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An electrolysis cell consumed a charge of 4.00 C in 5.00 minutes - VCE - SSCE Chemistry - Question 9 - 2021 - Paper 1

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An electrolysis cell consumed a charge of 4.00 C in 5.00 minutes. This represents a consumption of A. 4.15 × 10⁻³ mol of electrons. B. 2.07 × 10⁴ mol of electrons. ... show full transcript

Worked Solution & Example Answer:An electrolysis cell consumed a charge of 4.00 C in 5.00 minutes - VCE - SSCE Chemistry - Question 9 - 2021 - Paper 1

Step 1

Calculate the number of moles of electrons consumed

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Answer

To find the number of moles of electrons consumed, we can use the relation between charge, moles of electrons, and Faraday's constant:

  1. Faraday's Constant (F): Approximately 96485 C/mol, which indicates the amount of charge required to transfer one mole of electrons.

  2. Formula to Calculate Moles (n):

    n=QFn = \frac{Q}{F} where:

    • QQ is the total charge (in coulombs)
    • nn is the number of moles of electrons.
  3. Substituting the Known Values:

    • Given charge Q=4.00CQ = 4.00 \, \text{C},
    • We can calculate:

    n=4.00964854.15×105 moln = \frac{4.00}{96485} \approx 4.15 \times 10^{-5} \text{ mol}

  4. Conversion to the correct significant figures: The charge is in 4.00, which has three significant figures. Thus, we ensure the final answer also reflects this:

    n4.15×105 moln \approx 4.15 \times 10^{-5} \text{ mol}

Thus, the number of moles of electrons consumed is approximately 4.15 × 10⁻⁵ mol.

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