Question 3 of 31intermediate🔧 ApplyNumerical3 marks

Calculate the number of electrons constituting one coulomb of charge.

Correct Answer

Given: Charge of one electron = 1.6×101.6 \times 10⁻¹⁹ C Total charge = 1 C

Formula: Number of electrons = Total charge ÷ Charge of one electron

Calculation: Number of electrons = 1 C ÷ (1.6×101.6 \times 10⁻¹⁹ C) = 1 / (1.6×101.6 \times 10⁻¹⁹) = 10¹⁹ / 1.6 = 6.25×106.25 \times 10¹⁸ ≈\approx 6×106 \times 10¹⁸ electrons

Answer: One coulomb of charge is constituted by approximately 6×106 \times 10¹⁸ electrons.

Exercise: QUESTIONS | Q: 3 | (Page Page 2)
For More Understanding

Explanation

The textbook context provides two key pieces of information: (1) an electron possesses a negative charge of 1.6×101.6 \times 10⁻¹⁹ C, and (2) one coulomb is equivalent to the charge contained in nearly 6×106 \times 10¹⁸ electrons. The calculation divides the total charge (1 C) by the charge of a single electron to find the number of electrons required to make one coulomb.

Solution Steps

  1. Step 1: Identify the charge of one electron from context = 1.6×101.6 \times 10⁻¹⁹ C

  2. Step 2: Apply the formula: Number of electrons = Total charge ÷ Charge per electron

  3. Step 3: Substitute values: 1 ÷ (1.6×101.6 \times 10⁻¹⁹) = 6.25×106.25 \times 10¹⁸

  4. Step 4: Round to approximately 6×106 \times 10¹⁸ electrons

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