Resonance and Formal Charge
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AP Chemistry › Resonance and Formal Charge
For the nitronium ion, $\mathrm{NO_2^+}$, one can draw resonance structures placing the N=O double bond to either oxygen (the structures are equivalent). In a single resonance structure, which formal-charge distribution is preferred?
N has $+2$; each O has $-1$
N has $+1$; one O has $+1$; the other O has $-1$
N has $+1$; each O has $0$ (both N=O bonds double)
N has $+1$; one O has $0$; the other O has $0$
N has $0$; each O has $+1$
Explanation
This question tests the ability to assign preferred formal charges in a resonance structure of the nitronium ion. The correct answer is E, N has +1, each O has 0 with both N=O bonds double, summing to +1. In the structure, nitrogen has two double bonds and no lone pair, leading to +1 formal charge. This is preferred for symmetry and octet satisfaction. A tempting distractor is B, N +1, one O 0, other 0, but this is incorrect as it implies inconsistent bonding, arising from the misconception of unequal bonds in symmetric ions. A transferable strategy is to use symmetric structures for ions with equivalent atoms to minimize energy.
For the nitrate ion, $\mathrm{NO_3^-}$, three resonance structures can be drawn in which one N–O bond is double and the other two are single. In any one resonance structure, which formal-charge distribution is most stable (preferred)?
N has $+1$; one O has $-2$; the other two O atoms have $0$
N has $+2$; each O atom has $-1$
N has $+1$; the two singly bonded O atoms each have $-1$; the double-bonded O has $0$
N has $0$; one O has $-1$; the other two O atoms have $0$
N has $-1$; each O atom has $0$
Explanation
This question tests the ability to determine the most stable formal charge distribution in a resonance structure of the nitrate ion by calculating formal charges and evaluating stability based on charge separation and electronegativity. The correct answer is A, where N has +1, the two singly bonded O atoms each have -1, and the double-bonded O has 0, as this distribution sums to the ion's charge of -1 and places negative charges on the more electronegative oxygen atoms. In this structure, the central nitrogen is bonded to three oxygen atoms with one double bond and two single bonds, with no lone pairs on nitrogen, leading to its +1 formal charge according to the formula valence electrons minus nonbonding electrons minus half of bonding electrons. This distribution is preferred because it minimizes the magnitude of formal charges while ensuring the positive charge is on the less electronegative nitrogen. A tempting distractor is D, where N has +2 and each O has -1, but this is incorrect because it would require all single bonds, leading to higher formal charges and less stability, stemming from the misconception that all bonds are equivalent without considering resonance. A transferable strategy is to always calculate formal charges for each atom in a Lewis structure and choose the resonance form where charges are as small as possible and negative charges are on more electronegative atoms.
For the allyl anion, $\mathrm{C_3H_5^-}$, resonance structures include $\mathrm{CH_2=CH-CH_2^-}$ and $\mathrm{^-CH_2-CH=CH_2}$. Which statement best describes the preferred resonance description?
The structure with the negative charge on the middle carbon is most stable because it has more bonds
A structure with a C≡C triple bond is most stable because it reduces electron density
The structure with the negative charge on an end carbon is most stable because terminal carbanions are always most stable
One resonance structure is invalid because carbon cannot have a negative formal charge
Both resonance structures are equivalent in stability because they have the same octet satisfaction and charge placement
Explanation
This question tests the ability to assess resonance structures of the allyl anion for stability. The correct answer is B, both resonance structures are equivalent in stability because they have the same octet satisfaction and charge placement on terminal carbons. The structures CH2=CH-CH2^- and ^-CH2-CH=CH2 are identical in energy due to symmetry. This is preferred for describing delocalized charge. A tempting distractor is A, negative on middle carbon most stable, but this is incorrect because such a structure isn't a valid resonance form, stemming from the misconception that more bonds always stabilize charges centrally. A transferable strategy is to identify equivalent resonance forms by checking for symmetry in charge distribution.
The bicarbonate ion, $\mathrm{HCO_3^-}$, has resonance structures in which the $\mathrm{C{=}O}$ double bond can be on either of the two oxygens that are not bonded to H. Which resonance description corresponds to the most stable contributors?
