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.

Options

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

Answer

To solve the problem, we need to analyze the assertion and reason provided in the question about the carbonate ion \( \text{CO}_3^{2-} \) and the charge on electrons.

### Step-by-step Solution:

1. **Understanding the Charge on Carbonate Ion**:
The carbonate ion \( \text{CO}_3^{2-} \) has a charge of \( -2 \). This means that each carbonate ion is equivalent to having gained two electrons.

2. **Understanding Faraday's Constant**:
Faraday's constant (denoted as \( F \)) is the charge carried by one mole of electrons. The value of Faraday's constant is approximately \( 96500 \, \text{C/mol} \).

3. **Calculating the Total Charge for One Mole of Carbonate Ions**:
Since each carbonate ion has a charge of \( -2 \), one mole of carbonate ions will have:
\[ \text{Charge per mole of } \text{CO}_3^{2-} = 2 \times F \]
\[ = 2 \times 96500 \, \text{C/mol} = 193000 \, \text{C} \]

4. **Expressing the Total Charge in Scientific Notation**:
The total charge can be expressed in scientific notation:
\[ 193000 \, \text{C} = 1.93 \times 10^5 \, \text{C} \]

5. **Conclusion**:
The total charge on \( N_A \) ions of \( \text{CO}_3^{2-} \) is indeed \( 1.93 \times 10^5 \, \text{C} \), which matches the assertion given in the question. Therefore, assertion A is correct.

6. **Evaluating the Reason**:
The reason states that the charge on one electron is \( 96500 \, \text{C} \). This is incorrect; \( 96500 \, \text{C} \) is the charge for one mole of electrons, not for a single electron. The charge of one electron is approximately \( -1.6 \times 10^{-19} \, \text{C} \).

7. **Final Statement**:
Assertion A is true, but Reason R is false.