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The charge present on 1 mole electrons...

The charge present on 1 mole electrons

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To find the charge present on 1 mole of electrons, we can follow these steps: ### Step 1: Identify the charge of a single electron The charge of a single electron is known to be approximately: \[ e = 1.6 \times 10^{-19} \text{ coulombs} \] ### Step 2: Determine the number of electrons in one mole One mole of any substance contains Avogadro's number of entities, which is: \[ N_A = 6.022 \times 10^{23} \text{ electrons} \] ### Step 3: Calculate the total charge for one mole of electrons To find the total charge for one mole of electrons, we multiply the charge of a single electron by the number of electrons in one mole: \[ \text{Total charge} = N_A \times e \] Substituting the values: \[ \text{Total charge} = (6.022 \times 10^{23} \text{ electrons}) \times (1.6 \times 10^{-19} \text{ coulombs/electron}) \] ### Step 4: Perform the multiplication Now, we can perform the multiplication: \[ \text{Total charge} = 6.022 \times 1.6 \times 10^{23 - 19} \] \[ \text{Total charge} = 6.022 \times 1.6 \times 10^{4} \] Calculating \(6.022 \times 1.6\): \[ 6.022 \times 1.6 = 9.6352 \] Thus, \[ \text{Total charge} = 9.6352 \times 10^{4} \text{ coulombs} \] ### Step 5: Round the result Rounding this to three significant figures gives us: \[ \text{Total charge} \approx 96500 \text{ coulombs} \] ### Conclusion The charge present on 1 mole of electrons is approximately: \[ \text{Charge} = 96500 \text{ coulombs} \] This value is also known as 1 Faraday. ---
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