1 SEMESTER 1 FINAL EXAM REVIEW Unit I – Chemical Foundations I. Good things to know: chemistry scientific method: hypothesis, data, theory, variables matter substances: elements, compounds; mixtures: homogeneous, heterogeneous graphing: x-axis, independent variable; y-axis, dependent variable graphing: directly proportional, inversely proportional commonly used lab equipment and how to use properly lab safety, hazard symbols significant figures their importance in measurement scientific notation: base, power where are the sig figs? accuracy vs. precision SI system: what are the base units? what units are appropriate in what situations? density; intensive properties II. Problems a, d, e, h 1) Which of the following would be considered proper laboratory procedure? a. determining the odor of a substance by gently wafting the vapors if you know the substance is not harmful b. weighing a crucible while it is still hot c. measuring a liquid in a graduated cylinder by taking a reading from the top of the liquid d. rinsing a pipet with the test solution before performing a titration e. using a pipet bulb to draw liquid into a pipet f. pulling your goggles up briefly to rub your eyes g. measuring the volume of a liquid in a beaker h. diluting sulfuric acid by measuring out the desired amount of water, and then slowly pouring the concentrated acid to the water 2). How many sig figs in the following numbers? 1 3) a) 0.003 3 2 b) 10.0 c) 550 5.1348 10 30 1.231x10 60 6.012 10 34 6.938 10 3 5) 687 mg = ? kg 687mg 5 d) 310.01 4) 13,4300.0235 0.00109 40.017240.01 6) 80.10 km = ? um 1kg 109 um 8.010 x1010 um 6.87 x10 4 kg 80.10km 6 1km 10 mg 7) 4.01 x 105 J = ? kJ 4.01x105 J 1kJ 401kJ 103 J 8) You are in Paris and want to buy some peaches for lunch. The sign on the fruit stand says that peaches cost 4.00 euros per kilogram. Assuming that there are 1.14 euros to the dollar, calculate the cost of a pound of peaches in dollars. 1lb 1kg 4 $1 $1.59 2.2046lb 1kg 1.14 9) If the speed of light is approximately 3.00x 10 8 m/s, what is the approximate speed in miles/hr? 3.00 x108 m 1km 0.6214mi 3600s 3 6.71x108 mph s 10 m 1km 1hr SEMESTER 1 FINAL EXAM REVIEW 2 10) If you have a graduated cylinder which initially contains 15.7 mL of water, and when a 65.64 g object is placed inside, shows a new volume of 22.6 mL, what is the object’s density? Vobject 22.6mL 15.7mL 6.9mL D m 65.64 g 9.5 g mL V 6.9mL 11) The approximate mass of the earth is 5.94 x 10 21 metric tons. If the circumference of the Earth at the equator is approximately 25,000 miles, what is the approximate density of the earth in g/mL ? Vsphere = 4/3 πr3 C = 2πr 1 metric ton = 1000 kg 1000kg 103 g 5.94 x10 mtons 5.94 x10 27 g 1mton 1kg 21 25,000mi 1km 105 cm 3979mi 6.4 x108 cm 2 0.6214mi 1km 3 8 3 27 3 V 4 3 r 4 3 (6.4 x10 cm) 1.1x10 cm C 25,000mi 2r r D m 5.94 x10 27 g 5.4 g cm3 V 1.1x10 27 cm3 Unit II – Atomic Theory & The Periodic Table 1. Explain the Photoelectric effect as it pertains to quantam theory: Why is it that purple light will expel electrons from a piece of metal, but red light will not? Why is it that as the intensity of the light increases, the expelled electrons do not become more energetic, there are simply more of them expelled? According to the equation E = hv, violet light has greater energy than red light, therefore the violet photons have sufficient energy to expel the electrons from the metal, whereas the red ones do not. More intense light is emitting more photons per second, so more electrons per second are expelled, but they do not contain any more energy. 