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If 'F' is Faraday and 'N' is Avogadro nu...

If 'F' is Faraday and 'N' is Avogadro number, then charge of electron can be expressed as -

A

`FxxN`

B

`(F)/(N)`

C

`(N)/(F)`

D

`F^(2)N`

Text Solution

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The correct Answer is:
To find the charge of an electron in terms of Faraday's constant (F) and Avogadro's number (N), we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Constants**: - Faraday's constant (F) is the amount of electric charge per mole of electrons. Its approximate value is 96485 C/mol. - Avogadro's number (N) is the number of particles (atoms, molecules, etc.) in one mole, which is approximately \(6.022 \times 10^{23}\) mol\(^{-1}\). 2. **Relationship Between Constants**: - The relationship between Faraday's constant, Avogadro's number, and the charge of an electron (e) can be expressed as: \[ F = N \times e \] - Here, \(e\) is the charge of a single electron. 3. **Rearranging the Equation**: - To find the charge of an electron, we can rearrange the equation: \[ e = \frac{F}{N} \] 4. **Substituting Known Values**: - We know that: - \(F \approx 96485 \, \text{C/mol}\) - \(N \approx 6.022 \times 10^{23} \, \text{mol}^{-1}\) - Substituting these values into the equation gives: \[ e = \frac{96485 \, \text{C/mol}}{6.022 \times 10^{23} \, \text{mol}^{-1}} \] 5. **Calculating the Charge of an Electron**: - Performing the calculation: \[ e \approx 1.602 \times 10^{-19} \, \text{C} \] ### Final Answer: The charge of an electron can be expressed as: \[ e = \frac{F}{N} \]

To find the charge of an electron in terms of Faraday's constant (F) and Avogadro's number (N), we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Constants**: - Faraday's constant (F) is the amount of electric charge per mole of electrons. Its approximate value is 96485 C/mol. - Avogadro's number (N) is the number of particles (atoms, molecules, etc.) in one mole, which is approximately \(6.022 \times 10^{23}\) mol\(^{-1}\). ...
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Knowledge Check

  • If f(x)=sqrt(x^(2)) , then f(x) can also be expressed as

    A
    x
    B
    `-x`
    C
    `+-x`
    D
    `|x|`
  • The number of electrons present in -1 C of charge is

    A
    `6.25xx10^(18)`
    B
    `1.6xx10^(19)`
    C
    `6xx10^(19)`
    D
    `1.6xx10^(18)`
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