How many electrons will form 2 Coulomb of Charge?

Options

A. `1.7 xx 10^(-10 )`
B. `3.187 xx 10^(-20)`
C. `12.5 xx 10^(+18)`
D. `16.7 xx 10^(-10)`

Explanation

To find out how many electrons will form a charge of 2 Coulombs, we can follow these steps:

### Step 1: Understand the relationship between charge and electrons
The charge (Q) is quantized, meaning it is an integral multiple of the elementary charge (the charge of a single electron). The formula relating the total charge to the number of electrons (n) is given by:
\[ Q = n \times e \]
where:
- \( Q \) is the total charge,
- \( n \) is the number of electrons,
- \( e \) is the charge of a single electron.

### Step 2: Identify the charge of a single electron
The charge of a single electron is approximately:
\[ e = 1.6 \times 10^{-19} \text{ Coulombs} \]

### Step 3: Rearrange the formula to find the number of electrons
To find the number of electrons, we can rearrange the formula:
\[ n = \frac{Q}{e} \]

### Step 4: Substitute the values into the formula
Now we can substitute the given total charge (2 Coulombs) and the charge of a single electron into the formula:
\[ n = \frac{2 \text{ Coulombs}}{1.6 \times 10^{-19} \text{ Coulombs}} \]

### Step 5: Perform the calculation
Now we calculate:
\[ n = \frac{2}{1.6 \times 10^{-19}} \]
\[ n = 1.25 \times 10^{19} \]

### Step 6: Express the answer in scientific notation
We can express \( 1.25 \times 10^{19} \) in a different form:
\[ n = 12.5 \times 10^{18} \]

### Final Answer
Thus, the number of electrons that will form a charge of 2 Coulombs is:
\[ n = 12.5 \times 10^{18} \]