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A: Total charge on N(A) ions of CO(3)^(2...

A: Total charge on `N_(A)` ions of `CO_(3)^(2-)` is `1.93 xx 10^(5)` coulomb.
R : Charge on one electron is 96500 coulomb.

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion

C

If Assertion is true statement but Reason is false

D

If both Assertion and Reason are false statements

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to calculate the total charge on \( N_A \) ions of \( CO_3^{2-} \) and verify the given information. ### Step-by-Step Solution: 1. **Understanding the Charge on \( CO_3^{2-} \)**: - The carbonate ion \( CO_3^{2-} \) has a total charge of \( -2 \). This means that each \( CO_3^{2-} \) ion carries a charge of \( -2e \), where \( e \) is the charge of a single electron. 2. **Charge of a Single Electron**: - The charge of one electron is approximately \( 1.6 \times 10^{-19} \) coulombs. 3. **Calculating the Charge on One \( CO_3^{2-} \) Ion**: - The total charge on one \( CO_3^{2-} \) ion can be calculated as: \[ \text{Charge on one } CO_3^{2-} = -2e = -2 \times 1.6 \times 10^{-19} \text{ C} = -3.2 \times 10^{-19} \text{ C} \] - However, for total charge calculations, we consider the magnitude: \[ \text{Magnitude of charge} = 3.2 \times 10^{-19} \text{ C} \] 4. **Using Avogadro's Number**: - Avogadro's number \( N_A \) is \( 6.022 \times 10^{23} \) ions/mol. To find the total charge on \( N_A \) ions of \( CO_3^{2-} \): \[ \text{Total charge} = N_A \times \text{Charge on one } CO_3^{2-} \] \[ \text{Total charge} = 6.022 \times 10^{23} \times 3.2 \times 10^{-19} \text{ C} \] 5. **Calculating the Total Charge**: - Performing the multiplication: \[ \text{Total charge} = 6.022 \times 3.2 \times 10^{4} \text{ C} = 1.927 \times 10^{5} \text{ C} \] - Rounding this gives: \[ \text{Total charge} \approx 1.93 \times 10^{5} \text{ C} \] 6. **Conclusion**: - The assertion that the total charge on \( N_A \) ions of \( CO_3^{2-} \) is \( 1.93 \times 10^{5} \) coulombs is correct. - The reason provided, stating that the charge on one electron is \( 96500 \) coulombs, is incorrect. The correct charge on one electron is \( 1.6 \times 10^{-19} \) coulombs. ### Final Answer: - **Assertion**: True - **Reason**: False - **Correct Option**: Assertion is true, but reason is false.
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