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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Thermal and Chemical Effects of Electric Current

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Thermal and Chemical Effects of Electric Current

Determine the charge required to pass through an electrolyte in...

Determine the charge required to pass through an electrolyte in order to liberate one atom of a monovalent material.

Options

  1. A3.2×10−19 C3.2 \times 10^{-19} \text{ C}
  2. B8.0×10−20 C8.0 \times 10^{-20} \text{ C}
  3. C1.6×10−19 C1.6 \times 10^{-19} \text{ C}
  4. D9.65×104 C9.65 \times 10^{4} \text{ C}

Correct answer

C. 1.6×10−19 C1.6 \times 10^{-19} \text{ C}

Step-by-step solution

For a monovalent material, the valency is 11, which means one electron is involved in the liberation of one atom at the electrode.

The charge required to liberate one atom is equal to the magnitude of the charge of one electron.

q=e=1.6×10−19 Cq = e = 1.6 \times 10^{-19} \text{ C}

Alternatively, using Faraday's laws of electrolysis, the charge required to liberate one mole (NAN_A atoms) of a monovalent substance is 1 F≈96500 C1 \text{ F} \approx 96500 \text{ C}.

The charge required for one atom is:

q=FNA=965006.022×1023≈1.6×10−19 Cq = \dfrac{F}{N_A} = \dfrac{96500}{6.022 \times 10^{23}} \approx 1.6 \times 10^{-19} \text{ C}
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