Chemical Bonding — Practice Quiz

A Chemistry cheat sheet for Chemical Bonding — every key formula with its symbols defined — plus a medium-level practice quiz to test recall.

Formulas & key concepts

Electrostatic Potential Energy: Energy of interaction between two charged particles.

$$E_{\text{el}} = \frac{kQ_1Q_2}{d}$$

Where: k = Coulomb's constant (8.99 × 10<sup>9</sup> J·m/C<sup>2</sup>), Q = charges, d = distance

Dipole Moment: Measure of charge separation in a molecule.

$$\mu = Qr$$

Where: Q = magnitude of charge, r = distance between charges

Enthalpy from Bond Enthalpies: Estimate reaction enthalpy using bond energies.

$$\Delta H_{\text{rxn}} = \sum (\text{enthalpies broken}) - \sum (\text{enthalpies formed})$$

Where: For gas-phase reactions only

GroupElementConfigurationLewis Symbol
1ALi[He] 2s1Li·
2ABe[He] 2s2:Be:
3AB[He] 2s2 2p1·B·
4AC[He] 2s2 2p2:C::
5AN[He] 2s2 2p3:N::·
6AO[He] 2s2 2p4:O::
7AF[He] 2s2 2p5:F:··
8ANe[He] 2s2 2p6:Ne::
$$\text{Lewis Symbols}$$

Bond Order: Half the difference between the number of bonding electrons and antibonding electrons.

$$\text{Bond Order} = \frac{1}{2} (N_b - N_a)$$

Where: N<sub>b</sub> = number of bonding electrons, N<sub>a</sub> = number of antibonding electrons

Bond D (kJ/mol) Bond D (kJ/mol)
C-H413C-C348
C-N293C-O358
C-F485C-Cl328
C-Br276C-I240
C-S259Si-H323
Si-Si226Si-C301
Si-O368N-H391
N-N163N-O201
N-F272N-Cl200
N-Br243H-H436
H-F567H-Cl431
H-Br366H-I299
O-H463O-O146
O-F190O-Cl203
O-I234S-H339
S-F327S-Cl253
S-Br218S-S266
Multiple Bonds
C=C614C≡C839
C=N615C≡N891
C=O799C≡O1072
N=N418N≡N941
O=O495S=O523
S=S418
$$\text{Average Bond Enthalpies}$$
Bond Length (Å) Bond Length (Å)
C-H1.09C-C1.54
C=C1.34C≡C1.20
C-O1.43C=O1.21
C-N1.47C=N1.28
C≡N1.16N-O1.40
N=O1.20O-H0.96
$$\text{Average Bond Lengths}$$

Practice quiz

  1. Calculate the electrostatic potential energy between two ions, $Q_1 = +2e$ and $Q_2 = -1e$, separated by a distance of $0.25 \text{ nm}$. Use $k = 8.99 \times 10^9 \text{ J} \cdot \text{m/C}^2$ and $e = 1.602 \times 10^{-19} \text{ C}$.

    • $-1.84 \times 10^{-18} \text{ J}$
    • $1.84 \times 10^{-18} \text{ J}$
    • $-3.68 \times 10^{-18} \text{ J}$
    • $3.68 \times 10^{-18} \text{ J}$

    Answer: $-1.84 \times 10^{-18} \text{ J}$

  2. How does the electrostatic potential energy $E_{\text{el}}$ between two oppositely charged ions change if the distance $d$ between them is doubled?

    • It becomes half as negative (closer to zero).
    • It becomes twice as negative.
    • It remains the same.
    • It becomes four times as negative.

    Answer: It becomes half as negative (closer to zero).

  3. A molecule has a charge separation of $1.5 \times 10^{-19} \text{ C}$ and the distance between the separated charges is $1.2 \text{ \AA}$. Calculate its dipole moment $\mu$.

    • $1.8 \times 10^{-29} \text{ C} \cdot \text{m}$
    • $1.8 \times 10^{-30} \text{ C} \cdot \text{m}$
    • $1.25 \times 10^{-9} \text{ C} \cdot \text{m}$
    • $1.25 \times 10^{-10} \text{ C} \cdot \text{m}$

    Answer: $1.8 \times 10^{-29} \text{ C} \cdot \text{m}$

  4. Which of the following factors would lead to an increase in the dipole moment $\mu$ of a diatomic molecule?

    • Decreasing the magnitude of the separated charges.
    • Increasing the distance between the separated charges.
    • Making the molecule more symmetrical.
    • Decreasing the electronegativity difference between the atoms.

    Answer: Increasing the distance between the separated charges.

  5. Estimate the enthalpy change $\Delta H_{\text{rxn}}$ for the reaction: $2\text{H}_2(\text{g}) + \text{O}_2(\text{g}) \rightarrow 2\text{H}_2\text{O}(\text{g})$ using the provided average bond enthalpies. (H-H: $436 \text{ kJ/mol}$, O=O: $495 \text{ kJ/mol}$, O-H: $463 \text{ kJ/mol}$)

    • $-485 \text{ kJ/mol}$
    • $485 \text{ kJ/mol}$
    • $-242.5 \text{ kJ/mol}$
    • $242.5 \text{ kJ/mol}$

    Answer: $-485 \text{ kJ/mol}$

  6. The formula for $\Delta H_{\text{rxn}}$ using bond enthalpies is most accurate for which type of reactions?

    • Reactions involving solids and liquids.
    • Reactions occurring in aqueous solutions.
    • Gas-phase reactions.
    • Reactions at very low temperatures.

    Answer: Gas-phase reactions.

  7. According to the provided Lewis Symbols table, which of the following is the correct Lewis symbol for a Nitrogen atom?

    • :N::\cdot
    • :N::
    • \cdot N \cdot
    • :N:

    Answer: :N::\cdot

  8. What is the bond order for the carbon-oxygen bond in carbon monoxide, $\text{CO}$?

    • $1$
    • $2$
    • $3$
    • $2.5$

    Answer: $3$

  9. Based on the provided tables, which statement is true regarding carbon-carbon bonds?

    • A $\text{C-C}$ single bond is stronger and shorter than a $\text{C=C}$ double bond.
    • A $\text{C=C}$ double bond is stronger and shorter than a $\text{C\equiv C}$ triple bond.
    • A $\text{C\equiv C}$ triple bond is stronger and shorter than a $\text{C=C}$ double bond.
    • All carbon-carbon bonds have approximately the same strength and length.

    Answer: A $\text{C\equiv C}$ triple bond is stronger and shorter than a $\text{C=C}$ double bond.

  10. Consider the $\text{C-O}$ bond. How does its bond enthalpy and bond length compare to a $\text{C=O}$ bond?

    • $\text{C-O}$ has a higher bond enthalpy and a shorter bond length than $\text{C=O}$.
    • $\text{C-O}$ has a lower bond enthalpy and a longer bond length than $\text{C=O}$.
    • $\text{C-O}$ has a higher bond enthalpy and a longer bond length than $\text{C=O}$.
    • $\text{C-O}$ has a lower bond enthalpy and a shorter bond length than $\text{C=O}$.

    Answer: $\text{C-O}$ has a lower bond enthalpy and a longer bond length than $\text{C=O}$.

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