Princeton 2012/Barron 4th ed. AP Practice Problems Unit 4 – Bonding Multiple Choice (no calculator) For questions 1-4, one or more of the following responses will apply; each response may be used more than once or not at all in these questions. A. B. C. D. E. Metallic bonding Network covalent bonding Hydrogen bonding Ionic bonding London dispersion forces 1. Solids exhibiting this kind of bonding are excellent conductors of heat. (P4.1) 2. This kind of bonding is the reason that water is more dense than ice. (P4.2) 6. This molecule contains two pi (π) bonds. (P4.6) 7. This substance undergoes hydrogen bonding. (P4.7) For questions 8-10, one or more of the following responses will apply; each response may be used more than once or not at all in these questions. (A) BF3 (B) CO2 (C) H2O (D) CF4 (E) PH3 8. The central atom in this molecule forms sp2 hybrid orbitals. (P4.8) 3. This kind of bonding exists between atoms with very different electronegativities. (P4.3) 9. This molecule has a tetrahedral structure. (P4.9) 4. The stability exhibited by diamonds is due to this type of bonding. (P4.4) 10. This molecule has a linear structure. (P4.10) For questions 5-7, one or more of the following responses will apply; each response may be used more than once or not at all in these questions. 11. A liquid that is held together by which of the following forces would be expected to have the lowest boiling point? (P4.11) (A) CH4 (B) NH3 (C) NaCl (D) N2 (E) H2 5. This substance undergoes ionic bonding. (P4.5) a. b. c. d. e. Ionic bonds London dispersion forces Hydrogen bonds Metallic bonds Network bonds Princeton 2012/Barron 4th ed. 12. Hydrogen bonding would be seen in a sample of which of the following substances? (P4.12) a. b. c. d. e. CH4 H2 H2O HI All of the above 13. Which of the following species does NOT have a tetrahedral structure? (P4.13) a. b. c. d. e. CH4 NH4+ SF4 AlCl4CBr4 14. Which form of orbital hybridization can form molecules with shapes that are either trigonal pyramidal or tetrahedral? (P4.14) a. b. c. d. e. sp sp2 sp3 d2sp dsp3 15. The six carbon atoms in a benzene molecule are shown in different resonance forms as three single bonds and three double bonds. If the length of a single carbon-carbon bond is 154 pm and the length of a double carbon-carbon bond is 133 pm, what length would be expected for the carbon-carbon bonds in benzene? (P4.15) a. b. c. d. e. 126 pm 133 pm 140 pm 154 pm 169 pm 16. Which of the following structures could be the Lewis structure for sulfur trioxide? (P4.16) a. b. c. d. e. Princeton 2012/Barron 4th ed. 17. In which of the following species does the central atom NOT form sp2 hybrid orbitals? (P4.17) a. b. c. d. e. SO2 BF3 NO3SO3 PCl3 18. A molecule whose central atom has d2sp3 hybridization can have which of the following shapes? (P4.18) I. Tetrahedral II. Square pyramidal III. Square planar a. b. c. d. e. I only III only I and II only II and III only I, II, and III 19. Which of the following molecules will have a Lewis dot structure with exactly one unshared electron pair on the central atom? (P4.19) a. b. c. d. e. H2O PH3 PCl5 CH2Cl2 BeCl2 20. Which of the following lists of species is in order of increasing boiling points? (P4.20) a. b. c. d. e. H2, N2, NH3 N2, NH3, H2 NH3, H2, N2 NH3, N2, H2 H2, NH3, N2 21. Solid NaCl melts at a temperature of 800°C, while solid NaBr melts at 750°C. Which of the following is an explanation for the higher melting point of NaCl? (P4.21) a. A chlorine ion has less mass than a bromine ion. b. A chlorine ion has a greater negative charge than a bromine ion. c. A chlorine ion has a lesser negative charge than a bromine ion. d. A chlorine ion is smaller than a bromine ion. e. A chlorine ion is larger than a bromine ion. 22. Which of the compounds listed below would require the greatest energy to separate it into ions in the gaseous state? (P4.22) a. b. c. d. e. NaCl NaI MgO Na2O MgCl2 23. Which sample of the following compounds contains both ionic and covalent bonds? (P4.23) a. b. c. d. e. H2O2 CH3Cl C2H3OH NaNO3 NH2OH Princeton 2012/Barron 4th ed. 24. Which of the molecules listed below has the largest dipole moment? (P4.24) a. b. c. d. e. Cl2 HCl SO3 NO N2 a. b. c. d. e. 25. Which of the following statements about boiling points is (are) correct? (P4.25) I. II. III. a. b. c. d. e. 26. Which of these molecules has a shape related to a tetrahedron (or has sp3 bonding)? (B5.1) H2O boils at a higher temperature than CO2. Ar boils at a higher temperature than He. Rb boils at a higher temperature than Na. I only I and II only I and III only II and III only I, II, and III For questions 26-30, one