Calculate the number of electrons constituting one coulomb of charge

Chemistry
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calculate the number of electrons constituting one coulomb of charge

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Calculate the number of electrons constituting one coulomb of charge

Answer:

To calculate the number of electrons constituting one coulomb of charge, we need to understand a few fundamental concepts in physics, specifically the charge of an electron and the relationship between charge and quantity of electrons.

  1. Charge of an Electron:

    • The elementary charge, which is the charge of a single electron, is approximately e = 1.602 \times 10^{-19} coulombs.

  2. One Coulomb of Charge:

    • One coulomb (C) of charge is a large quantity of charge equivalent to the charge transported by a constant current of one ampere in one second.

To find the number of electrons, we use the following relationship:

\text{Number of electrons} = \frac{\text{Total charge}}{\text{Charge of one electron}}

Given:

  • Total charge ( Q = 1 ) coulomb
  • Charge of one electron ( e = 1.602 \times 10^{-19} ) coulombs

Plugging in these values into the equation:

\text{Number of electrons} = \frac{1 \text{ C}}{1.602 \times 10^{-19} \text{ C/electron}}
  1. Calculation:

    • Perform the division to find the number of electrons.

      \text{Number of electrons} = \frac{1}{1.602 \times 10^{-19}} = 6.242 \times 10^{18} \text{ electrons}

Final Answer:
Therefore, one coulomb of charge is constituted by approximately 6.242 \times 10^{18} electrons.