Acids, Bases, and the pH Scale Explained by Protons
Atlas stands at a laboratory bench surrounded by beakers of colorful liquids — lemon juice, baking soda solution, black coffee, and bleach — holding a pH meter in one hand and pointing at a large logarithmic number line drawn on a whiteboard behind him, explaining how a single proton jump connects everything on the scale.
- Explain what makes a substance an acid or a base using the Bronsted-Lowry definition of proton donation and acceptance.
- Identify conjugate acid-base pairs in a given proton-transfer reaction.
- Calculate the pH of a solution given its hydrogen ion concentration, and interpret what that pH value means.
- Compare the relative acidity or basicity of two solutions based on their pH values and the logarithmic nature of the scale.
Key terms
- Proton transfer
- The movement of an H+ ion from a donor species to an acceptor species during an acid-base reaction.
- Conjugate acid-base pair
- Two species differing by exactly one proton, such as CH3COOH and CH3COO-.
- Strong acid
- An acid like HCl that dissociates essentially completely in water, releasing all its protons.
- Weak acid
- An acid like acetic acid that only partially dissociates, reaching an equilibrium with its conjugate base.
Reading conjugate pairs
Every Bronsted-Lowry reaction produces conjugate acid-base pairs that differ by a single proton. In CH3COOH + H2O reversible CH3COO- + H3O+, acetic acid loses a proton to become acetate, so acetic acid and acetate form one pair. Water gains a proton to become hydronium, so water and hydronium form the second pair. The species you start with on the left and the species it becomes on the right are always linked: the conjugate base of an acid is what remains after the proton leaves, and the conjugate acid of a base is what forms after it gains a proton. Identifying pairs makes proton-transfer reactions far easier to track.
Strong versus weak and what pH reveals
Acid strength describes the degree of dissociation, not the concentration. A strong acid such as HCl ionizes completely, so a 0.10 mol/L solution gives [H+] near 0.10 mol/L and pH near 1. A weak acid such as acetic acid at the same 0.10 mol/L only partially ionizes, perhaps giving [H+] near 0.0013 mol/L and a pH near 2.9. Two solutions of identical molar concentration can therefore have very different pH values purely because one acid releases all its protons while the other releases only a fraction. Always ask whether the acid is strong or weak before assuming pH from concentration.
Worked examples
Calculate the pH of Mystery A, where [H+] = 1 x 10^-4 mol/L.
- Apply pH = -log10[H+].
- pH = -log10(1 x 10^-4).
- log10(10^-4) = -4, so pH = -(-4) = 4.
Answer: pH = 4, which is acidic.
Calculate the pH of Mystery B, where [H+] = 3.16 x 10^-8 mol/L.
- Apply pH = -log10[H+] = -log10(3.16 x 10^-8).
- Split the log: log10(3.16) + log10(10^-8) = 0.50 + (-8) = -7.50.
- Negate: pH = -(-7.50) = 7.50.
Answer: pH = 7.5, which is very slightly basic.
Activity
Drag each substance into its correct pH zone on the scale, then calculate the pH for the two mystery solutions given their hydrogen ion concentrations.
Practice
In the reaction HF + H2O reversible F- + H3O+, name both conjugate acid-base pairs and explain your choices.
Compute the pH of a solution with hydrogen-ion concentration 1 x 10^-11 mol/L and classify it as acidic or basic.
Common mistakes to avoid
- Strong and concentrated mean the same thingStrength is the degree of dissociation while concentration is amount per volume; a dilute strong acid still ionizes completely.
- A higher pH means a stronger acidA higher pH means fewer free H+ ions, so it indicates a less acidic, weaker or more dilute solution.
Check your understanding
In the reaction NH₃ + H₂O ⇌ NH₄⁺ + OH⁻, which species is acting as the Bronsted-Lowry acid?
A solution has a pH of 4. A second solution has a pH of 6. How much greater is the hydrogen ion concentration in the first solution compared to the second?
Hydrochloric acid (HCl) and acetic acid (CH₃COOH) are both dissolved in water at the same molar concentration. Which statement best explains why HCl has a lower pH?
Recap
Acids donate protons and bases accept them, generating conjugate pairs that differ by one H+. pH equals the negative log of hydrogen-ion concentration, so each unit is a tenfold change. Strong acids dissociate fully while weak acids dissociate partially, which is why equal concentrations can give very different pH values.
Reflect
Why might a chemist care whether an acid is strong or weak even before measuring its pH?