4. Using the flowchart for determining the point group. What is the next step if the molecule does not contain n perpendicular C₂ axes?
(A) Does the molecule contain a horizontal reflection plane (σₕ)?
(B) Does the molecule contain n dihedral reflection planes (σ_d)?
(C) Does the molecule contain a reflection plane?
(D) Does the molecule contain a proper rotation axis (Ĉₙ)?
(E) Does the molecule contain n vertical reflection planes (σᵥ)?

1. Metal-Organic Frameworks, the subject of the 2025 Nobel Prize in Chemistry, are best described by which structural characteristic? (A) Long protein chains folded into enzymatic shapes. (B) Two-dimensional sheets of carbon atoms arranged in a honeycomb lattice. (C) Porous crystalline materials composed of metal nodes linked by organic ligands. (D) Dense metallic alloys with high conductivity. (E) Amorphous solids with random atomic arrangements.

2. Determine the point group of boric acid, H₃BO₃. (A) C₃ᵥ (B) D₃ₕ (C) D₃d (D) C₃ₕ (E) C₃

3. Why is boric acid classified as an acid in aqueous solution? (A) It dissociates to release one of its own H⁺ ions from a hydroxyl group. (B) It acts as a Lewis acid by accepting an OH⁻ ion from water, effectively releasing a proton. (C) It contains three replaceable hydrogen atoms that all dissociate simultaneously. (D) It is not acid. (E) It reacts with bases to form salt and water through a simple neutralization of its H atoms.

5. What is the following reaction mechanism?  (A) Oxidative insertion (B) Reductive elimination (C) Migratory insertion (D) Transmetallation (E) Substitution

6. The atomic radius of aluminum (Al) is 143 pm, while that of gallium (Ga) is 122 pm. Why is Al larger than Ga, despite Ga being below Al in Group 13? (A) Ga is a transition metal, which inherently has a smaller radius than p-block elements like Al. (B) The addition of the 3d subshell in Ga provides poor shielding, leading to a higher effective nuclear charge that pulls valence electrons closer. (C) Al has more electron shells occupied than Ga, causing its atomic radius to be larger. (D) Ga has a more stable electron configuration that allows its valence shell to contract more easily than Al's. (E) Ga is larger than Al.

7. What is the total number of electrons that can be in level n = 5? (A) 32 (B) 2 (C) 50 (D) 8 (E) 18

8. The valence electron configuration of an element is ns²(n-1)d¹⁰np². Which group does this element belong to? (A) 13 (B) 14 (C) 15 (D) 16 (E) 17

9. Order the following diatomic molecules from the shortest to longest bond: C₂, B₂, H₂, N₂. (A) N₂, C₂, B₂, H₂ (B) C₂, N₂, H₂, B₂ (C) H₂, N₂, C₂, B₂ (D) C₂, B₂, H₂, N₂ (E) H₂, N₂, B₂, C₂

10. Vibrational transitions in a given molecule typically require energies that correspond to which region of the electromagnetic spectrum? (A) Visible (B) UV (C) IR (D) X-ray (E) microwave

11. In palladium-catalyzed cross-coupling reactions, such as the Suzuki-Miyaura coupling or Heck reaction, why is the addition of a base typically essential? (A) To increase the oxidation state of the palladium catalyst from Pd(0) to Pd(II) to initiate oxidative addition. (B) To activate the organometallic nucleophile or to neutralize the hydrogen halide (HX) generated during the catalytic cycle. (C) To serve as a sacrificial oxidant that prevents the palladium from precipitating as palladium black. (D) To act as a bulky ligand that occupies coordination sites on the palladium to prevent over-reaction.

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