Answer Key 2015 Ch 1a, Problem Set Six Side 1 of 7 Problem One – Lewis and VSEPR – 8 points each a. CO2, linear O C O d. PH3, trigonal pyramidal O C O P acceptable, not required b. PF5, trigonal bipyramidal F F P H H H e. HCP, linear H C P F F F f. IF3,t-shaped F c. CO, linear F C O I F The geometry must be named, and must be somewhat clear from the sketches. 4 points for listing the geometry, 3 for the Lewis diagram/charges, 1 point for the geometry in the sketch. Lone pairs must all be drawn, except for on F (−1 penalty if any are missing). −1 if any formal charges are missing. –2 for each extra incorrect resonance structure. –2 per missing resonance structure. No deductions for extra correct structures (if there are any). Max deduction 8 points. Answer Key 2015 Ch 1a, Problem Set Six Side 2 of 7 Problem Two – Lewis and VSEPR – 6 points each a. BrF5 , square pyramidal d. BH2NH2, planar (or trigonal planar) F F F Br F F H B N O N N c. CH3CCH, tetrahedral, linear H H C H N H H note: lacks octet at Boron e. SF2O, trigonal pyramidal S C H B O H C H N H b. N2O, linear N H O F F H The geometry must be named, and must be somewhat clear from the sketches. 3 points for the shape, 2.5 for the Lewis diagram/charges, 0.5 for the shape in the sketch. Lone pairs must all be drawn, except for on F (−1 penalty if any are missing). −1 if any formal charges are missing. –1.5 for each extra incorrect resonance structure. –1.5 per missing resonance structure. No deductions for extra correct structures (if there are any). Max deduction 6 points. S O F F Answer Key 2015 Ch 1a, Problem Set Six Side 3 of 7 Problem Three – Ions –15 points each a C F 2+ CF+ (Also accepted a double-bonded species for full credit, but –8 points for single-bond) (The structure given above forms octets and maximizes bonding but places 2+ charge on fluorine, which is highly undesirable. Despite this issue, the structure shown above is correct but not because the Lewis diagram truly predicts it.) bO O P O O P O O P O O O (+5 equivalent structures) O O O (+3 equivalent structures) –8 points if either structure is missing –3 points if number of equivalent structures was incorrect PO43O P O O O 3– P O O O 2– O P O O O O P O O O O P O O O O (+3 equivalent (+5 equivalent (+3 equivalent structures) structures) structures) (NOTE: These other three structures are not as reasonable because of the negative charge on less EN phosphorous atom. No points for these structures.) c O O O ClO4- O O Cl O Cl O O O O Cl O O Cl 2+ O O O Cl O O + 3 equivalent + 5 equivalent structures structures 5 points for each structure –3 points if number of equivalent structures was incorrect O O O O O Cl 2+ O O O Cl O O 3+ O + 3 equivalent structures (NOTE : The last two structures are not as reasonable because of the large positive charge on the EN chlorine atom. No points for these structures.) 3+ O Answer Key 2015 Ch 1a, Problem Set Six Side 4 of 7 d OH3+ O H H e O ClO2- H Cl O O Cl O (+1 equivalent structure) –8 points for missing one of the two structures. –3 points for incorrect number of equivalent structures. For all parts: –8 if the sum of formal charges is not equal to the molecule’s total charge. Lone pairs must all be drawn, except for on F (−2 penalty if any are missing). −2 if any formal charges are missing. Answer Key 2015 Ch 1a, Problem Set Six Side 5 of 7 Problem Four – Bond Angle – 8 points each 3 points for answer, 5 points for explanation a. NH3 and NH4+ Larger bond angle: NH4+ Explanation: Both molecules have the same electronic domain geometry (tetrahedral) but they have different molecular domain geometries – NH3 is trigonal pyramidal and NH4+ is tetrahedral – because NH3 has a lone pair of electrons. A symmetric tetrahedral molecule, like CH4 or NH4+, has bond angles of 109.5°, but the presence of the lone pair of electrons in NH3 causes the bond angle to get smaller. (lecture notes, VIII-10) b. BCl3 and PCl3 Larger bond angle: BCl3 Explanation: BCl3 is a symmetric trigonal planar molecule with 120° bond angles. (lecture notes VIII-6) PCl3 is trigonal pyramidal with bond angles <109.5° since the lone-pair:bonding-pair repulsion is greater than the bonding-pair:bonding-pair repulsion. Thus, BCl3 has a larger bond angle. c. OF2 and SF2 Larger bond angle: OF2 Explanation: Just as for the