2. Briefly describe the concept of DeBroglie’s Equation. How does the wavelength vary with mass? Generally, the mass is the most important term in the equation, as the mass increases, the measurable wavelength of the object decreases (they are inversely proportional). Another way to see it is that more massive objects have less measurable wavelengths (they are more “matter-like”), whereas less massive objects have more measurable wavelengths (they are more “energy-like”). 3. Briefly describe Bohr’s Atomic Theory for the hydrogen atom. What phenomenon gave rise to his theory? How do the colors of the bright-line spectra for hydrogen relate to the Energy levels in a hydrogen atom? Bohr saw the electrons in an atom occurring in specifically defined energy levels, as defined by Planck’s Quantum Theory. As an electron passes from a more excited state (higher energy level) to a ground state, it releases a photon of light. The energy of that photon corresponds to a certain wavelength of light, which has a certain characteristic color. 4. Explain why adding an electron to a fluorine atom is an exothermic process. Fluorine has seven valence electrons. Adding one more electron will give it a complete valence shell(stable octet) which is a very favorable arrangement (lower in Energy). When one more electron is added, the atom will give off energy. 5. Explain why adding an electron to a neon atom is an endothermic process. Neon has eight valence electrons which is a very favorable arrangement. Although it is possible to add another electron, because the electron would need to be placed in the next higher energy level, an input of energy would be required. 3 SEMESTER 1 FINAL EXAM REVIEW 6. Explain the trend in atomic radius from Li to Na to K. As you go Li Na K, the atomic radius increases. As you go down a column on the table, there are more energy levels containing electrons which are a greater distance from the nucleus, therefore increasing the effective size of the atom. 7. Explain the trend in atomic radius from Na to Mg to Al. As you go Na Mg Al, the atomic radius decreases. As you travel across a row on the table, more protons are gained by the atom without any additional electron shielding. As a result, there is a greater effective nuclear charge, therefore a greater force of attraction between the nucleus and the valence electrons, therefore the valence shell is drawn in closer. 8. Explain the trend in first ionization energy from Na to Mg to Al. As you go Na Mg Al, the 1st ionization energy increases. As you travel across a row on the table, more protons are gained by the atom without any additional electron shielding. As a result, there is a greater effective nuclear charge, therefore a greater force of attraction between the nucleus and the valence electrons, therefore it requires more energy to remove the first valence electron. 9. Explain why the 2nd ionization energy for sodium is so much greater than that for magnesium. Once the first valence electron is removed, a sodium ion now has a stable octet, therefore making it very unfavorable to remove a second electron. Magnesium has two valence electrons, so its first two ionization energies are comparably small. 