Separation of Matter
Compounds: separate into elements via chemical changes.
Mixtures: separate by physical changes.
Conservation
Mass and energy conserved in both chemical and physical changes.
Volume Measurement
Read liquid volume between graduated markings.
Always read one decimal place beyond calibration.
Measurement Devices Precision
Ranked from least to most precise:
Beaker < Graduated Cylinder < Volumetric Flasks < Burette
Volumetric flasks measure one specific volume.
Burette reads top to bottom.
Percent Error Formula
ext{Percent Error} = rac{| ext{experimental} - ext{theoretical}|}{ ext{theoretical}}
Empirical Formula Procedure
Rhyme: % to mass, mass to mole, divide by small, times until whole (simplest ratio).
Molecular Formula
A whole number multiple of the empirical formula.
Bond Types
Ionic Bonds: Formed when a metal transfers electrons to a nonmetal; opposite charges attract.
Covalent Bonds: Formed by sharing electrons between nonmetals.
Polarity: Increased electronegativity difference increases bond polarity.
Key Facts
Density: ext{Density} = rac{ ext{mass}}{ ext{volume}}
Elements in the same group share similar properties (Periodic Law).
Metals left of zig-zag line, nonmetals right.
Ionization Energy
Higher energy level = lower ionization energy; easier to remove.
Across a period: increased Zeff = smaller radius = higher ionization energy.
PES Graphs
Height of peaks indicates number of electrons; larger binding energy means electrons are closer to nucleus.
Electron Configuration for Cations
Remove valence electrons first; cations are smaller than their atoms, anions are larger due to increased electron-electron repulsions.
Isotopes
Same number of protons, different number of neutrons.
Mass Spectroscopy
Measures atomic masses of isotopes.
Carbon Bonds
Carbon forms a total of 4 bonds.
Bond Angles
4 domains: 109.5°; 3 domains: 120°; 2 domains: 180°.
Hybrid Orbitals
4 domains: sp³; 3 domains: sp²; 2 domains: sp.
Polarity of Molecules
Asymmetrical = polar; symmetrical = nonpolar.
Types of Bonds
Single bond: sigma; double bond: sigma + pi; triple bond: sigma + 2 pi.
Lattice Energy
Energy needed to break ionic bonds; increases with charge and decreases with larger ionic radii.
Intermolecular Forces (IMFs)
Weakest to strongest: London Dispersion < Dipole-Dipole < Hydrogen Bonding < Ion-Dipole.
Polarizability
Larger molecules = stronger London Dispersion forces.
Vapor Pressure and Volatility
Increase in IMFs decreases vapor pressure and volatility.
Conductivity
Molecular solids: low melting/boiling points, non-conductive.
Ionic solids: high melting/boiling points; non-conductive as solids, conductive in liquid/aqueous states.
Covalent network solids (SiO₂, diamonds) have very high melting/boiling points.
Metallic Bonds
Always conductive; hardness varies.
Gas Properties
Homogeneous mixtures due to constant random motion.
Compressible due to large particle spacing.
Gas Pressure
Caused by collisions with container walls; more collisions = higher pressure.
Gas Laws
PV = nRT (P = pressure, V = volume, n = moles, R = gas constant; T = temperature in Kelvin).
Doubling volume halves pressure.
Temperature and volume are directly related.
Molar Mass
ext{Molar Mass} = rac{dRT}{P} (d = density in g/L).
Kinetic Energy
ext{Temperature} = ext{Average Kinetic Energy}.
Collecting Gas by Water Displacement
P{total} = P{dry ext{ }gas} + P_{water ext{ }vapor}.
Ideal vs. Real Gases
Real gases deviate from ideal behavior under high pressure or low temperature.
Gas Properties
Homogeneous mixtures due to constant random motion.
Compressible due to large particle spacing.
Gas Pressure
Caused by collisions with container walls; more collisions = higher pressure.
Gas Laws
PV = nRT (P = pressure, V = volume, n = moles, R = gas constant; T = temperature in Kelvin).
Doubling volume halves pressure.
Temperature and volume are directly related.
Molar Mass
ext{Molar Mass} = rac{dRT}{P} (d = density in g/L).
Kinetic Energy
ext{Temperature} = ext{Average Kinetic Energy}.
Collecting Gas by Water Displacement
P{total} = P{dry ext{ }gas} + P_{water ext{ }vapor}.
Ideal vs. Real Gases
Real gases deviate from ideal behavior under high pressure or low temperature.
Unit 4 - Thermodynamics and Thermochemistry
Laws of Thermodynamics
Energy cannot be created or destroyed, only transformed.
In a closed system, total entropy tends to increase.
Enthalpy (H)
Change in enthalpy: \Delta H = H{products} - H{reactants}.
Exothermic reactions: \Delta H < 0 (releases heat).
Endothermic reactions: \Delta H > 0 (absorbs heat).
Calorimetry
Measures heat transfer in chemical reactions.
q = mC\Delta T (where m = mass, C = specific heat, \Delta T = change in temperature).
Unit 5 - Kinetics and Chemical Equilibrium
Reaction Rates
Factors affecting reaction rates: concentration, temperature, surface area, catalyst presence.
Rate Laws
Generally in the form of: rate = k[A]^m[B]^n (where k = rate constant, A & B are reactants, m & n are reaction orders).
Equilibrium
At equilibrium, rates of forward and reverse reactions are equal; concentrations remain constant.
Equilibrium constant expression: K = \frac{[products]}{[reactants]} (for a-b reactions, aA + bB \rightleftharpoons cC + dD).
Le Chatelier's Principle: if a system at equilibrium experiences a change in concentration, temperature, or pressure, the equilibrium shifts to counteract that change.
Unit 6 - Acids, Bases, and pH
Acid-Base Definitions
Arrhenius: Acids produce H+; bases produce OH-.
Bronsted-Lowry: Acids donate protons; bases accept protons.
pH Scale
pH = -log[H+]; scale ranges from 0 (acidic) to 14 (basic).
Neutralization Reactions
Acid + base = salt + water; typically exothermic.
Indicators
Substances that change color based on pH, such as litmus or phenolphthalein.
Buffer Solutions
Solutions that resist changes in pH upon the addition of acids or bases; often contain a weak acid and its conjugate base.