The number of electrons involved in the reaction when one faraday of electricity is passed through an electrolyte is

Options

A. `12xx10^(46)`
B. `8xx10^(6)`
C. 96500
D. `6xx10^(23)`

Answer

To determine the number of electrons involved in the reaction when one faraday of electricity is passed through an electrolyte, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Faraday's Constant**:
One faraday of electricity is defined as the charge of 1 mole of electrons, which is approximately 96,500 coulombs.

2. **Charge of a Single Electron**:
The charge of a single electron is approximately \(1.6 \times 10^{-19}\) coulombs.

3. **Calculating the Number of Electrons**:
To find the number of electrons that correspond to one faraday (96,500 coulombs), we can use the formula:
\[ \text{Number of electrons} = \frac{\text{Total charge (in coulombs)}}{\text{Charge of one electron (in coulombs)}} \]
Substituting the values:
\[ \text{Number of electrons} = \frac{96,500 \text{ C}}{1.6 \times 10^{-19} \text{ C/electron}} \]

4. **Performing the Calculation**:
Now, we perform the division:
\[ \text{Number of electrons} = \frac{96,500}{1.6 \times 10^{-19}} \approx 6.03 \times 10^{23} \]
This result can be approximated to \(6 \times 10^{23}\).

5. **Conclusion**:
Therefore, the number of electrons involved when one faraday of electricity is passed through an electrolyte is approximately \(6 \times 10^{23}\).

### Final Answer:
The number of electrons involved is \(6 \times 10^{23}\).

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