10. What would the first two quantum numbers be for an electron in a 4f subshell? How many possible quantum number sets are there for a 4f subshell? Give two examples. How many electrons can be held in the entire 4th energy level? * (4,3 * 14 options: (4,3 3,2,1,0,-1,-2,-3, ±½ on each * (4,3,1,-½) (4,3,-2,½) * 32 (2 in 4s, 6 in 4p, 10 in 4d, 14 in 4f) 11. Fill in the table below Element Potassium Magnesium Cadmium Dysprosium Family Name alkalai metals alkaline earth metals transition metals rare earths (lanthanides) # of Valence Electrons Physical State (metal, nonmetal, metalloid) Electron Configuration Paramagnetic or Diamagnetic? 1 metal [Ar] 4s1 paramagnetic 2 metal [Ne] 3s2 diamagnetic XX metal [Kr] 5s24d10 diamagnetic XX metal [Xe]6s24f10 paramagnetic Chlorine halogens 7 nonmetal [Ne]3s23p5 paramagnetic Neon noble gases 8 nonmetal [He] 2s22p6 diamagnetic 4 SEMESTER 1 FINAL EXAM REVIEW a 12. Which of the following could be the quantum numbers for the valence electron in a ground state sodium atom? a. (3,0,0,½) Na is in 3s row b. (3,1,1,½) c. (4,0,0,½) d. (4,1,1,½) e. (4,2,1,½) c 13. Which of the following is an impossible set of quantum numbers? Explain your answer. a. (3,0,0,½) b. (3,1,1,-½) c. (3,1,-2,½) d. (3,2,-1,½) e. (3,2,2,½) absolute value of 3rd # can’t exceed 2nd 14. Which fundamental atomic theory is violated by the following list of quantum numbers representing silicon’s 4 valence electrons? (3,0,0,-½), (3,0,0,-½), (3,1,1,-½), (3,1,1,-½) Pauli Exclusion Principle No 2 electrons may have the same set of quantum numbers 15. Which fundamental atomic theory is violated by the following list of quantum numbers representing silicon’s 4 valence electrons? (3,0,0,-½), (3,0,0,+½), (3,1,-1,-½), (3,1,-1,+½) Hund’s Rule the electrons in the 3p sublevel (3,1), must be evenly distributed with the same spin, so 3rd number must be different, with the same spin (4th) number 16. Which of the following atoms or ions is larger: sulfide a. sulfur or sulfide * when an atom gains electrons its radius increases sodium atoms b. K c. Na or K * K is lower on the column than Na S Na+ d. S or Cl * S is further to the left from Cl Cl-1 e. Na+1 or Mg+2 * Na is further to the left sodium atoms or sodium ions * when an atom loses electrons its radius decreases f. F-1 or Cl-1 * Cl is lower in the column 17. Explain why a fluorine atom gains in size when it accepts an electron to become a fluoride ion. When a fluoride atom gains an electron, the number of protons in the nucleus remains the same, so the effective nuclear charge remains the same, but that charge is distributed over a larger number of electrons, making the attractive force less. As a result, the electrons move further away from the nucleus, making the ion effectively larger. 18. Give the number of protons, neutrons, and electrons in the following: a) 131 54 Xe b) 56 26 Fe 3 c) 127 53 I 1 54 protons 26 protons 53 protons 77 neutrons 30 neutrons 74 neutrons 54 electrons 23 electrons 54 electrons 5 SEMESTER 1 FINAL EXAM REVIEW Unit III – Nomenclature & Equations I. Give the name or formula for the following: H2SO4 Ca(OH)2 XeF6 ammonia (nitrogen trihydride) a. sulfuric acid b. calcium hydroxide c. xenon hexafluoride FeCr2O7 d. iron(II) dichromate k. NH3 nickel(II) sulfide l. NiS ammonium carbonate m. (NH4)2CO3 aluminum chloride n. AlCl3 HCN e. hydrocyanic acid chromium(III) hydroxide o. Cr(OH)3 Rb2O f. rubidium oxide carbon tetrachloride p. CCl4 acetic acid r. HC2H3O2 sodium hydride s. NaH magnesium fluoride t. MgF2 Sn3(PO4)4 CO h. tin(IV) phosphate i. carbon monoxide BaSO4-8H2O j. barium sulfate octohydrate II. Balance the following equations: 1. 1 Ba(OH)2(aq) + 2 AgC2H3O2(aq) 2. 2 KI 3. 3 Zn + 2 Fe(NO3)3 4. 1 C25H52 + 38 O2 5. 