Gen Chem 2Acids and Bases

Molecular Structure and Acid Strength

Bond strength, bond polarity and resonance in the conjugate base explain which acids are stronger.

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Why is HCl strong and HF weak? Why is $\mathrm{HClO_4}$ strong and HClO weak? The answers come from the bond to the acidic hydrogen and from how well the conjugate base holds its negative charge. You will use electronegativity, bond strength and resonance, and compare acids by Ka.

Key idea

An acid is stronger when the H–A bond is weaker (easier to break) and more polar, and when the anion left behind spreads or stabilizes its negative charge. Down a group, bond strength wins: $\mathrm{HF \ll HCl < HBr < HI}$. Across a period, polarity wins: $\mathrm{CH_4 < NH_3 < H_2O < HF}$. For oxyacids, more O atoms and a more electronegative central atom make a stronger acid.

Why it works

Binary acids: going down Group 17 the halogen grows, the H–X bond gets longer and much weaker (H–F 565, H–Cl 431, H–Br 366, H–I 299 kJ/mol), and the proton leaves more easily. Across a period the atoms are similar in size, so the deciding factor is electronegativity: a more electronegative atom polarizes the bond and holds the negative charge better. Oxyacids all lose a proton from an O–H group. Extra O atoms on the central atom pull electron density away from that O–H bond, and in the anion they share the negative charge by resonance, which steadies it.
Acetate's two resonance forms: the negative charge is shared by both O atoms. Ethoxide, from ethanol, has no such sharing, which is why acetic acid is about $10^{11}$ times stronger than ethanol.

Worked examples

Worked example: The chlorine oxyacids

Rank HClO, $\mathrm{HClO_2}$, $\mathrm{HClO_3}$ and $\mathrm{HClO_4}$ by strength, and explain.
  1. They differ only in the number of O atoms on Cl: 0, 1, 2 and 3 besides the OH.
  2. Each extra O pulls electron density from the O–H bond and gives the anion one more atom to share the charge. Measured: HClO $K_a = 2.9 \times 10^{-8}$, $\mathrm{HClO_2}$ $1.1 \times 10^{-2}$, and $\mathrm{HClO_3}$ and $\mathrm{HClO_4}$ are strong.

Answer: $\mathrm{HClO < HClO_2 < HClO_3 < HClO_4}$.

Worked example: Same shape, different halogen

Which is the stronger acid, HOCl or HOI?
  1. Both have one O–H with the halogen on the O. Chlorine is more electronegative than iodine.
  2. Cl pulls more electron density through the O, weakening the O–H bond and steadying $\mathrm{ClO^-}$. HOCl: $K_a = 2.9 \times 10^{-8}$; HOI: $2.3 \times 10^{-11}$.

Answer: HOCl.

Worked example: Chlorine atoms on acetic acid

$\mathrm{CH_3COOH}$ has $K_a = 1.8 \times 10^{-5}$ and $\mathrm{ClCH_2COOH}$ has $K_a = 1.4 \times 10^{-3}$. Explain the difference.
  1. The Cl atom, though not on the O–H, pulls electron density through the bonds (an inductive effect).
  2. That helps spread the negative charge of the anion, so the acid gives up its proton more readily: about 80 times stronger.

Answer: The electronegative Cl stabilizes the conjugate base.

Common mistake

Saying HF is the strongest hydrohalic acid because F is the most electronegative. Electronegativity decides across a period; down a group the bond strength dominates, and the H–F bond is by far the strongest. Check: HF has $K_a = 6.8 \times 10^{-4}$, a weak acid, while HCl, HBr and HI are all strong.

Practice

Pass with 3 right answers, the last 2 in a row. Each right answer earns 2 XP.

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Sources and further reading

  • OpenStax Chemistry 2e, Section 14.3 Relative Strengths of Acids and Bases
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