Average Atomic Mass

  • The average atomic mass is calculated using the masses of the isotopes and their relative abundances.
  • Formula: Average atomic mass = (m<em>i×p</em>i)\sum (m<em>i \times p</em>i), where m<em>im<em>i is the mass of isotope i and p</em>ip</em>i is the fractional abundance of isotope i.

Example Calculation (Carbon)

  • Carbon-12: 98.892% abundance, mass = 12 u (exactly).
  • Carbon-13: 1.108% abundance, mass = 13.00335 u.
  • Average atomic mass of carbon = (0.98892×12)+(0.01108×13.00335)=12.011 u(0.98892 \times 12) + (0.01108 \times 13.00335) = 12.011 \text{ u}

Isotopic Abundances

  • Hydrogen: 99.99% hydrogen-1, 0.01% hydrogen-2 (deuterium).
  • Carbon: Approximately 99% carbon-12, 1% carbon-13.
  • Nitrogen: Over 99% nitrogen-14, with a small amount of nitrogen-15.
  • Oxygen: Predominantly oxygen-16, with smaller amounts of oxygen-17 and oxygen-18.
  • Chlorine: Has two main isotopes, chlorine-35 and chlorine-37; chlorine is mostly chlorine-35.

Sample Problem: Calculating Average Atomic Mass (Copper)

  • Copper-63: 69.17% abundance, mass = 62.9296 u
  • Copper-65: 30.83% abundance, mass = 64.9278 u
  • Average atomic mass of copper = (0.6917×62.9296)+(0.3083×64.9278)=63.5456 u(0.6917 \times 62.9296) + (0.3083 \times 64.9278) = 63.5456 \text{ u}

Hypothetical Example

  • Element Q has three isotopes: Q-40, Q-41, and Q-43.
  • Q-40 has 85% abundance.
  • Atomic weight is 40.26.

Additional Points

  • The atomic number is the number of protons in the nucleus.
  • The one is atomic mass.
  • Stannous fluoride (SnF2SnF_2) is used in toothpaste to protect teeth.