VSEPR (Valence Shell Electron Pair Repulsion) Theory predicts the geometry of molecules based on the repulsion between electron domains around a central atom.
Electron domains include bonding pairs and lone pairs of electrons. Molecular geometry is determined by minimizing these repulsive forces.
The following table summarizes the relationship between the number of atoms touching a central atom, the number of lone pairs, the resulting geometry, and the bond angle:
4 atoms, 0 lone pairs: Tetrahedral, 109.5° (e.g., CH_4)
3 atoms, 1 lone pair: Trigonal Pyramidal, ≈ 109.5° (e.g., NH_3). The lone pair compresses the bond angle slightly.
2 atoms, 2 lone pairs: Bent, ≈ 109.5° (e.g., H_2O). The two lone pairs cause greater compression of the bond angle.
3 atoms, 0 lone pairs: Trigonal Planar, 120° (e.g., BF_3)
2 atoms, 1 lone pair: Bent / Angular, ≈ 120° (e.g., SO_2). The lone pair reduces the bond angle from the ideal 120°.
2 atoms, 0 lone pairs: Linear, 180° (e.g., CO_2)
5 atoms, 0 lone pairs: Trigonal Bipyramidal, 90° & 120° (e.g., PCl_5). Axial and equatorial positions are distinct.
4 atoms, 1 lone pair: See-saw, ≈ 90° & 120° (e.g., SF_4). Lone pair occupies an equatorial position to minimize repulsion.
3 atoms, 2 lone pairs: T-shaped, ≈ 90° (e.g., ClF_3). Lone pairs occupy equatorial positions.
6 atoms, 0 lone pairs: Octahedral, 90° (e.g., SF_6)
5 atoms, 1 lone pair: Square Pyramidal, ≈ 90° (e.g., BrF_5). The lone pair distorts the shape.
4 atoms, 2 lone pairs: Square Planar, 90° (e.g., XeF_4). The two lone pairs are trans to each other.
Hybridization is the concept of mixing atomic orbitals into new hybrid orbitals suitable for the pairing of electrons to form chemical bonds in valence bond theory.
Electron Domains vs. Hybridization:
2 electron domains: sp (e.g., BeCl_2)
3 electron domains: sp2 (e.g., BF_3)
4 electron domains: sp3 (e.g., CH_4)
Hydrogen bonding is a type of intermolecular force that occurs in molecules with O–H, N–H, or F–H bonds.
These bonds are highly polarized, creating a partial positive charge on the hydrogen atom and a partial negative charge on the electronegative atom (O, N, or F).
Hydrogen bonds are relatively strong intermolecular forces and play a crucial role in determining the properties of substances like water.
Microwave radiation causes molecules to rotate. This is the principle behind microwave ovens.
Infrared radiation causes molecules to vibrate. Absorption of infrared radiation leads to increased molecular motion and heat.
Ultraviolet and visible light causes electrons to be promoted to higher energy levels, can ionize atoms, or break covalent bonds. High-energy UV radiation can cause photochemical reactions and damage biological molecules like DNA.
Any ionic compound containing Na^+, K^+, or NH_4^+ ions is soluble in water. These ions generally form soluble salts.
Any ionic compound containing the NO_3^- ion is soluble in water. Nitrates are generally soluble.
Chlorides (Cl^-), bromides (Br^-), and iodides (I^-) are generally soluble, except when combined with Ag^+, Pb^{2+}, and Hg_2^{2+}.
Sulfates (SO_4^{2-}) are generally soluble, except with Sr^{2+}, Ba^{2+}, Pb^{2+}, and Ca^{2+}.
Hydroxides (OH^-) are generally insoluble, except with Group 1 cations, Sr^{2+}, and Ba^{2+}. Ca(OH)_2 is slightly soluble.
Sulfides (S^{2-}), carbonates (CO3^{2-}), phosphates (PO4^{3-}), and chromates (CrO4^{2-}) are generally insoluble, except with Group 1 cations and NH4^+.
Integrated Rate Laws: These laws relate the concentration of reactants to time for different reaction orders.
0 order: [A] vs time is a straight line. The rate is independent of reactant concentration: Rate = k.
1st order: ln[A] vs time is a straight line. The rate is directly proportional to reactant concentration: Rate = k[A].
2nd order: 1/[A] vs time is a straight line. The rate is proportional to the square of reactant concentration: Rate = k[A]^2.
Enthalpy Change: \Delta H = \Sigma H{\text{bonds broken}} – \Sigma H{\text{bonds formed}} (LEFT SIDE – RIGHT SIDE). Breaking bonds requires energy (endothermic, positive H), and forming bonds releases energy (exothermic, negative H).
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Strong acids and strong bases ionize completely in aqueous solution. This means they dissociate fully into ions.
Strong Acids: HCl, HBr, HI, HNO3, H2SO4, and HClO4. Memorizing these is crucial for identifying strong acids.
Strong Bases: Group 1 and 2 hydroxides (e.g., NaOH, KOH, Ca(OH)_2). Note that Group 2 hydroxides are less soluble but still strong bases.
Dilution Equation: M1V1 = M2V2. This equation is used to calculate the concentration or volume needed when diluting a solution.
Titration Equation: MAVA = MBVB. This equation applies to titrations where the stoichiometry between the acid and base is 1:1.
Titration Curves: At the half-equivalence point for a titration, the pH = pKa of a weak acid. This is useful for determining the pKa experimentally.
\Delta H < 0: Exothermic process. Heat is released to the surroundings.
\Delta H > 0: Endothermic process. Heat is absorbed from the surroundings.
\Delta G < 0: Thermodynamically-favored process (spontaneous). The reaction will proceed without external input of energy.
\Delta G > 0: Non thermodynamically-favored process (non-spontaneous). The reaction requires an external input of energy to proceed.
\Delta H: Negative, \Delta S: Positive => Thermodynamically Favored at All temperatures
\Delta H: Positive, \Delta S: Negative => Never Thermodynamically Favored
\Delta H: Positive, \Delta S: Positive => Thermodynamically Favored at Higher temperatures. At high temperatures, the T\Delta S term dominates.
\Delta H: Negative, \Delta S: Negative => Thermodynamically Favored at Lower temperatures. At low temperatures, the \Delta H term dominates.
Galvanic cells (also known as voltaic cells) are electrochemical cells that generate electricity through spontaneous redox reactions.
RED CAT and AN OX: Reduction at the cathode, oxidation at the anode
OIL RIG: Oxidation is losing, reduction is gaining electrons
The CAT gets FAT: Metallic cathodes increase in mass as metal ions are reduced and deposited onto the cathode.
A/C: Electrons move through