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    recaplica pH Scale: What It Is and How to Read Acids and Bases
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    pH Scale: What It Is and How to Read Acids and Bases

    By Recaplica Newsroom · Updated on October 23, 2026

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    The pH tells you how acidic or basic a water solution is. It equals minus the base-10 logarithm of the hydrogen ion concentration, and on the usual scale 7 is the neutral value. Each step down of one pH unit means ten times more hydrogen ions. A pH meter measures it, and litmus paper gives a rough reading.

    Key Points

    • The pH comes from the hydrogen ions in water: pH = -log10 [H+], with [H+] in mol/L.
    • On the scale, which usually runs from 0 to 14, 7 is neutral, a solution below 7 is acidic and one above 7 is basic.
    • The scale is logarithmic, so the H+ concentration changes by a factor of 10 between one whole number and the next.
    • In Arrhenius's definition an acid releases H+ in water and a base releases OH-. In the Brønsted-Lowry definition an acid donates protons and a base accepts them.
    • Strong acids ionize almost completely in water, and weak acids ionize only in part.
    • A pH meter reads the pH of a solution, and litmus paper gives a rough estimate at school or at home.

    Deep Dive

    In 1909 the Danish biochemist Søren Sørensen saw that the ion concentrations in a solution could be expressed on a base-10 logarithmic scale. The pH that came out of it is a number with no unit of measure.

    What is pH? The definition

    The pH expresses the concentration of hydrogen ions in a water solution. According to the EPA it is the negative logarithm of the hydrogen ion concentration, measured in mol/L; the logarithm is base 10. It makes sense only for solutions in water: the USGS notes that vegetable oil and alcohol have no pH.

    According to the EPA, what is actually measured is the activity of hydrogen ions, not the concentration: the formula with concentration is the simplified version.

    The pH formula

    The formula fits on one line:

    pH = -log10 [H+]

    Square brackets stand for concentration in mol/L. You can also run it backward: from the pH, the concentration is [H+] = 10^(-pH). In water the H+ ion does not stay free. It attaches to a water molecule and forms the hydronium ion, H3O+, which is why many textbooks write [H3O+] in place of [H+].

    The pH scale range and how to read it

    The pH describes acidity or basicity on a scale that usually runs from 0 to 14. The value 7 is neutral, and at 25 °C it is the pH of pure water, because at that temperature the product [H+][OH-] of water equals 1.00 × 10^-14. The more H+ ions there are, the further the pH drops below 7 and the more acidic the solution is. Above 7 it is basic.

    Saying the scale runs from 1 to 14 is inaccurate, since it starts at 0. And 0 to 14 is the usual range only: a pH can fall outside it.

    Why each number counts ten times more

    The scale uses a logarithm, so numbers that sit close together describe quantities that are far apart. One pH unit up or down changes the H+ concentration by a factor of 10. A solution at pH 1 has ten times the H+ ions of one at pH 2, and the pH 2 solution has ten times more than one at pH 3. According to the USGS, water at pH 5 is ten times more acidic than water at pH 6.

    Practical example: water draining from an abandoned coal mine can have a pH of 2. Compared with neutral water the gap is five units, and five steps of 10 make 100,000, so that water is 100,000 times more acidic.

    Acid pH level and pH chart: typical values

    The chart below gives the typical values printed in David Ball’s chemistry textbook. The book warns that real values vary with conditions.

    SubstanceTypical pHClassified as
    Gastric juice1.7acidic
    Lemon juice2.2acidic
    Vinegar2.9acidic
    Soda (soft drink)3.0acidic
    Wine3.5acidic
    Black coffee5.0acidic
    Milk6.9barely acidic
    Pure water7.0neutral
    Blood7.4basic
    Milk of magnesia10.5basic
    Ammonia solution12.5basic
    Sodium hydroxide (NaOH) 1.0 M14.0basic

    In the table, most of the foods are acidic. Gastric juice, at pH 1.7, is the most acidic of the group; digestion in the stomach has a Recap of its own.

    According to the USGS, normal rain has a pH of about 5.6, slightly acidic because of atmospheric carbon dioxide. For the rest of the water’s journey there is the Recap on the water cycle.

