Quantitative Electrochemistry

Related Examples and Practice Problems

Additional Worked Out Examples/ Practice

  • Identifying classification types: Differentiation between elements, compounds or mixtures and homogeneous and heterogenous mixtures

  • Separation techniques: Selected and explaining limitation of appropriate separation

  • Relating Properties to Composition: Predicting classification based on descriptive properties

Topic Summary & Highlights
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Core Concept

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Practice Tips

  • Quantitative electrochemistry relates current, time, and chemical quantities.

  • Use Faraday’s laws to calculate the mass of products or the charge required.

  • Apply the ideal gas law to determine the volume of gases produced.

  • Mastering these concepts is essential for applications in electroplating, energy storage, and industrial processes.

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Core Concept

Electric Charge (Q)

  • Definition: The total electric charge transferred during an electrochemical reaction.

  • Formula: Q = I ⋅ t where:

    • Q: Charge (Coulombs (C)).

    • I: Current (Amperes (A)).

    • t: Time (seconds (s)).

Faraday's Constant (F)

  • Represents the charge of one mole of electrons: F=96,485 C/mol

Moles of Electrons (n)

  • The amount of charge relates to the moles of electrons transferred: $n_{\text{e}^-} = \frac{Q}{F}$

Faraday’s Laws of Electrolysis

First Law:

  • The mass (m) of a substance deposited or liberated at an electrode is proportional to the charge passed through the electrolyte. m=Z⋅Q Where:

    • Z: Electrochemical equivalent (g/C).

    • Q=I⋅t.

Second Law:

  • For the same amount of charge, the mass of different substances produced is proportional to their molar masses (M) divided by the number of electrons (n) transferred. $m \propto \frac{M}{n}$

Quantitative Relationships

  1. Mass of Product: m = $\frac{M \cdot Q}{n \cdot F}$

    Where:

    • m: Mass of the product (g).

    • M: Molar mass (g/mol).

    • n: Number of electrons in the half-reaction.

  2. Volume of Gas:

    • For gases produced at electrodes, use the ideal gas law: V = $\frac{nRT}{P}​$ Where:

      • V: Volume (L).

      • R: Ideal gas constant (0.0821 L·atm/mol·K).

      • T: Temperature (K).

      • P: Pressure (atm).

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