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pH: one step means a factor of ten

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For a simple dilute-solution model, pH = −log₁₀[H₃O⁺]. A fall of 1 means ten times the H₃O⁺ concentration. At 25 °C a neutral aqueous solution is approximately pH 7.

pH: one step means a factor of ten
ObservationWhat it means
pH 3[H₃O⁺] ≈ 10⁻³ mol/L
pH 4[H₃O⁺] ≈ 10⁻⁴ mol/L

One worked example

  1. 4 − 3 = 1There is one pH step.
  2. 10¹ = 10The difference is a factor, not addition.
  3. pH 3 versus pH 4The first has about 10× more H₃O⁺.

Watch out: Precisely, pH uses activity. Neutral pH depends on temperature; values can lie outside 0–14.

Goal, prerequisites and card origin

What you will learn: Compare acidity on a logarithmic scale.

What you need first: Powers of ten.

An original PEAZIT working card. Independent expert review and effectiveness testing have not yet taken place. · v1

Reference for the underlying principle ↗
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For a simple dilute-solution model, pH = −log₁₀[H₃O⁺]. A fall of 1 means ten times the H₃O⁺ concentration. At 25 °C a neutral aqueous solution is approximately pH 7.

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Physics Paper 2

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Topic assigned automatically · Record updated: 2026-10-06

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