    Acid base examples and definitions

    The Swedish chemist Svante Arrhenius proposed the two classes of compounds in the 1880s. In his view an acid, dissolved in water, raises the concentration of H+ ions, and a base produces OH- ions. The theory has a limit: ammonia (NH3) releases hydroxide ions in water although it contains none, and Arrhenius cannot explain that. In 1923 the Dane Johannes Brønsted and the Englishman Thomas Lowry, working independently, gave a wider definition of acids and bases. An acid is a compound that donates a proton, H+, in a reaction, and a base is a compound that accepts it. Every Arrhenius acid and base also qualifies under Brønsted-Lowry, though the reverse does not hold.

    Strong and weak acids and bases

    Strong acids ionize almost completely in water. Common ones include HCl, HNO3, H2SO4, HBr, HI and HClO4. All the others are weak acids and ionize only partly. Acetic acid is a weak acid and ammonia a weak base: in water they dissociate only a little, typically a few percent according to LibreTexts, depending on concentration. Strong bases include the hydroxides of the alkali metals, such as NaOH and KOH.

    How pH is measured

    A pH meter uses two electrodes. One sits in a liquid of fixed pH and the other responds to the acidity of the sample, and the voltage difference between them is converted into a pH. Before measuring, the instrument is calibrated with a solution of known pH. At school or at home, litmus paper gives a rough estimate.

    A worked calculation

    Take a solution with [H3O+] = 1.00 × 10^-7 mol/L. The base-10 logarithm of 10^-7 is -7, and changing the sign gives pH 7.00, the value of a neutral solution. With 1.00 × 10^-8 mol/L the pH is 8.00, so that solution is basic. The first holds ten times more hydronium ions than the second.

    Practical example: Ball’s textbook asks the reader to classify three samples from their pH. Human blood, at 7.4, is basic, household ammonia at 11.0 is basic, and cherries at 3.6 are acidic. An exercise in the Heartland chemistry course asks whether pH 1.42 is acidic or basic: it is below 7, so acidic.

    The Heartland course writes pH with two decimal places.

    Slide deck

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    Slide 1 of the presentation on pH Scale: pH scaleSlide 2 of the presentation on pH Scale: How much more acidic is pH 2 water than neutral water?Slide 3 of the presentation on pH Scale: From the scale to the calculation of pHSlide 4 of the presentation on pH Scale: Chapter 01: Reading the pH scaleSlide 5 of the presentation on pH Scale: pH = -log10 [H+], and it applies only to water solutions: oil has no pHSlide 6 of the presentation on pH Scale: Below 7 · At 7 · Above 7Slide 7 of the presentation on pH Scale: Chapter 02: What makes an acid or a baseSlide 8 of the presentation on pH Scale: How Arrhenius and Brønsted-Lowry define themSlide 9 of the presentation on pH Scale: From the 1880s to 1923Slide 10 of the presentation on pH Scale: How far an acid ionizes in waterSlide 11 of the presentation on pH Scale: Chapter 03: Instruments for measuringSlide 12 of the presentation on pH Scale: pH meter and litmus paperSlide 13 of the presentation on pH Scale: Chapter 04: A calculation with logarithmsSlide 14 of the presentation on pH Scale: From hydronium concentration to pHSlide 15 of the presentation on pH Scale: The pH scale starts at 0.Slide 16 of the presentation on pH Scale: A solution has [H3O+] = 1.00 × 10^-8 mol/L. What is its pH?Slide 17 of the presentation on pH Scale: 7 is neutral, each unit is a factor of 10
    Flash10 slidesThe essential thread, to present in classFull17 slidesEvery chapter and the deeper detail

    Common myths

    • ✗ Myth The pH scale runs from 1 to 14.

      ✓ Reality It starts at 0, as LibreTexts states in its Overview of Acids and Bases. According to David Ball's chemistry textbook, pH usually falls between 0 and 14 but not always.

    • ✗ Myth Pure water always has a pH of 7.

      ✓ Reality The neutral 7 is tied to 25 °C, the temperature at which the product [H+][OH-] of water equals 1.00 × 10^-14. At that temperature pure water sits at 7.

    • ✗ Myth Alkalinity and basicity are two names for one thing.

      ✓ Reality According to the EPA, basicity concerns the ratio between hydrogen ions and hydroxide ions and is directly linked to pH. Alkalinity, in the sense used for aquatic environments, is the capacity of a solution to neutralize acids.

