Resonance and Formal Charge

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AP Chemistry › Resonance and Formal Charge

Questions 1 - 10
1

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 $+1$; one O has $+1$; the other O has $-1$

N has $0$; each O has $+1$

N has $+2$; each O has $-1$

N has $+1$; one O has $0$; the other O has $0$

N has $+1$; each O has $0$ (both N=O bonds double)

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.

2

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 the positive charge on an end carbon is most stable because terminal carbocations are always most stable

One resonance structure is invalid because carbon cannot have a positive formal charge

The structure with the positive charge on the middle carbon is most stable because it makes two double bonds

The structure with a triple bond is most stable because it minimizes 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 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.

3

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.

4

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 $+1$; the two singly bonded O atoms each have $-1$; the double-bonded O has $0$

N has $+2$; each O atom has $-1$

N has $0$; one O has $-1$; the other two O atoms have $0$

N has $-1$; each O atom has $0$

N has $+1$; one O has $-2$; the other two O atoms have $0$

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.

5

For the chlorate ion, $\mathrm{ClO_3^-}$, multiple resonance structures can be drawn. Using the AP Chemistry guideline that third-row elements may have expanded octets, which resonance structure is most stable (preferred)?

Three Cl–O single bonds: Cl has $+2$; each O has $-1$ (Cl has an octet)

Three Cl=O: Cl has $-1$; each O has $0$ (Cl has 12 electrons)

One Cl≡O and two Cl–O: Cl has $-1$; two O have $-1$; one O has $+1$

Two Cl=O and one Cl–O: Cl has $0$; one O has $-1$; two O have $0$ (Cl has 10 electrons)

One Cl=O and two Cl–O: Cl has $+1$; two O have $-1$; one O has $0$ (Cl has an octet)

Explanation

This question tests the ability to select the most stable resonance structure for the chlorate ion using expanded octets and formal charge minimization. The correct answer is C, two Cl=O and one Cl–O, Cl has 0, one O has -1, two O have 0, with Cl having an expanded octet, as this minimizes formal charges to sum -1. In this structure, Cl has 12 electrons (2 nonbonding + 10 bonding), allowing FC 0 by the formal charge formula. This is preferred for third-row elements to reduce positive charge on Cl. A tempting distractor is B, Cl +1, two O -1, one O 0, but this is incorrect because it has higher absolute charges than C, arising from the misconception that octets cannot be expanded beyond 10 electrons. A transferable strategy is to allow expanded octets for elements beyond the second row to achieve lower formal charges.

6

For the cyanate ion, $\mathrm{OCN^-}$, resonance structures include $\mathrm{^-O-C!\equiv N}$ and $\mathrm{O=C=N^-}$. Which resonance structure is most stable (preferred)?

$\mathrm{O!\equiv C-N^-}$ (triple bond to O; negative charge on N)

$\mathrm{O^+!\equiv C-N^{2-}}$ (places more negative charge on N to match its electronegativity)

$\mathrm{^-O-C!\equiv N}$ (negative charge on O; minimal charge separation)

$\mathrm{O^-!=C!=N}$ (negative charge on O with N positive)

$\mathrm{O=C=N^-}$ (negative charge on N; carbon has an expanded octet)

Explanation

This question tests the ability to select the most stable resonance structure for the cyanate ion using formal charges and electronegativity. The correct answer is A, ^-O-C≡N with negative charge on O, as oxygen is more electronegative than nitrogen, minimizing charge separation. In this structure, formal charges are O -1, C 0, N 0, summing to -1 with octets. This is preferred for placing charge on O. A tempting distractor is C, O=C=N^-, but this is incorrect because it places the charge on less electronegative N, stemming from the misconception that double bonds stabilize better than triple regardless of charge location. A transferable strategy is to prioritize structures with negative charges on the most electronegative atoms.

7

For the bromate ion, $\mathrm{BrO_3^-}$, consider resonance structures analogous to chlorate. Using the guideline that bromine can have an expanded octet, which resonance structure is most stable (preferred)?

