One coulorb is the charge of

Options

A. 1 mole of electrons
B. `1/(96500)` mole of electrons
C. 96500 moles of electrons
D. none of these

Answer

To solve the question "One coulomb is the charge of...", we need to understand the relationship between coulombs and the charge of electrons.

### Step-by-Step Solution:

1. **Understanding Coulombs and Faraday's Constant**:
- The charge of one mole of electrons is defined as Faraday's constant, which is approximately 96500 coulombs. This means that 1 mole of electrons carries a charge of 96500 coulombs.

2. **Calculating Charge of One Electron**:
- To find the charge of a single electron, we can divide Faraday's constant by Avogadro's number (approximately \(6.022 \times 10^{23}\) mol\(^{-1}\)).
- Charge of one electron \( = \frac{96500 \text{ C}}{6.022 \times 10^{23} \text{ mol}^{-1}} \approx 1.6 \times 10^{-19} \text{ C}\).

3. **Finding Charge in Coulombs**:
- Since we want to find out how many moles of electrons correspond to one coulomb, we can use the relationship derived from the charge of one electron.
- The number of electrons in one coulomb can be calculated as:
\[ \text{Number of electrons} = \frac{1 \text{ C}}{1.6 \times 10^{-19} \text{ C/electron}} \approx 6.25 \times 10^{18} \text{ electrons} \]

4. **Converting Electrons to Moles**:
- To convert the number of electrons to moles, we divide by Avogadro's number:
\[ \text{Moles of electrons} = \frac{6.25 \times 10^{18} \text{ electrons}}{6.022 \times 10^{23} \text{ electrons/mol}} \approx 1.04 \times 10^{-5} \text{ mol} \]

5. **Conclusion**:
- Therefore, one coulomb is equivalent to approximately \(1.04 \times 10^{-5}\) moles of electrons.

### Final Answer:
One coulomb is the charge of approximately \(1.04 \times 10^{-5}\) moles of electrons.