OH2, SH2, SeH2 series presented in class (lecture notes, VIII-11), the lone pairs get “fatter” on the central atom as the radius of the central atom increases and the strength of the lone-pair:bonding-pair repulsion increases. As the lone pairs get “fatter”, they push the attached atoms closer together since the bonding-pair:bonding-pair repulsion is the same for both molecules. Since the lone pairs on OF2 are not as “fat” as the lone pairs on SF2, then the bond angle in OF2 is larger. *Note: Many answers contained explanations based on differing electronegativity of the central atom. In this context, electronegativity is not relevant, and no credit was given for explanations that did not address the radius of the central atom. Side note: Actual bond angles (OF2: 103.8°; SF2: 98°). source: J. Barrett, “Structure and Bonding.” Royal Society of Chemistry, 2001 (p.114) Answer Key 2015 Ch 1a, Problem Set Six Side 6 of 7 d. NF3 and NCl3 Larger bond angle: NCl3 Either explanation was accepted for full credit. Explanation: In this case the central atom remains the same; so the lone pair doesn’t get any “fatter.” The bonding atoms do change though. As the bonding atoms get larger, they repel each other more strongly. The lone-pair:bonding-pair repulsion increases slightly as the bonding atom gets larger, but the bondingpair:bonding-pair repulsion increases more and the bond angle increases. Since Cl is larger than F, NCl3 will have a larger bond angle caused by the increased bonding-pair:bonding-pair interactions. Repulsion must be mentioned for full credit, –2 points if repulsion was not mentioned. (“chlorine is bigger” by itself is not a complete answer.) Alternate explanation: Traditionally, we focused on electronegativities of bonding atoms. In OGC6, p. 95 you’ll read “because Cl is more electronegative than H, it tends to attract electrons away from the central atom, reducing the electron-pair repulsion.” If you replace “H” with “Cl” and “Cl” with “F” in the text, the statement is still true and explains why NCl3 has a larger bond angle than NF3. This explanation is also consistent with the original VSEPR rules developed by Gillespie: "The strength of the repulsion between single bonds decreases with increasing electronegativity of the ligand and/or decreasing electronegativity of the central atom." Although this alternative explanation has recently fallen out of favor, we’ll still accept it as a correct answer. But even Ron Gillespie – one of the main developers of VSEPR – has re-evaluated his long-time position on electronegativity vs. ligand size as the root cause of bond angle variation. In a recent review article (July 2008), Gillespie states “Overall ligand size explains those bond angles that are not consistent with the electronegativity rule but also those that are consistent with the rule, so it is reasonable to replace the electronegativity rule of the original VSEPR model with the rule that bond angles increase with ligand size.” (R.J. Gillespie, “Fifty Years of the VSEPR Model,” Coordination Chemistry Reviews, 252:12-14, p. 1320.) This variation of VSEPR is sometimes called the Ligand Close Packing (LCP) model. Side note: Actual bond angles (NF3: 102.1°; NCl3: 107.1°). source: J. Barrett, “Structure and Bonding.” Royal Society of Chemistry, 2001 (p.135) Answer Key 2015 Ch 1a, Problem Set Six Side 7 of 7 Problem Five – Atmospheric Chemistry – 15 points .. . :Cl .. .. - O: + .. . .. :O .. - N = O: .. . .. :O = N - O: .. + - : .. .. .. :Cl N - O: .. - +1 ..-1 .. - O - O: - = O: a) Draw the Lewis structures of ClO, NO2, and ClONO2, including any significant resonance structures. (3 pts: ClO; 4 pts: NO2; 4 pts: ClONO2 and –1 point for every incorrect structure.) : : -1 .. .. :Cl N = O: .. - +1 .. .. - O OR .. .. .. .. :Cl .. - N = O: .. .. - O .. - O b) Use these Lewis structures to explain why ClO and NO2 are so much more reactive than ClONO2. ClO and NO2 both have atoms with incomplete octets. Species such as these, called free radicals, are very reactive because of their unpaired electrons. ClONO2, on the other hand, has no unpaired electrons and so is much more stable (it also has some resonance stabilization, but this is insignificant relative to the paired vs unpaired electron effect). (4 points: anything about incomplete octets.)