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Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectric Field and Potential

Estimate the number of electrons contained in 100 g of water. What is the total negative charge of these electrons?

Options

  1. A6.02 10²⁵ and 9.63 10^6 C
  2. B3.76 10²⁵ and 6.02 10^6 C
  3. C3.35 10²⁴ and 5.35 10^5 C
  4. D3.35 10²⁵ and 5.35 10^6 C

Correct answer

D. 3.35 10²⁵ and 5.35 10^6 C

Step-by-step solution

Molecular mass of water ( H₂O ) is 18 g/mol . Number of moles in 100 g of water is 100 18 mol . Number of molecules in 100 g of water is 100 18 6.022 10²³ 3.345 10²⁴ . Each molecule of water ( H₂O ) contains 2 + 8 = 10 electrons. Total number of electrons is 10 3.345 10²⁴ = 3.345 10²⁵ 3.35 10²⁵ . The magnitude of charge on one electron is 1.6 10⁻¹⁹ C . Total negative charge is 3.345 10²⁵ 1.6 10⁻¹⁹ 5.35 10^6 C .

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