Two equivalent structures: one $\mathrm{C{=}O}$, one $\mathrm{C{-}O^-}$, and one $\mathrm{C{-}O(H)}$; the negative charge is on an oxygen not bonded to H
A structure with three $\mathrm{C{-}O}$ single bonds is preferred because it avoids formal charges
A structure with $\mathrm{C^-}$ and all three oxygens neutral is preferred because it minimizes charge separation
One structure dominates: the negative charge is on the oxygen bonded to H because it is stabilized by H
A structure with three $\mathrm{C{=}O}$ double bonds is preferred because it gives carbon an expanded octet
Explanation
This question tests your understanding of resonance in ions containing hydrogen atoms. For HCO₃⁻, there are two equivalent resonance structures where the C=O double bond can be on either oxygen that is not bonded to H, with the negative charge on the other non-hydrogen-bonded oxygen. These structures are equivalent because both involve the same types of atoms in similar environments. Option B incorrectly suggests the negative charge should be on the oxygen bonded to H, but this would place negative charge adjacent to the partially positive hydrogen, creating an unfavorable arrangement. When drawing resonance structures for ions with H atoms, avoid placing negative charges on atoms directly bonded to hydrogen.
The allyl cation, $\mathrm{C_3H_5^+}$, has two important resonance structures. Which statement correctly identifies the more stable resonance contributors based on formal charge and bonding?
The structure with all single bonds is preferred because it minimizes pi bonding
The structure with a $-1$ charge on one terminal carbon is preferred because opposite charges stabilize each other
The structure with two $\mathrm{C{=}C}$ double bonds is preferred because it gives all carbons octets
The structure with the $+1$ charge on the central carbon is preferred because the central carbon is more substituted
The two structures with one $\mathrm{C{=}C}$ double bond and a $+1$ charge on a terminal carbon are equivalent in stability
Explanation
This question tests your understanding of resonance stabilization in carbocations. The allyl cation C₃H₅⁺ has two equivalent resonance structures, each with one C=C double bond and the positive charge on a terminal carbon atom. These structures are equivalent because the positive charge alternates between the two terminal carbons, which are in identical chemical environments. Option B incorrectly suggests the central carbon position is preferred for the positive charge, but resonance structures show the charge is delocalized over the terminal positions. When evaluating resonance in symmetric systems, structures that differ only in the position of charge/bonds among equivalent atoms contribute equally.
The formate ion, $\mathrm{HCO_2^-}$, has two major resonance structures that differ in which oxygen is double-bonded to carbon. Which statement best describes the most stable resonance contributor(s)?
The structure with two $\mathrm{C{=}O}$ double bonds is preferred because it minimizes formal charge
The structure with two $\mathrm{C{-}O}$ single bonds is preferred because it avoids double bonds
The structure with one $\mathrm{C{=}O}$ and one $\mathrm{C{-}O^-}$ is preferred; the two such structures are equivalent in stability
The structure with $\mathrm{O^+}$ and $\mathrm{O^-}$ on the two oxygens is preferred because it shows charge separation
The structure with negative charge on carbon is preferred because carbon is less electronegative than oxygen
Explanation
This question tests your understanding of equivalent resonance structures in formate ion. For HCO₂⁻, there are two equivalent resonance structures: one with C=O to the first oxygen and C-O⁻ to the second, and another with these bonds reversed. Both structures have carbon with 0 formal charge and one oxygen with -1 formal charge, making them equally stable and equally contributing to the resonance hybrid. Option B incorrectly suggests a structure with two C=O double bonds, which would not account for the -1 charge on the ion. When molecules have symmetrical arrangements, resonance structures that differ only in the position of bonds/charges are equivalent contributors.
In the cyanate ion, OCN$^-$, consider these resonance structures: (1) $^-!$O–C≡N, (2) O=C=N$^-$, and (3) O≡C–N$^-$. Which resonance structure is expected to be the most stable contributor?
$^-!$O–C≡N (negative charge on O; C≡N triple bond)
O≡C–N$^-$ (negative charge on N; O≡C triple bond)
O=C=N (no formal charges on any atom; two double bonds)
O–C–N$^{2-}$ (all single bonds; $2-$ on N to complete octet)
O=C=N$^-$ (negative charge on N; two double bonds)
Explanation
This question tests evaluation of resonance structures for cyanate ion using formal charge and electronegativity principles. Structure (1) ⁻O-C≡N is the most stable because it places the negative formal charge on oxygen, the most electronegative atom in the molecule. In this structure, O has -1, C has 0, and N has 0 formal charge. Structure (2) O=C=N⁻ places the negative charge on the less electronegative nitrogen, making it less stable. Structure (3) O≡C-N⁻ also places negative charge on nitrogen and creates larger formal charges. Option C incorrectly identifies structure (2) as most stable, ignoring the electronegativity consideration. The strategy is to place negative formal charges on more electronegative atoms when possible.
