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Acids and BasesMCQ

Step 1: H2SeO3(aq) <-> HSeO3-(aq) + H+(aq) Ka1 = 2.1 x 10^-3 Step 2: HSeO3-(aq) <-> SeO3^2-(aq) + H+Acids and Bases Chemistry Question

Question

Step 1: H2SeO3(aq) <-> HSeO3-(aq) + H+(aq) Ka1 = 2.1 x 10^-3
Step 2: HSeO3-(aq) <-> SeO3^2-(aq) + H+(aq) Ka2 = 5.3 x 10^-9

The step-wise dissociation of selenous acid, H2SeO3(aq), is represented by the equations above. Which of the following best helps explain why the value of Ka2 is so much smaller than the value of Ka1?

A.

The Se atom in H2SeO3(aq) is in a higher oxidation state than the Se atom in HSeO3-(aq).

B.

Water is more attracted to HSeO3-(aq) ions than to SeO3^2- ions, which drives the step 2 equilibrium toward the reactant.

C.

The HSeO3-(aq) ions produced in step 1 are asymmetrical, but the SeO3^2- ions produced in step 2 are symmetrical.

D.

Removing the first H+ from H2SeO3(aq) requires less energy than removing the second H+, because the second H+ is removed from a negatively charged species.

✓ Correct

💡 Solution & Explanation

STEPS:

1. Understand what KaK_a values represent:
The acid dissociation constant (KaK_a) is a thermodynamic equilibrium constant that measures the strength of an acid in solution. A larger KaK_a indicates a stronger acid that dissociates more completely to release hydrogen ions (H+\text{H}^+), while a smaller KaK_a indicates a weaker acid that dissociates to a much lesser extent.

2. Compare the given stepwise dissociation reactions:
* Step 1: H2SeO3(aq)HSeO3(aq)+H+(aq)Ka1=2.1×103\text{H}_2\text{SeO}_3(aq) \rightleftharpoons \text{HSeO}_3^-(aq) + \text{H}^+(aq) \quad K_{a1} = 2.1 \times 10^{-3}
* Step 2: HSeO3(aq)SeO32(aq)+H+(aq)Ka2=5.3×109\text{HSeO}_3^-(aq) \rightleftharpoons \text{SeO}_3^{2-}(aq) + \text{H}^+(aq) \quad K_{a2} = 5.3 \times 10^{-9}
* The value of Ka2K_{a2} is roughly six orders of magnitude smaller than Ka1K_{a1} (5.3×1092.1×1035.3 \times 10^{-9} \ll 2.1 \times 10^{-3}), indicating that removing the second proton is vastly more difficult than removing the first.

3. Analyze the electrostatic charges of the starting reactants:
* In the first step, the positive proton (H+\text{H}^+) is being removed from a neutral molecule (H2SeO3\text{H}_2\text{SeO}_3).
* In the second step, the positive proton (H+\text{H}^+) is being removed from a negatively charged anion (HSeO3\text{HSeO}_3^-).

4. Apply electrostatic principles (Coulomb's Law):
According to Coulomb's law, there is a strong electrostatic attraction between opposite charges.
* It requires a certain amount of energy to break a polar covalent O–H\text{O–H} bond in a neutral molecule.
* However, it requires significantly more energy to pull a positively charged proton (H+\text{H}^+) away from a species that already carries a net negative charge (HSeO3\text{HSeO}_3^-) because of the strong electrostatic attraction between the +1+1 proton and the 1-1 anion.

5. Conclude:
Because removing the second proton requires a much higher input of energy, the second dissociation step is far less thermodynamically favorable, resulting in a much smaller equilibrium constant (Ka2K_{a2}). This directly identifies Option D as the correct explanation.

*

WHY_OTHERS_WRONG:

  • Option A is incorrect: The oxidation state of the selenium atom is identical (+4+4) in both H2SeO3\text{H}_2\text{SeO}_3 and HSeO3\text{HSeO}_3^-. Simple acid-base proton transfers are not redox reactions, so no changes in oxidation states occur.
  • Option B is incorrect: This claim is chemically inaccurate. Water molecules are highly polar and are actually *more* strongly attracted to the highly charged divalent SeO32\text{SeO}_3^{2-} ion (via strong ion-dipole forces) than to the singly charged monovalent HSeO3\text{HSeO}_3^- ion. If solvent interactions were the dominating factor here, they would stabilize the products of Step 2, driving the equilibrium forward rather than toward the reactants.
  • Option C is incorrect: While molecular geometry and symmetry can influence the entropy of a system, symmetry differences cannot account for a massive, million-fold difference in acid dissociation constants. The primary barrier to stepwise dissociation is always the electrostatic work required to separate charges.
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