Three Br–O single bonds: Br has $+2$; each O has $-1$ (Br has an octet)

One Br=O and two Br–O: Br has $+1$; two O have $-1$; one O has $0$ (Br has an octet)

One Br≡O and two Br–O: Br has $-1$; two O have $-1$; one O has $+1$

Three Br=O: Br has $-1$; each O has $0$ (Br has 12 electrons)

Two Br=O and one Br–O: Br has $0$; one O has $-1$; two O have $0$ (Br has 10 electrons)

Explanation

This question tests the ability to choose the most stable resonance structure for the bromate ion using expanded octets. The correct answer is C, two Br=O and one Br–O, Br has 0, one O has -1, two O have 0, with Br expanded octet, summing to -1. In this structure, Br has 12 electrons, achieving FC 0. This is preferred for minimizing charges. A tempting distractor is B, Br +1, two -1, one 0, but this is incorrect as it has higher charges, arising from the misconception of limiting to octet without expansion. A transferable strategy is to apply expanded octet rules to halogen anions for optimal formal charges.

8

Ozone, $\mathrm{O_3}$, can be represented by two resonance structures in which one O–O bond is double and the other is single. Which resonance structure is most stable (preferred) based on formal charges?

Central O has $0$; one terminal O has $-1$; the other terminal O has $+1$

Central O has $-1$; one terminal O has $+1$; the other terminal O has $0$

Central O has $+2$; each terminal O has $-1$

Central O has $0$; both terminal O atoms have $0$

Central O has $+1$; the singly bonded terminal O has $-1$; the double-bonded terminal O has $0$

Explanation

This question tests the ability to evaluate resonance structures of ozone based on formal charge stability. The correct answer is A, where the central O has +1, the singly bonded terminal O has -1, and the double-bonded terminal O has 0, as this distribution sums to 0 for the neutral molecule and places the negative charge on a terminal oxygen. In the structure, the central oxygen has one double bond and one single bond with a lone pair, leading to its +1 formal charge. This is preferred because it achieves octet satisfaction and minimizes charge magnitude. A tempting distractor is E, central O 0, one terminal -1, other +1, but this is incorrect because it places a positive charge on a more electronegative terminal oxygen, stemming from the misconception that charges should be balanced without considering electronegativity. A transferable strategy is to prioritize resonance structures where positive charges are on less electronegative atoms and verify octet completion.

9

The azide ion, $\mathrm{N_3^-}$, has resonance structures including $\mathrm{^-N!=N^+!=N^-}$ and $\mathrm{N!!\equiv N^+!!-N^{2-}}$ (and the reversed form). Which resonance structure is most stable (preferred)?

$\mathrm{N!!\equiv N^+!!-N^{2-}}$ (one end $-2$, one end $0$, center $+1$)

$\mathrm{N!=N!=N^-}$ (center neutral, one end $-1$, incomplete octet on center)

$\mathrm{^-N!=N^+!=N^-}$ (ends $-1$, center $+1$, all octets satisfied)

$\mathrm{N^{2-}!!-N^+!!\equiv N}$ (one end $-2$, one end $0$, center $+1$)

$\mathrm{^-N!!\equiv N!!\equiv N}$ (center neutral, one end $-1$)

Explanation

This question tests the ability to identify the most stable resonance structure for the azide ion based on formal charges and octet satisfaction. The correct answer is B, ^-N=N^+=N^-, with ends -1, center +1, and all octets satisfied, as this minimizes charge magnitude and places negative charges on terminal nitrogens. In this structure, double bonds ensure all atoms have octets, and the formal charges sum to -1. This is preferred over structures with higher charges like -2 on one nitrogen. A tempting distractor is A, N≡N^$+-N^{2-}$, but this is incorrect because it has higher formal charge magnitudes, arising from the misconception that triple bonds always stabilize better regardless of charge increase. A transferable strategy is to select resonance forms with the lowest absolute formal charges and complete octets for all atoms.

10

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

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

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

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.

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