For the sulfate ion, SO$_4^{2-}$, a student proposes two types of resonance descriptions: (I) all four S–O bonds are single (with formal charges assigned), or (II) two S=O double bonds and two S–O single bonds (with formal charges assigned). Which is the best statement about the most stable resonance contributors under typical AP Chemistry formal-charge rules?
Type II is preferred because it places the $2-$ charge entirely on sulfur
Type I is preferred because sulfur cannot exceed an octet under any circumstances
Type I and Type II are equally preferred because resonance structures must have identical formal charges
Type II is preferred because it reduces formal charges while keeping negative charges on oxygen
Type I is preferred because it gives all atoms a formal charge of $0$
Explanation
This question tests understanding of expanded octets and formal charge minimization in sulfate ion. Type II structures (two S=O double bonds and two S-O single bonds) are preferred because they reduce formal charges compared to Type I (all single bonds). In Type II, sulfur has formal charge +2, double-bonded oxygens have 0, and single-bonded oxygens have -1, giving smaller magnitude charges than Type I where sulfur would have +2 and all four oxygens would have -1. Sulfur, being in the third period, can accommodate more than 8 electrons through d-orbital participation. Option A incorrectly claims sulfur cannot exceed an octet, confusing it with second-period elements. The key principle is that third-period and heavier elements can exceed the octet to minimize formal charges.
The allyl cation, $\mathrm{C_3H_5^+}$, can be represented by two resonance structures: $\mathrm{CH_2=CH-CH_2^+}$ and $\mathrm{^+CH_2-CH=CH_2}$. Which statement best describes the most stable resonance description?
The structure with a triple bond is most stable because it minimizes formal charge
The structure with the positive charge on the middle carbon is most stable because it makes two double bonds
One resonance structure is invalid because carbon cannot have a positive formal charge
Both resonance structures are equivalent in stability because they have the same octet satisfaction and charge placement
The structure with the positive charge on an end carbon is most stable because terminal carbocations are always most stable
Explanation
This question tests the ability to evaluate resonance structures of the allyl cation based on stability and charge placement. The correct answer is C, both resonance structures are equivalent in stability because they have the same octet satisfaction and charge placement on terminal carbons. The structures CH2=CH-CH2^+ and ^+CH2-CH=CH2 are symmetric, sharing the positive charge equally. This is preferred as it reflects delocalization without favoring one form. A tempting distractor is A, positive on middle carbon most stable, but this is incorrect because it would require a different structure without terminal charges, arising from the misconception that central charges are always better. A transferable strategy is to compare symmetry and charge delocalization in resonance forms for equivalent stability.
For the acetate ion, $\mathrm{CH_3COO^-}$, two resonance structures place the negative charge on either oxygen. Considering a single resonance structure, which formal-charge distribution is preferred?
Single-bonded O has $-2$; double-bonded O has $+1$; C has $0$
Carbonyl C has $-1$; both O atoms have $0$
Both O atoms have $-1$; C has $+1$
Both O atoms have $0$; carbonyl C has $-1$
One O has $-1$ and is single-bonded; the other O has $0$ and is double-bonded; all other atoms are $0$
Explanation
This question tests the ability to determine preferred formal charges in a resonance structure of the acetate ion. The correct answer is B, where one O has -1 and is single-bonded, the other O has 0 and is double-bonded, and all other atoms are 0, summing to -1 and placing the charge on oxygen. In the structure, the carbonyl carbon has a double bond to one oxygen and a single bond to the charged oxygen, with formal charges calculated accordingly. This is preferred because it ensures octets and minimal charges. A tempting distractor is A, both O -1, C +1, but this is incorrect because it ignores the resonance distinction between single and double bonds, stemming from the misconception of averaging charges in a single structure. A transferable strategy is to calculate formal charges individually for each resonance form and favor those with charges on electronegative atoms.