pH Scale

Core Concept

Definition: The pH scale measures the concentration of hydrogen ions (H+H^+H+) or hydronium ions (H3O+H_3O^+H3​O+) in a solution.

  • Range: Typically ranges from 0 to 14, but values can be below 0 or above 14 in extreme cases.

    • Acidic Solutions: pH<7\text{pH} < 7pH<7

    • Neutral Solutions: pH=7\text{pH} = 7pH=7

    • Basic (Alkaline) Solutions: pH>7\text{pH} > 7pH>7

Practice Tips

  • Understand the Logarithmic Nature: A change of 1 pH unit corresponds to a tenfold change in H+H^+H+ concentration.

  • Memorize Key Values:

    • pH = 7 is neutral ONLY at 25C.

    • Acids have pH<7; bases have pH>7.

  • Practice with Units: Always express [H+] and [OH−] in molarity (M).

  • Check Your Math: Double-check logs and powers of 10 during calculations.

Podcast Episode

Episode

Faraday's Law — Quantitative Electrochemistry

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The pH Formula

$\text{pH} = -\log[H^+]$

  • [$H^+$]: The molar concentration of hydrogen ions in the solution.

Related Formulas

  1. pOH: $\text{pOH} = -\log[OH^-]$

  2. Relationship Between pH and pOH: $\text{pH} + \text{pOH} = 14 \,\, (\text{at } 25^\circ \text{C})$

  3. Hydrogen and Hydroxide Ion Product: $[H^+][OH^-] = K_w = 1.0 \times 10^{-14} \,\, (\text{at } 25^\circ \text{C})$

How to Interpret pH Values

  • Low pH (0−6): Indicates a high concentration of H^+ ions; the solution is acidic.

    • Example: Lemon juice (pH≈2).

  • Neutral pH (7): Indicates equal concentrations of H^+ and OH^− ions.

    • Example: Pure water (pH=7).

  • High pH (8−14): Indicates a high concentration of OH^− ions; the solution is basic.

    • Example: Soap solution (pH≈10).

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