3 H3AsO3 + 1 NaBrO3 2 K+ 1 Ba(C2H3O2)2(aq) + 2 AgOH(s) 1 I2 3 Zn(NO3)2 + 2 Fe 25 CO2 + 26 H2O 1 NaBr + 3 H3AsO4 III. Give the net ionic equation for the following precipitation reactions: 1. A solution of silver nitrate is mixed with a solution of sodium chromate. 2 Ag+1 + CrO4-2 Ag2CrO4 2. A solution of lead(II) chloride is mixed with a solution of sodium hydroxide. Pb+2 + 2 OH-1 Pb(OH)2 3. A solution of barium nitrate is mixed with a solution of potassium phosphate. 3 Ba+2 + 2 PO4-3 Ba3(PO4)2 SEMESTER 1 FINAL EXAM REVIEW 6 Unit IV – Stoichiometry I. Good things to know stoichiometry, chemical formula ionic compound formula unit hydrate, anhydrous molecular compound molecule mole, Avagadro’s Number formula mass, molar mass, molecular mass Standard Temperature and Pressure (STP) percent yield limiting reactant, excess reactant Law of Definite Proportions, Law of Multiple Proportions empirical formula, molecular formula mass spectrometer titration, standard solution, unknown solution II. Problems 1) Calculate the number of moles of HF molecules in: a) 0.385 g HF b) 3.02 x 1024 molecules of HF 0.385 g HF 1mol HF 0.0193mol HF 20 g HF 3.02 x10 24 mcs HF c) 50.0 mL of a 0.600M HF solution (0.600M )(0.050 L) 0.0300mol HF n 1mol HF 5.02mol HF 6.02 x10 23 mcs HF d) 1.50L of HF at 0.989 atm of pressure and 23.1oC PV (0.989atm)(1.50 L) 0.0610mol HF RT (0.0821)( 296.25K ) 2) Answer the following questions using the following equation: 4 HF(g) + 1 SiO2(s) 1 SiF4(s) + 2 a) balance the equation H2O(l) b) How many grams of silicon tetrafluoride will you get if you react 5.00g of silicon dioxide with excess HF? 5.00 g SiO 2 1mol SiO 2 1mol SiF4 104 g SiF4 8.65g SiF4 60.1g SiO 2 1mol SiO 2 1mol SiF4 c) How many grams of silicon tetrafluoride will you get if you react 5.00g of silicon dioxide with 5.00g of HF? How many grams of the excess reactant will be left over? 1mol HF 1mol SiF 4 0.0625mol SiF 4 LR 20.0 g HF 1mol HF 1mol SiO 2 1mol SiF 4 5.00 g SiO 2 0.0832mol SiF 4 60.1g SiO 2 1mol SiO 2 5.00 g HF 0.0625mol SiF 4 104 g SiF 4 6.50 g SiF 4 1mol SiF 4 0.0625mol SiF 4 1mol SiO 2 60.1g SiO 2 3.76 g SiO 2 5.00 3.76 1.24 g SiO 2 left 1mol SiF 4 1mol SiO 2 d) If you actually produce 5.92g of silicon tetrafluoride in problem (c), what is the percent yield? 5.92 g x100% 91.1% 6.50 g SEMESTER 1 FINAL EXAM REVIEW 7 3) A sample of 0.6760g of an unknown compound containing barium ions (Ba +2) is dissolved in water and treated with an excess of Na2SO4. If the mass of the barium sulfate precipitate formed is 0.4105g, what is the percent by mass of barium in the original unknown compound? BaSO 4 FM 233.4 % Ba 137 x100% 58.5% 233.4 0.2415 g Ba +2 (0.588)(0.4105 g ) x100% 35.7% 0.6760 g cmpd 4) A hydrocarbon was found to be 20% hydrogen by weight. If one mole of the hydrocarbon has a mass of 30 grams, what is its molecular formula? 1C 6.66 C 12 g C 1 C 30 6.66 CH 3 (FM = 15) 2 C2H6 1H 3H 15 12 g H 20.0 H 1g H 80 g C 5) If you add 20.0 mL of 0.100 M iron(III) nitrate to 20.0 mL of 0.100 sodium hydroxide, how many grams of precipitate will be formed? Write the net ionic equation for the reaction. LR (0.100M )(0.0200 L) 0.00200mol Fe +3 +3 -1 Fe + 3OH Fe(OH) 3 (0.100M )(0.0200 L) 0.00200mol OH-1 0.002mol 0.002mol 1mol Fe(OH) 3 106.8 g Fe(OH) 3 0.00200mol OH-1 0.0712 g Fe(OH) 3 3mol OH-1 1mol Fe(OH) 3 6) If it requires 25.0 L of a 0.500M KI solution to precipitate all of the lead(II) ions out of a 100.0 mL sample, what is the concentration of the lead ions? Pb +2 + 2 I - PbI 2 (0.500M )( 25 x10 6 L) 1.25 x10 5 I - 1 Pb + 2 6.25x10 -6 Pb + 2 0.100 L 6.25 x10 5 M 2I 7) What is