or more of the following responses will apply; each response may be used more than once or not at all in these questions. I. II. III. IV. V. CBr4 PF5 NH3 SO3 HCN I and III II III and V IV V 27. Which of these molecules is linear? (B5.2) a. b. c. d. e. I II III IV V 28. Which of these molecules has the most pi bonds? (B5.3) a. b. c. d. e. I II III IV V 29. Which of these molecules has all atoms lying in the same plane? (B5.4) a. b. c. d. e. I and III II III and V IV IV and V Princeton 2012/Barron 4th ed. 30. Which of these molecules uses more than an octet of electrons in its Lewis structure? (B5.5) a. b. c. d. e. I and III II III and V IV V 31. In which of the following are the elements listed in order of increasing electronegativity? (B5.6) a. b. c. d. e. Ba, Zn, C, Cl N, O, S, Cl N, P, As, Sb K, Ba, Si, Ga Li, K, Na, Ca 32. Which of the following bonds is expected to be the most polar? (B5.7) a. b. c. d. e. C—Si C—N O—C S—C H—C 33. For which of the following may we draw both polar and nonpolar Lewis structures? (B5.8) a. b. c. d. e. CHCl3 NH3 BF3 SF2Cl2 PCl5 34. Which of the following has the fewest pi bonds and is nonpolar? (B5.9) a. b. c. d. e. HCCH CO2 CO3-2 N2 SO2 35. The SF5- ion has a square pyramid structure. The hybridization of the s orbitals in sulfur is (B5.10) a. b. c. d. e. sp3d sp sp3d2 sp3 sp2 36. Which of the following is NOT a linear structure? (B5.11) a. b. c. d. e. I2 I3CO2 H2S H—C≡C—H 37. The Lewis structure of the cyanide ion most closely resembles (B5.12) a. b. c. d. e. N2 O2 CO2 NO C2H2 Princeton 2012/Barron 4th ed. 38. In which of the following pairs are the two items NOT properly related? (B5.13) a. b. c. d. e. sp3 and 109.5° trigonal planar and 120° octahedral and sp3d sp and 180° square planar and sp3d2 39. How many resonance structures are possible for the SO3 molecule? (B5.14) a. b. c. d. e. None 2 3 4 4/3 40. Which of the following has a nonbonding pair of electrons on the central atom? (B5.15) a. b. c. d. e. BCl3 NH3 CCl2Br2 PF5 SO4-2 41. Which of the following is true when C=C and C≡C bonds are compared? (B5.16) a. The triple bond is shorter than the double bond. b. The double bond vibrates at a lower frequency than the triple bond. c. The double-bond energy is lower than the triple-bond energy. d. Both are composed of sigma and pi bonds. e. All of the above are true. 42. Which angle is NOT expected in any simple molecule? (B5.19) a. b. c. d. e. 60° 90° 109.5° 120° All of these are reasonable angles 43. Sulfur forms the following compounds: SO2, SF6, SCl4, SCl2. Which form of hybridization is NOT represented by these molecules? (B5.20) a. b. c. d. e. sp sp2 sp3 sp3d sp3d2 Princeton 2012/Barron 4th ed. Essays 1. Use the principles of bonding and molecular structure to explain the following statements. (P4.1) a. The boiling point of argon is -186°C, whereas the boiling point of neon is -246°C. b. Solid sodium melts at 98°C, but solid potassium melts as 64°C. c. More energy is required to break up a CaO(s) crystal into ions than to break up a KF(s) crystal into ions. d. Molten KF conducts electricity, but solid KF does not. 2. The carbonate ion CO3-2 is formed when carbon dioxide, CO2, reacts with slightly basic cold water. (P4.2) a. (i) Draw the Lewis electron dot structure for the carbonate ion. Include resonance forms if they apply. (ii) Draw the Lewis electron dot structure for carbon dioxide. b. Describe the hybridization of carbon in the carbonate ion. c. (i) Describe the relative lengths of the three C-O bonds in the carbonate ion. (ii) Compare the average bond length of the C-O bonds in the carbonate ion to the average length of the C-O bonds in carbon dioxide. 3. (P4.3) Substance H2 N2 O2 Cl2 Boiling Point (°C) -253° -196° -182° -34° Bond Length (วบ) 0.75 1.10 1.21 1.99 Bond Strength (kcal/mol) 104.2 226.8 118.9 58.0 a. Explain the differences in the properties given in the table above for each of the following pairs. i. The bond strengths of N2 and O2 ii. The bond strengths of H2 and Cl2 iii. The boiling points of O2 and Cl2 Princeton 2012/Barron 4th ed. b. Use the principles of molecular bonding to explain why H2 and O2 are gases at room temperature, while H2O is a liquid at room temperature. 4. H2S, SO4-2, XeF2, ICl4- (P4.4) a. Draw a Lewis electron dot diagram for each of the dot molecules listed above. b. Use the valence shell electron-pair repulsion (VSEPR) model to predict the geometry of each of the molecules. 