    Mind map

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    Customize
    Mind map: pH Scale: What It Is and How to Read Acids and Bases
    • pH scale
      • Definition
        • Minus log of [H+] Concentration in mol/L, base-10 logarithm
        • Activity of hydrogen ions The quantity actually measured
      • The scale
        • 0 to 14, usually
        • 7 neutral at 25 °C
        • One unit is a factor of 10
      • Acids and bases
        • Arrhenius Acid releases H+, base releases OH-
        • Brønsted-Lowry Acid donates protons, base accepts them
        • Strong and weak Almost total or partial ionization
      • Measurement
        • pH meter Two electrodes and calibration
        • Litmus paper Rough estimate
      • Calculation
        • From concentration to pH
        • From pH to concentration 10 to the minus pH

    Quiz: test yourself

    Answer the questions to check what you have learned: you get instant feedback and a short explanation.

    Grade 0/10 0/5
    1 What does the pH of a solution measure?

    The pH is minus the base-10 logarithm of the hydrogen ion concentration in mol/L. The more H+ ions there are, the lower the number.

    2 One water sample has pH 5 and another has pH 6. Which has more hydrogen ions, and by how much?

    One pH unit is a factor of 10 in H+ concentration, and the lower number belongs to the more acidic solution. The USGS describes pH 5 water as ten times more acidic than pH 6 water.

    3 A solution has [H3O+] = 1.00 × 10^-8 mol/L. What is its pH and how is it classified?

    Take the logarithm of 10^-8, which is -8, and change the sign: the pH is 8.00. Anything above 7.00 is basic.

    4 How do the Arrhenius and Brønsted-Lowry definitions relate?

    Every Arrhenius acid and base also falls under the Brønsted-Lowry definition, while the reverse does not hold. The Brønsted-Lowry definition is the wider one: the acid donates a proton and the base accepts it.

    5 True or false. The pH of vegetable oil can be read with a pH meter and is about 7.

    The USGS points out that pH applies only to water solutions, so vegetable oil and alcohol have no pH at all.

    Answers: 1-B · 2-B · 3-A · 4-A · 5-B

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    Explain it in your own words

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    The pH tells you how acidic or basic a water solution is. It equals minus the base-10 logarithm of the hydrogen ion concentration, and on the usual scale 7 is the neutral value. Each step down of one pH unit means ten times more hydrogen ions. A pH meter measures it, and litmus paper gives a rough reading.

    Frequently asked questions

    How do you calculate pH?

    Take the hydrogen ion concentration in mol/L, find its base-10 logarithm and change the sign. A concentration of 1.00 × 10^-7 mol/L gives pH 7.00. To go the other way, the concentration is 10 raised to minus the pH.

    What is the pH scale range?

    The scale is usually drawn from 0 to 14, with 7 in the middle as the neutral value. Ball's textbook says that range holds usually, and that a pH can fall outside it.

    What are some acid and base examples, and what is the pH level of an acid?

    Any acidic solution has a pH below 7. In Ball's table of typical values, gastric juice (1.7), lemon juice (2.2), vinegar (2.9), wine (3.5) and black coffee (5.0) are acidic, while milk of magnesia (10.5) and an ammonia solution (12.5) are basic. Pure water at 25 °C is neutral at 7.0. Real values change with conditions.

    What is the difference between pH and alkalinity?

    The pH measures the concentration of hydrogen ions. Alkalinity, for aquatic environments, is about how much acid a solution can neutralize.

    What pH does rain have?

    Normal rain has a pH of about 5.6, according to the USGS. It is slightly acidic because of the carbon dioxide in the atmosphere.

    Sources

    • pH, CADDIS (Causal Analysis/Diagnosis Decision Information System), US Environmental Protection Agency
    • pH and Water, U.S. Geological Survey, Water Science School
    • The pH Scale (ch. 12.7), Beginning Chemistry, David W. Ball, Chemistry LibreTexts
    • Overview of Acids and Bases, Chemistry LibreTexts
    • pH (ch. 8.28), CHEM 120 Fundamentals of Chemistry, Heartland Community College, Chemistry LibreTexts
    • Brønsted-Lowry Definition of Acids and Bases (ch. 10.2), The Basics of General, Organic, and Biological Chemistry, Chemistry LibreTexts

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