the concentration of an unknown H2SO4 solution if it requires 156.3 mL of 1.50M NaOH standard to titrate a 100.0 mL sample of the unknown? (1.50M )(0.1563L) 0.23445 OH- 1 H + 1 H 2SO 4 0.117H 2SO 4 0.100 L 1.17 M 1 OH2 H+ 8) In your lab, you titrated hydrogen peroxide with potassium permanganate: 6 H+1 + 2 MnO4-1 + 5 H2O2 5 O2 + 2 Mn+2 + 8 H2O If 36.44 mL of a 0.01652 M KMnO4 solution is required to completely oxidize 25.00 mL of a H2O2 solution, calculate the molarity of the peroxide solution. (0.01652M )(0.03644L) 6.02 x104 MnO 4 - 5 H 2O2 0.00150H 2O2 0.02500L 0.0602M 2 MnO 4 8 SEMESTER 1 FINAL EXAM REVIEW Unit V – Bonding I. Good things to know ionic bonding Coulomb’s Law covalent bonds lone pair, shared pair stable octet polar vs. nonpolar, dipole moment sigma bond, pi bond formal charge, bond length resonance hybrid orbitals, VSEPR model organic chemistry 4 allotropes of carbon saturated and unsaturated hydrocarbons functional groups – hydroxyl, ethers, aldehydes, ketones, organic acids, esters, amines isomers, polymers aromatic compounds II. Problems 1) Which of the following ionic compounds would you expect to have the higher melting point? Explain. NaCl vs. KBr a. NaCl. The ionic radius is smaller, therefore, according to Coulomb’s Law, the ions will exhibit a greater attractive force for each other. 2) Put the following molecules in increasing order of their C – O bond length. Explain. CH3OH CO3-2 CO2 shortest longest: CO2, CO3-2, CH3OH. In CO2, both C – O bonds are double bonds, which are shorter than single bonds. In CO3-2, the resonance structure causes all three C – O bonds to posess a bond order of 1 1/3, which will be longer than double bonds, and shorter than single bonds. In CH3OH, the C – O bond is a single bond, which is the longest of the C – O bonds. 3) For each of the following, give the Lewis Structure, type of hybrid orbitals used by the molecule, shape, polarity, bond angle, and number of sigma and pi bonds: a. PCl3 c. NO3-1 b. CO2 O Cl P N O Cl O C Cl sp3, trigonal pyramid, P, 109.5o, 3σ d. BrF5 O O sp, linear, NP, 180o, 2σ, 2π sp2, trigonal planar, P, 120o, 3σ, 1π e. PF5 F F F F F F Br F 3 2 P F F F o sp d , square pyramid, P, 90 , 5σ 3 sp d, trigonal bipyramid, NP, 90o/120o, 5σ 9 SEMESTER 1 FINAL EXAM REVIEW 4) Without using the table of bond energies, which of the following molecules would you expect to require the most energy to break its C – C bonds? Explain your answer. C2H6 C2H4 C2H2 C2H2. This molecule has a triple C-C bond which will be much stronger than the double bond in C2H4 and the single bond in C2H6. Multiple bonds are always stronger than single bonds, therefore they require more energy to break. 5) Give the IUPAC name for the following: CH3 CH3 2,4-dimethyl pentane CH3 CH2 CH CH CH3 a. Br CH3 3-bromo hexane b. CH2 CH CH2 CH2 CH3 NH2 1-amino, 3,5-dibromobenzene c. Br Br Unit VI – Phases & Gas Laws I. Good Stuff to Know definitions of solid, liquid, gas, fluid, condensed state Pressure - relationship between force and area barometer - atmospheric pressure, air pressure, barometric pressure standard temperature and pressure (STP): 1 atm = 76θ Torr = 76θ mmHg = 101.3 kPa and 273K manometer vaporization – boiling (how does it relate to vapor pressure?), evaporation amorphous solid- example crystal lattice – crystals density of solids, liquids, gases - water (most dense at 4oC) intermolecular forces: dipole-dipole interactions, London Dispersion Forces, hydrogen bonding, ionic crystals, network solid. metallic crystals Phase Diagrams – melting, freezing, boiling, condensation, sublimation, deposition Phase Diagrams - triple point, critical temperature, unique properties of water substances that exist as gases Avogadro’s Law Kinetic Theory use it to explain Boyle’s Law, Charles’ Law, Avogadro’s Law, Dalton’s Law, compressibility of gases root-mean-square speed, mean free path diffusion vs. effusion deviations from ideal behavior, vanderWaal’s equation 10 SEMESTER 1 FINAL EXAM REVIEW II. Multiple Choice For questions 1-4, select from the following answers a. metallic bonding b. network covalent bonding d. ionic bonding e. London Dispersion Forces c. hydrogen bonding e 1. Nonpolar substances such as methane (CH4) demonstrate this type of bonding. b 2. This kind of bonding is exhibited by diamond and quartz, and explains their hardness and extremely high melting points. c 3. This type of bonding is only exhibited by ammonia, water, and hydrogen fluoride, and results in these substances having unusually high melting and boiling points. d 4. This type of bonding results in solids that are poor conductors of heat and electricity, but which, when melted, are good conductors of electricity. * When an ionic compound is melted, the ions separate and can flow freely, therefore conduct Questions 5-8 refer to the following phase diagram: B 5. At this point the substance represented by the phase diagram will be solely in the solid phase at equilibrium. D 6. This point represents the boiling point of the substance. A C a 7. At this point, the substance represented by the phase diagram could be undergoing sublimation. 8. At this point the substance represented by the phase diagram will be solely in the liquid phase at equilibrium. 9. Which of the following lists of species is in order of increasing boiling point? a. H2 , N2 , NH3 b. N2, NH3, H2 c. NH3, H2, N2 d. NH3, N2, H2 e. H2, NH3, N2 * H2 and N2 are both nonpolar, therefore they use London Dispersion forces. Because the FM of N2 is greater, the forces are stronger. NH3 uses hydrogen bonding. III. Essay/Problems 1. Explain why the boiling point of argon is -186oC, but the boiling point of neon is -246oC. Both are nonpolar, therefore both exhibit London Dispersion Forces, but because the formula mass of argon is greater, it has more electrons, therefore the dispersion forces are stronger, making it more difficult to separate the atoms, therefore causing the boiling point to be greater. 2) What is the pressure of the gas in the enclosed container? P = 1.27 atm 243 mm 1.27atm 965mmHg 243 1208mmHg 1.59atm SEMESTER 1 FINAL EXAM REVIEW 11 3) Consider three identical flasks filled with different gases: Flask A: CO at 760 Torr and 0oC Flask B: N2 at 250 Torr and 0oC Flask C: H2 at 100 Torr and 0oC all C a. In which flask will the molecules have the greatest average kinetic energy? * KE=3/2 RT Since all 3 are at the same T, all have same KE b. In which flask will the molecules have the greatest average velocity? * KE = ½ mv2 Since KE is the same for all 3, the one with the least mass (H2) will have the greatest velocity 4) A gas occupies a volume of 34.2 mL at a temperature of 15.0oC and a pressure of 800.0 Torr. What will the volume of this gas be at STP? 15.0 273 288K (800.0Torr )(34.2mL) (760Torr )V2 V2 34.1mL 288K 273K 5) Find the formula mass of a gas which diffuses at a rate 1.16 times faster than that of sulfur dioxide gas. 1.16 64.1 64.1 1.3456 x 47.6 g mol x x 6) 40.0 mL of helium gas is collected over water at 20.0oC. If this gas exerts a pressure of 790.0 Torr, what