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The amount of electric charge on one mol...

The amount of electric charge on one mole of electrons is __________.

A

`1.6 xx 10^(-19)C`

B

96500C

C

`6.02 xx 10^(-23)C`

D

`1.6 xx 10^(-23)C`

Text Solution

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The correct Answer is:
To find the amount of electric charge on one mole of electrons, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Concept**: The electric charge (Q) on one mole of electrons can be calculated using the formula: \[ Q = n \times e \] where \( n \) is the number of electrons in one mole (Avogadro's number) and \( e \) is the charge of one electron. 2. **Identify the Values**: - The charge of one electron (\( e \)) is approximately: \[ e = 1.602 \times 10^{-19} \text{ C} \] - Avogadro's number (\( n \)) is: \[ n = 6.022 \times 10^{23} \text{ electrons/mole} \] 3. **Substitute the Values into the Formula**: \[ Q = (6.022 \times 10^{23}) \times (1.602 \times 10^{-19}) \] 4. **Calculate the Charge**: - First, multiply the numbers: \[ Q = 6.022 \times 1.602 \times 10^{23} \times 10^{-19} \] - This simplifies to: \[ Q = 9.647 \times 10^{4} \text{ C} \] 5. **Round the Result**: - The value \( 9.647 \times 10^{4} \) C can be approximated to: \[ Q \approx 96500 \text{ C} \] 6. **Final Answer**: - Therefore, the amount of electric charge on one mole of electrons is: \[ \text{Answer: } 96500 \text{ C (which is also equal to 1 Faraday)} \]
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