5. Use the principles of bonding and molecular structure to explain the following statements. (P4.5) a. The angle between the N-F bonds in NF3 is smaller than the angle between the BF bonds in BF3. b. Diamond is one of the hardest substances on Earth. c. HCl has a lower boiling point than either HF or HBr. 6. Answer the following questions regarding the concepts and properties concerning the structure and geometry of molecular compounds. (B5b-e) a. Draw the Lewis structure for NCl3. Explain the geometric shape of this molecule based on the VSEPR theory. Explain what hybrid orbitals are needed to produce this structure. Why is the molecule NCl5 impossible? b. Use the results for part (a) to answer this question. Based on this structure, are the bonds in this molecule polar? If so, indicated the positive and negative poles in an appropriate manner. Explain your reasoning. c. Use the results for part (a) to answer this question. Finally, based on this structure, is this molecule polar? If so, indicate the positive and negative poles in an appropriate manner. Explain your reasoning. d. Explain the difference between sigma and pi bonds using the appropriate theories and examples. Princeton 2012/Barron 4th ed. Answer Key – Unit 4: Bonding Multiple Choice 1. A 2. C 3. D 4. B 5. C 6. D 7. B 8. A 44. 9. D 10. B 11. B 12. C 13. C 14. C 15. C 16. A 17. E 18. D 19. B 20. A 21. D 22. C 23. D 24. B 25. B 26. A 27. E 28. E 29. E 30. B 31. A 32. C 33. D 34. C 35. C 36. D 37. A 38. C 39. C 40. B 41. E 42. A 43. A Essays 1. (a) Molecules of noble gases in the liquid phase are held together by London dispersion forces, which are weak interactions brought about by instantaneous polarities in nonpolar atoms and molecules. Atoms with more electrons are more easily polarized and experience stronger London dispersion forces. Argon has more electrons than neon, so it experiences stronger London dispersion forces and boils at a higher temperature. (b) Sodium and potassium are held together by metallic bonds and positively charged ions in a delocalized sea of electrons. Potassium is larger than sodium, so the electrostatic attractions that hold the atoms together act at a greater distance, reducing the attractive force and resulting in its lower melting point. (c) Both CaO(s) and KF(s) are held together by ionic bonds in crystal lattices. CaO is more highly charged, with Ca+2 bonded to O-2. KF is not as highly charged, with K+ bonded to F-. CaO is held together by stronger forces and is more difficult to break apart. (d) KF is composed of K+ and F- ions. In the liquid (molten) state, these ions are free to move and can thus conduct electricity. In the solid state, the K+ and F- ions are fixed in a crystal lattice and their electrons are localized around them, so there is no charge that is free to move and thus no conduction of electricity. 2. (a) (i) (ii) (b) The central carbon atom forms three sigma bonds with oxygen atoms and has no free electron pairs, so its hybridization must be sp2. Princeton 2012/Barron 4th ed. (c) (i) All three bonds will be the same length because no particular resonance form is preferred over the others. The actual structure is an average of the resonance structures. (ii) The C-O bonds in the carbonate ion will be shorter than single bonds and longer than double bonds, while the C-O bonds in carbon dioxide are both double bonds. The bonds in the carbonate ion will be shorter than single bonds and longer than double bonds, so the carbonate bonds will be longer than the carbon dioxide bonds. 3. (a) (i) The bond strength of N2 is larger than the bond strength of O2 because N2 molecules have triple bonds and O2 molecules have double bonds. Triple bonds are stronger and shorter than double bonds. (ii) The bond length of H2 is smaller than the bond length of Cl2 because hydrogen is a smaller atom than chlorine, allowing the hydrogen nuclei to be closer together. (iii) Liquid oxygen and liquid chlorine are both nonpolar substances that experience only London dispersion forces of attraction. These forces are greater for Cl2 because it has more electrons (which makes it more polarizable), so Cl2 has a higher boiling point than O2. (b) H2 and O2 are both nonpolar molecules that experience only London dispersion forces, which are too weak to form the bonds required for a substance to be liquid at room temperature. H2O is a polar substance whose molecules form hydrogen bonds with each other. Hydrogen bonds are strong enough to form the bonds required in a liquid at room temperature. 