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The number of electrons in 2 coulomb of ...

The number of electrons in 2 coulomb of charge is

A

`5xx10^(29)`

B

`12.5xx10^(18)`

C

`1.6xx10^(19)`

D

`9xx10^(11)`

Text Solution

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The correct Answer is:
To find the number of electrons in 2 coulombs of charge, we can use the relationship between charge, the number of electrons, and the charge of a single electron. The formula we will use is: \[ Q = N \times E \] Where: - \( Q \) is the total charge (in coulombs), - \( N \) is the number of electrons, - \( E \) is the charge of a single electron (approximately \( 1.6 \times 10^{-19} \) coulombs). ### Step-by-Step Solution: 1. **Identify the given values**: - Total charge \( Q = 2 \) coulombs - Charge of one electron \( E = 1.6 \times 10^{-19} \) coulombs 2. **Rearrange the formula to solve for \( N \)**: \[ N = \frac{Q}{E} \] 3. **Substitute the known values into the equation**: \[ N = \frac{2 \, \text{coulombs}}{1.6 \times 10^{-19} \, \text{coulombs/electron}} \] 4. **Perform the division**: \[ N = \frac{2}{1.6 \times 10^{-19}} = 1.25 \times 10^{19} \] 5. **Conclusion**: The number of electrons in 2 coulombs of charge is approximately \( 1.25 \times 10^{19} \) electrons. ### Final Answer: The number of electrons in 2 coulombs of charge is \( 1.25 \times 10^{19} \). ---

To find the number of electrons in 2 coulombs of charge, we can use the relationship between charge, the number of electrons, and the charge of a single electron. The formula we will use is: \[ Q = N \times E \] Where: - \( Q \) is the total charge (in coulombs), - \( N \) is the number of electrons, - \( E \) is the charge of a single electron (approximately \( 1.6 \times 10^{-19} \) coulombs). ...
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