
If the value of $1\,F$ is $120460\,C$, what will be the charge of one electron?
Answer
476.7k+ views
Hint: In order to answer this question, we will first explain Faraday's value in coulombs. And then we will write the formula of Faraday to coulombs to find the charge of an electron. Then we will also explain Faraday's law.
Complete step by step answer:
The faraday is an electric charge unit, not an electron count. The Faraday constant is the proportion of charge in coulombs to the amount of singly charged substance in moles. It is thus Avogadro's number multiplied by the charge on the electron.
The value of $1\,F$ $ = \text{mole} \times \text{charge on electron} = 120460\,C$
$\text{mole} \times \text{charge on electron} = 120460C \\
\Rightarrow 6.022 \times {10^{23}} \times \text{charge} = 120460 \\
\Rightarrow \text{charge} = \dfrac{{120460}}{{6.022}} \times {10^{ - 23}} \\
\therefore \text{charge} = 2.000332 \times {10^{ - 19}} \\ $
Hence, the required charge of one electron is $2.000332 \times {10^{ - 19}}$.
Additional-Information: Faraday's law of electromagnetic induction, sometimes known as Faraday's law, is a fundamental law of electromagnetism that explains how a magnetic field interacts with an electric circuit to generate an electromotive force (EMF).Electromagnetic induction is the term for this phenomenon.
Note: The electron has a charge of -1, which is the polar opposite of the proton's charge of +1. The number of electrons in a negatively charged particle is more than the number of protons in an element. Positively charged particles, on the other hand, have a greater number of protons than electrons in the element.
Complete step by step answer:
The faraday is an electric charge unit, not an electron count. The Faraday constant is the proportion of charge in coulombs to the amount of singly charged substance in moles. It is thus Avogadro's number multiplied by the charge on the electron.
The value of $1\,F$ $ = \text{mole} \times \text{charge on electron} = 120460\,C$
$\text{mole} \times \text{charge on electron} = 120460C \\
\Rightarrow 6.022 \times {10^{23}} \times \text{charge} = 120460 \\
\Rightarrow \text{charge} = \dfrac{{120460}}{{6.022}} \times {10^{ - 23}} \\
\therefore \text{charge} = 2.000332 \times {10^{ - 19}} \\ $
Hence, the required charge of one electron is $2.000332 \times {10^{ - 19}}$.
Additional-Information: Faraday's law of electromagnetic induction, sometimes known as Faraday's law, is a fundamental law of electromagnetism that explains how a magnetic field interacts with an electric circuit to generate an electromotive force (EMF).Electromagnetic induction is the term for this phenomenon.
Note: The electron has a charge of -1, which is the polar opposite of the proton's charge of +1. The number of electrons in a negatively charged particle is more than the number of protons in an element. Positively charged particles, on the other hand, have a greater number of protons than electrons in the element.
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