One coulomb is equal to

Options

A. ` 96500`
B. charge on ` 6.24 xx 10^(18)` electrons
C. charge on `1` electron
D. noner of the above

Explanation

To determine how many electrons correspond to a charge of one coulomb, we can follow these steps:

### Step 1: Understand the relationship between charge and electrons
We know that the charge of one mole of electrons (Avogadro's number) is equal to Faraday's constant, which is approximately 96500 coulombs.

### Step 2: Identify Avogadro's number
Avogadro's number is approximately \(6.022 \times 10^{23}\) electrons per mole.

### Step 3: Set up the proportion
From the above information, we can set up the following relationship:
- 1 mole of electrons (which is \(6.022 \times 10^{23}\) electrons) has a charge of approximately 96500 coulombs.

### Step 4: Calculate the charge of one electron
To find the charge of one electron, we can divide the total charge (96500 coulombs) by Avogadro's number:
\[ \text{Charge of one electron} = \frac{96500 \text{ C}}{6.022 \times 10^{23} \text{ electrons}} \]

### Step 5: Calculate the number of electrons in one coulomb
To find out how many electrons correspond to a charge of one coulomb, we can rearrange the relationship:
\[ \text{Number of electrons in 1 C} = \frac{6.022 \times 10^{23} \text{ electrons}}{96500 \text{ C}} \]

### Step 6: Perform the calculation
Now, we can perform the calculation:
\[ \text{Number of electrons in 1 C} \approx \frac{6.022 \times 10^{23}}{96500} \approx 6.24 \times 10^{18} \text{ electrons} \]

### Conclusion
Thus, one coulomb is equal to the charge of approximately \(6.24 \times 10^{18}\) electrons.

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