A strong lightning bolt transfers an electric charge of about 16 C to Earth (or vice versa). How many electrons are transferred? Avogadro’s number is 6.022 × 1023 /mol, and the elemental charge is 1.602 × 10−19 C.

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Answer:

Number of electrons, [tex]n=9.98\times 10^{19}[/tex]

Explanation:

A strong lightning bolt transfers an electric charge of about 16 C to Earth, q = 16 C

We need to find the number of electrons that transferred. Let there are n electrons transferred. It is given by using quantization of electric charge as :

q = ne

[tex]n=\dfrac{q}{e}[/tex]

e is elemental charge

[tex]n=\dfrac{16}{1.602\times 10^{-19}}[/tex]

[tex]n=9.98\times 10^{19}[/tex]

So, there are [tex]9.98\times 10^{19}[/tex] electrons that gets transferred. Hence, this is the required solution.

A strong lightning bolt that transfers an electric charge of about 16 C to Earth, transfers 1.0 × 10²⁰ electrons (1.7 × 10⁻⁴ moles of electrons).

A strong lightning bolt transfers an electric charge of about 16 C to Earth (or vice versa).

What is the electric charge?

Electric charge is the physical property of matter that causes it to experience a force when placed in an electromagnetic field.

We want to calculate the number of electrons that have a charge of 16 C. We have to consider the following relationships:

  • The charge of 1 electron is 1.602 × 10⁻¹⁹ C.
  • There are 6.022 × 10²³ electrons in 1 mole (Avogadro's number).

16 C × 1 electron/1.602 × 10⁻¹⁹ C = 1.0 × 10²⁰ electron

1.0 × 10²⁰ electron × 1 mol/6.022 × 10²³ electron = 1.7 × 10⁻⁴ mol

A strong lightning bolt that transfers an electric charge of about 16 C to Earth, transfers 1.0 × 10²⁰ electrons (1.7 × 10⁻⁴ moles of electrons).

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