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How many electrons are there in one coul...

How many electrons are there in one coulomb of electricity?

A

`6.023xx10^(23)`

B

`1.64xx10^(-24)`

C

`6.24xx10^(18)`

D

`6.24xx10^(-24)`

Text Solution

AI Generated Solution

The correct Answer is:
To find out how many electrons are there in one coulomb of electricity, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the charge of one electron**: The charge of one electron is approximately \( 1.602 \times 10^{-19} \) coulombs. 2. **Set up the equation**: We know that the total charge (Q) is 1 coulomb. To find the number of electrons (n), we can use the formula: \[ n = \frac{Q}{e} \] where \( e \) is the charge of one electron. 3. **Substitute the values**: Substitute \( Q = 1 \) coulomb and \( e = 1.602 \times 10^{-19} \) coulombs into the equation: \[ n = \frac{1 \text{ C}}{1.602 \times 10^{-19} \text{ C/electron}} \] 4. **Calculate the number of electrons**: Performing the division: \[ n = \frac{1}{1.602 \times 10^{-19}} \approx 6.24 \times 10^{18} \] 5. **Conclusion**: Therefore, there are approximately \( 6.24 \times 10^{18} \) electrons in one coulomb of electricity. ### Final Answer: There are approximately \( 6.24 \times 10^{18} \) electrons in one coulomb of electricity. ---
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