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Acids, Bases and Buffers

pH and hydrogen ion concentration

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Overview

Recall questions on converting each way between pH and hydrogen ion concentration, and on why a logarithmic scale is used at all.

What you need to know

Answer each one before you reveal it.

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Numbers

How is pH calculated from hydrogen ion concentration, what is the pH when [H⁺] = 1 mol dm⁻³, and why is a logarithmic scale used?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the definition of pH in terms of hydrogen ion concentration.

    Model answer

    pH is the negative logarithm (base 10) of the hydrogen ion concentration.

  2. 2

    Explain how hydrogen ion concentration can be determined if the pH is known.

    Model answer

    The hydrogen ion concentration is calculated using the inverse logarithmic relationship: [H⁺] = 10⁻ᵖᴴ

  3. 3

    State the formula for calculating hydrogen ion concentration from pH.

    Model answer

    [H⁺] = 10⁻ᵖᴴ

  4. 4

    Write the formula used to calculate pH from hydrogen ion concentration.

    Model answer

    pH = −log[H⁺]

  5. 5

    Describe the mathematical operation required to convert a known hydrogen ion concentration into a pH value.

    Model answer

    Take the negative logarithm (base 10) of the hydrogen ion concentration.

  6. 6

    Calculate the pH when hydrogen ion concentration = 1 mol dm⁻³.

    Model answer

    pH = −log₁₀(1) = 0.

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