AP Chemistry Review Oxidation-Reduction • Oxidation means an increase in oxidation state - lose electrons. • Reduction means a decrease in oxidation state - gain electrons. • The substance that is oxidized is called the reducing agent. • The substance that is reduced is called the oxidizing agent. Half-Reactions • All redox reactions can be thought of as happening in two halves. • One produces electrons Oxidation half. • The other requires electrons Reduction half. • Write the half reactions for the following. • Na + Cl2 Na+ + Cl• SO32- + H+ + MnO4- SO42- + H2O + Mn+2 Balancing Redox Equations • In aqueous solutions the key is the number of electrons produced must be the same as those required. • For reactions in acidic solution an 8 step procedure. Write separate half reactions For each half reaction balance all reactants except H and O Balance O using H2O Acidic Solution Balance H using H+ Balance charge using e Multiply equations to make electrons equal Add equations and cancel identical species Check that charges and elements are balanced. Practice • The following reactions occur in aqueous solution. Balance them • MnO4 + Fe+2 Mn+2 + Fe+3 • Cu + NO3- Cu+2 + NO(g) • Pb + PbO2 + SO4-2 PbSO4 • Mn+2 + NaBiO3 Bi+3 + MnO4- Basic Solution • Do everything you would with acid, but add one more step. • Add enough OH- to both sides to neutralize the H+ • Makes water 2• CrI3 + Cl2 CrO4 + IO4 + Cl • Fe(OH) + H O Fe(OH) 2 2 2 • Cr(OH)3 + OCl- + OH- CrO42- + Cl- + H2O Thermochemistry ENERGY AND WORK (see definition of energy) E = q(heat) + w(work) Signs of q: +q if heat absorbed –q if heat released w = -PV NOTE: Energy is a state function. (Work and heat are not.) Signs of w (commonly related to work done by or to gases) + w if work done on the system (i.e., compression) -w if work done by the system (i.e., expansion) When related to gases, work is a function of pressure (pressure is force per unit of area) and volume Exercise 1 Internal Energy Calculate ∆E for a system undergoing an endothermic process in which 15.6 kJ of heat flows and where 1.4 kJ of work is done on the system. ∆E = 17.0 kJ ENTHALPY Measure only the change in enthalpy, H (the difference between the potential energies of the products and the reactants) H is a state function H = q at constant pressure (i.e. atmospheric pressure) (true most of the time for us and a very handy fact!) Enthalpy can be calculated from several sources including: Stoichiometry Calorimetry From tables of standard values Hess’s Law Bond energies Calorimetry The process of measuring heat based on observing the temperature change when a body absorbs or discharges energy as heat. After all data is collected (mass or volume; initial and final temperatures) we can use the specific heat formula to find the energy released or absorbed. We refer to this process as constant pressure calorimetry. ** q = H @ these conditions.** Specific heat capacity (Cp) Same as specific heat but specific to 1 gram of substance Energy (q) Released or gained -- q = mCpT q = quantity of heat ( Joules or calories) m = mass in grams ΔT = Tf - Ti (final – initial) Cp = specific heat capacity ( J/g°C) Sample Problem B: In a coffee cup calorimeter, 100.0 mL of 1.0 M NaOH and 100.0 mL of 1.0 M HCl are mixed. Both solutions were originally at 24.6C. After the reaction, the final temperature is 31.3C. Assuming that all solutions have a density of 1.0 g/cm3 and a specific heat capacity of 4.184 J/gC, calculate the enthalpy change for the neutralization of HCl by NaOH. Assume that no heat is lost to the surroundings or the calorimeter. ∆H = -5.6 kJ/mol Now it is time to consider the forces that condense matter. These can be due to ionic or covalent bonding [intramolecular forces — ionic stronger than covalent] or much weaker attractive forces we call intermolecular forces. These are the forces between (rather than within) molecules. We briefly visited the IMF’s earlier when discussing the nonideal behavior of gases. These forces cause changes of state by causing changes among the molecules, NOT within them. Dipole-Dipole Strongest IMF’s Molecules with dipoles orient themselves so that “+” and “-” ends of the dipole are close together. Hydrogen Bonds bonded H H-“bond” Dipole-dipole attraction in which hydrogen on one molecule is attracted to a highly electronegative atom on an adjacent molecule. (F, O, N) WHY is there such variation among the covalent hydrides of groups IV through VII? Hydrogen bonding, That’s why! One would expect that BP would increase with increasing molecular mass [since the more electrons in a molecule, the more polarizable the cloud {more about that in the next section}, the stronger the IMF’s, the more E needed to overcome these attractions and vaporize]. TWO Reasons 1. The lighter hydrides have the highest En values which leads to especially polar H-X bonds. 