would the volume of the dry gas be at STP? (Remember this is a mixture of two gases: water vapor and helium) (Pwater = 17.54 mmHg at 20.0oC) PHe 790.0 17.54 772.5mmHg 20.0 273 293K (772.5mmHg )( 40.0mL) (760mmHg )V2 V2 37.9mL 293K 273K 7) What is the density of oxygen gas collected at 21.0oC and 103.5 kPa? 21.0 273 294 K FM O2 32 g mol suppose you have 1 mol of O 2 : PV nRT (103.5kPa)V (1mol )(8.31)( 294 K ) V 23.6 L m 32 g D 1.36 g L V 23.6 L 8) If you collected 0.506 g of a gas which you know to be composed of 30.4% nitrogen and 69.6% oxygen, and it occupied a volume of 0.134 L at a temperature of 2θoC, and a pressure of 0.986 atm, what would the formula mass of the gas be? Give the molecular formula of the gas as well. 1N 2.17 N 1N 14 g N 2.17 ef : NO 2 ( FM 46) 1O 2O 69.6g O 4.35 O 16 g O 30.4 g N n PV (0.986atm)(0.134 L) m 0.506 g 92 0.00549mol FM 92 g mol 2 mf : N 2 O 4 RT (0.0821)( 293K ) n 0.00549mol 46 SEMESTER 1 FINAL EXAM REVIEW Unit VII – Chemical Kinetics & Nuclear Chemistry I. Good things to know Collision Theory; collision effectiveness, collision frequency factors that affect reaction rates: temperature, concentration, presence of a catalyst graphs of zero order, first order, and second order reactions isotopes, transmutation, fission, fusion proton, neutron, beta, alpha, postitron types of decay: which types of nuclei do which types of decay? nuclear binding energy, half life applications of nuclear chemistry, basic design of a nuclear power plant II. Multiple Choice/Short Answer. Select the best possible answer: Questions 1-3 A+BC The following are possible rate laws for the hypothetical reaction given above: a. rate = k[A] b. rate = k[B]2 c. rate = k[A][B] d. rate = k[A]2[B] e. rate = k[A]2[B]2 a 1. This is the rate law for a first order reaction b 2. When [A] is doubled, the initial rate of reaction will not change. e 3. When [A] and [B] are doubled, the initial rate of reaction will increase by a factor of sixteen. d 4. H2(g) + I2(g) 2 HI(g) When the reaction above takes place in a sealed isothermal container, the rate law is rate = k[H 2][I2] If a mole of H2 gas is added to the reaction chamber, which of the following will be true? a. The rate of reaction and the rate constant will increase b. The rate of the reaction and the rate constant will not change. c. The rate of the reaction will increase and the rate constant will decrease. d. The rate of reaction will increase and the rate constant will not change. e. The rate of reaction will not change and the rate constant will increase. b 6. 5. After 44 minutes, a sample of 44K is found to have decayed to 25% of the original amount present. What is the half life of 44K? a. 11 minutes b. 22 minutes c. 44 minutes d. 66 minutes e. 88 minutes S + F2 Na + F2 Na + F 2 NaF + SF2 SF2 NaF + F NaF Na2S + 2 F2 a. Give the overall reaction b. Name any intermediates: c. Name the catalyst: 2 Na + S Na2S SF2 , NaF , F F2 d. Given that the rate law is Rate = k(F2)(Na)2, which step is the rate-determining step? Step 3 * Note that the “rate law” for step 3 is technically: rate = k(Na)(F), but the F is an intermediate which is produced by both steps 1 & 2, so the reactants from there are included in the rate law as well. 12 13 SEMESTER 1 FINAL EXAM REVIEW A(g) + B(g) C(g) 7. The reaction above is endothermic, and first order with respect to A and first order with respect to B. Reactants A and B are present in a closed container. Predict how each of the following changes to the reaction system will affect the rate and the