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  • Calculating pH of 0.0000001 M HCl Solution: A Step-by-Step Guide
    Here's how to determine the pH of a 0.0000001 M (1 x 10⁻⁷ M) solution of hydrochloric acid (HCl) in water:

    Understanding the Concepts

    * HCl is a strong acid: This means it completely ionizes in water, meaning every HCl molecule breaks apart into a hydrogen ion (H⁺) and a chloride ion (Cl⁻).

    * pH: A measure of the acidity or alkalinity of a solution. It is calculated using the formula: pH = -log[H⁺]

    * A low pH indicates a high concentration of H⁺ ions (acidic)

    * A high pH indicates a low concentration of H⁺ ions (alkaline/basic)

    Calculation

    1. Determine the [H⁺]: Since HCl is a strong acid, the concentration of H⁺ ions is equal to the initial concentration of HCl: [H⁺] = 1 x 10⁻⁷ M.

    2. Calculate the pH:

    pH = -log[H⁺]

    pH = -log(1 x 10⁻⁷)

    pH = 7

    Important Note: This calculation produces a pH of 7, which is neutral. However, pure water also has a pH of 7. In reality, the pH of a 1 x 10⁻⁷ M solution of HCl would be slightly less than 7 due to the very small contribution of H⁺ ions from the autoionization of water.

    Therefore, the pH of a 0.0000001 M solution of hydrogen chloride in water is essentially neutral, but slightly acidic.

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