2. The small size of each dipole allows for a closer approach of the dipoles, further strengthening the attractions. London Dispersion Forces Weakest IMF’s Relatively weak forces that exist among noble gas atoms and nonpolar molecules. (Ar, C8H18) Caused by instantaneous dipole formation, in which electron distribution becomes asymmetrical. The newly formed dipoles now find each other FAR more attractive than before! a.k.a. Dipole-induced dipole if an ion or polar molecule causes the distortion. OR Induced dipole-induced dipole if a nonpolar moleule sets off the chain reaction of induction like in iodine. The ease with which the electron “cloud” of an atom can be distorted is called polarizability. You’ll want to write about polarizability when EXPLAINING these concepts. PHASE DIAGRAMS Closed Systems Represents phases as a function of temperature and pressure. Critical Temperature: Temperature above which the vapor cannot be liquefied. Critical Pressure: Pressure required to liquefy AT the critical temperature. Critical Point: Critical temperatue and pressure (for water, Tc = 374° C and 218 atm). CHEMICAL KINETICS: THE RATES AND MECHANISMS OF CHEMICAL REACTIONS THE COLLISION THEORY OF REACTION RATES •Particles must collide. •Only two particles may collide at one time. •Proper orientation of colliding molecules so that atoms can come in contact with each other to become products. This new collision product is at the peak of the activation energy hump and is called the activated complex or the transition state. At this point, the activated complex can still either fall to reactants or to products. Initial rxn rate = k[A]m[B]n[C]p k = rate constant [A] = concentration of reactant A [B] = concentration of reactant B [C] = concentration of the catalyst— won’t see this too often in AP m = order of reaction for reactant A n = order of reaction for reactant B p = order of reaction for the catalyst C Adding the orders of each reactant gives the overall order of the reaction. Experiment Number Initial Rate mol/(Lhr) Initial concentration [A]o Initial concentration [B]o 1 0.50 x 10-2 0.50 0.20 2 0.50 x 10-2 0.75 0.20 3 0.50 x 10-2 1.00 0.20 4 1.00 x 10-2 0.50 0.40 5 1.50 x 10-2 0.50 0.60 The table below gives the results of four experiments. Using these data, determine the orders for all three reactants, the overall reaction order, and the value of the rate constant. What is the value of k? What are the units of k? Experiment Initial [BrO3-] Initial [Br –] Initial [H+] 1 2 3 4 0.10 0.20 0.20 0.10 0.10 0.10 0.20 0.10 0.10 0.10 0.10 0.20 Measured initial rate (mol/Ls) 8.0 x 10-4 1.6 x 10-3 3.2 x 10-3 3.2 x 10-3 12.3 DETERMINING THE FORM OF THE RATE LAW --experimental convenience Note the shape of this curve! It will save you time in the future! A SUMMARY ELEMENTARY STEP MOLECULARITY RATE EXPRESSION A products unimolecular rate = k[A] A + B products bimolecular rate = k[A][B] A + A products bimolecular rate = k[A]2 2 A + B products* termolecular* 2 rate = k[A] [B] • the slowest step is the rate determining step • reaction intermediate-produced in one step but consumed in another. • catalyst--goes in, comes out unharmed and DOES NOT show up in the final rxn. Buffers Determine the [H3O+] and [C2H3O2-] in a solution that is 0.100 M in both acetic acid and hydrochloric acid. Exercise 2:The pH of a Buffered Solution A buffered solution contains 0.50M acetic acid (HC2H3O2, Ka = 1.8 X 105) and 0.50 M sodium acetate (NaC2H3O2). Calculate the pH A solution is 0.120 M in acetic acid and 0.0900 M in sodium acetate. Calculate the [H+] at equilibrium. The Ka of acetic acid is 1.8 x 10-5. [H+] = 2.4 x 10-5 Bonding Bonding Organic Chemistry Alkanes Organic Naming Prefixes Alkyl Groups Examples of Isomers The formula C4H10 has two different structures CH3 CH3CH2CH2CH3 Butane CH3CHCH3 2-methylpropane When a CH3 is is used to form a branch, it makes a new isomer of C4H10. Alkenes Alkynes Carbon-carbon __________ bonds Names end in -_________ HCCH ethyne(acetylene) HCC-CH3 propyne