4. (a) (b) H2S has two bonds and two free electron pairs on the central S atom. The greatest distance between the electron pairs is achieved by tetrahedral arrangement. The electron pairs at two of the four corners will cause the molecule to have a bent shape, like water. SO4-2 has four bonds around the central atom and no free electron pairs. The four bonded pairs will be farthest apart when they are arranged in a tetrahedral shape, so the molecule is tetrahedral. XeF2 has two bonds and three free electron pairs on the central Xe atom. The greatest distance between the electron pairs can be achieved by a trigonal bipyramidal arrangement. The three free electron pairs will occupy the equatorial positions, which are Princeton 2012/Barron 4th ed. 120 degrees apart, to minimize repulsion. The two F atoms are at the poles, so the molecule is linear. ICl4- has four bonds and two free electron pairs on the central I atom. The greatest distance between the electron pairs can be achieved by an octahedral arrangement. The two free electron pairs will be opposite each other to minimize repulsion. The four Cl atoms are in the equatorial positions, so the molecule is square planar. 5. (a) BF3 has three bonds on the central B atom and no free electron pairs, so the structure of BF3 is trigonal planar, with each of the bonds 120 degrees apart. NF3 has three bonds and one free electron pair on the central N atom. The four electron pairs are pointed toward the corners of a tetrahedron, 109.5 degrees apart. The added repulsion from the free electron pair causes the N-F bonds to be even closer to together, and the angle between them is more like 107. (b) The carbon atoms in diamond are bonded together in a tetrahedral network, with each carbon atom bonded to three other carbon atoms. The tetrahedral structure of the network bonds does not leave any seams along which the diamond can be broken, so a diamond behaves as one big molecule with no weaknesses. (c) HBr and HCl are polar molecules. In liquid form, both substances are held together by dipole-dipole interactions. These interactions are stronger for molecules with more electrons, so HBr has stronger intermolecular bonds and a higher boiling point. HF has a higher boiling point than HCl because HF undergoes hydrogen bonding, while HCl does not; this causes HF to remain a liquid at higher temperatures than HCl, although HF is a polar molecule with fewer electrons than HCl. 6. (a) This molecule is an AX3E shape, where three atoms and a nonbonding electron pair are on the central atom, N. The VSEPR theory states that these four will repel each other and form an arrangement where the atoms and electron pairs are as far apart as possible. This results in a tetrahedral shape. If the electrons are not “seen,” then the shape of the atoms alone is a triangular pyramid. To obtain the tetrahedral shape, a set of four sp3 hybrid orbitals must form. This results when the 2s (one orbital) and the 2p (three orbitals) energy levels combine to form one energy level with four equivalent bonds. The NCl5 would require the formation of an sp3d2 hybrid. However, there are no available d-orbitals to use to make these hybrids, and therefore NCl5 is impossible. Only elements in the 3rd period and below are able to have more than 8 valence electrons surrounding the central atom. (b) The N—Cl bonds in this molecule are polar because a significant difference in electronegativity is expected between Cl and N. This polarity of the bond can be indicated by the following Princeton 2012/Barron 4th ed. (c) The structure and direction of the polar bonds in a molecule are arranged to see if the bond polarity cancels. Generally, bond polarity will cancel and a molecule will be nonpolar if the molecule is perfectly symmetrical. In this case, the molecule is not symmetrical, and the polarities of the individual N—Cl bonds do not cancel. The molecule has only two poles, on negative, in space between the three Cl atoms. The positive end resides near the nitrogen atom. Again, only partial charges are formed, and this can be shown by (d) Sigma bonds form when there is a high electron density between two nuclei. The line between the two nuclei is called the internuclear axis. The greater the density of electrons along the internuclear axis, the stronger the bond. Because the reguin in space is taken up with sigma bonding electrons, the pi bond forms with increased electron density on either side of the internuclear axis. Each pi bond has two electron clouds, one on either side of the internuclear axis. The nature of sigma and pi bonds can be explained on the basis of valence bond theory. Valence bond theory considers bonds forming from the overlap of orbitals. Direct overlap of two s-orbitals, and s- and a p-orbital, or two p-orbitals along the internuclear axis results in a sigma bond. Sidewise overlap of two p-orbitals results in a pi bond.