A : `2 F^(-) + Cl_(2) to 2 Cl^(-) + F_(2)` is a reaction having `Delta G^0 = -ve` .
R : `Cl_(2)` is better oxidizing agent than `F_(2)` .

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion , then mark (1)
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion , then mark (2)
C. If Assertion is true statement but Reason is false , then mark (3)
D. If both Assertion and Reason are false statements , then mark (4)

Answer

To solve the question, we need to analyze both the assertion (A) and the reason (R) provided.

### Step-by-Step Solution:

1. **Understanding the Assertion (A)**:
The assertion states that the reaction \( 2 F^{-} + Cl_{2} \rightarrow 2 Cl^{-} + F_{2} \) has a standard Gibbs free energy change (\( \Delta G^0 \)) that is negative. A negative \( \Delta G^0 \) indicates that the reaction is spontaneous.

2. **Analyzing the Reaction**:
In this reaction, \( F^{-} \) (fluoride ion) is being oxidized to \( F_{2} \) (fluorine gas), while \( Cl_{2} \) (chlorine gas) is being reduced to \( Cl^{-} \) (chloride ion). Since \( F^{-} \) is being oxidized, we need to check if this is consistent with the known properties of fluorine.

3. **Standard Reduction Potentials**:
The standard reduction potential for the half-reaction \( F_{2} + 2e^{-} \rightarrow 2F^{-} \) is +2.87 V, which is the highest among all elements. This means fluorine is very strong as an oxidizing agent and typically does not get oxidized itself.

4. **Conclusion on Assertion**:
Since fluorine has the highest standard reduction potential, it does not oxidize to \( F_{2} \) under normal conditions. Therefore, the assertion that \( \Delta G^0 \) is negative for this reaction is **false**.

5. **Understanding the Reason (R)**:
The reason states that \( Cl_{2} \) is a better oxidizing agent than \( F_{2} \). However, since \( F_{2} \) is a stronger oxidizing agent than \( Cl_{2} \) (due to its higher standard reduction potential), this statement is also **false**.

6. **Final Evaluation**:
Since both the assertion and the reason are false, the correct answer is option **D**: Both assertion and reason are false statements.