rate constant. a. Write the rate law for the reaction. rate = k(A)(B) b. More gas B is added to the container. rate increases, k does not change c. An inert gas D is added to the container. NO EFFECT d. The temperature of the container is increased. rate and k both increase 8. Use your knowledge of kinetics to answer the following questions: B Potential Energy A C Reaction Coordinate A a. The letter of the reactants. activated complex C b. The letter of the products. c. The term for the “stuff” at letter B. d. The activation energy is the difference between points A e. The enthalpy of reaction (ΔH) is the difference between points exothermic and A f. Is this reaction exothermic or endothermic? B and C SEMESTER 1 FINAL EXAM REVIEW 14 III. Essay Section 1. Use your knowledge of kinetics to explain each of the following statements. a. Adding a catalyst increases the rate at which a reaction takes place. adding a catalyst will allow the reaction to go through an alternate mechanism which has a lower activation energy, therefore the reaction rate will increase without a change in ΔH. b. Increasing the concentration of reactants increases the rate of a reaction. increasing the concentration of the particles forces the reactant particles closer together, which increases the frequency of collisions, therefore increasing the reaction rate. 2. Use your knowledge of nuclear chemistry to explain each of the following. a. Gamma radiation causes cancer, but infrared rays do not. Gamma radiation has a shorter wavelength. As a result, it has more energy (E = hv) and is more likely to collide with the atoms of the body tissues and cause damage. b. A nucleus weighs less than the sum of the weights of its neutrons and protons. When protons and neutrons are combined (fusion), a mass defect occurs, and the mass decreases slightly while energy is released. SEMESTER 1 FINAL EXAM REVIEW 15 IV. Problems. 1. Uranium-238 decays by alpha decay. Write the balanced nuclear reaction for this process. 238 92 U 4 234 2 He + 90Th 21 2. 11 Na goes through positron emission to become more stable. Write the balanced nuclear reaction for this step. 21 11 Na 1 + 10 Ne 0 21 A + B + C ABC 3. The following results were obtained in experiments designed to study the rate of the reaction above. Initial Concentration (M) Experiment 1 2 3 4 [A] 0.05 0.05 0.10 0.10 [B] 0.05 0.10 0.10 0.10 a. Write the rate law for the reaction. [C] 0.05 0.05 0.05 0.10 Initial Rate of Disappearanceof A (M/sec) 3.0 x 10-3 6.0 x 10-3 2.4 x 10-2 2.4 x 10-2 rate = k(A)x(B)y(C)z 2x A: 2 vs. 3: =4 x=2 B: 1 vs. 2: 2y = 2 y = 1 C: 3 vs. 4: 2z = 1 z = 0 rate = k(A)2(B) b. Calculate the value of the rate constant, k, for the reaction. Include the units. 0.024 Ms-1 = k(0.10M)2(0.10M) 24 M-2s-1 = k c. If another experiment is attempted with [A], [B], and [C] all 0.02M, what will be the initial rate of disappearance of A? rate = (24)(0.02)2(0.02) = 1.92x10-4 Ms-1 d. The following reaction mechanism was proposed for the reaction above. A + B AB A + AB A2B A2B + C A + ABC (i) Show that the mechanism is consistent with the balanced reaction. Overall Reaction: A + B + C ABC (ii) Show which step is the rate-determining step and explain your choice. the second step is rate-determining because its rate law would be written as rate = k(A)(AB), but since AB isn’t in the overall reaction, you need to find the step that generated it, which is step 1, whose rate law is rate = k(A)(B). Integrating the two rate laws together gets the desired result: rate = k(A)2(B)