The sum of energy team involved in the reaction: `1//2 X_(2(g))rarr X_((aq))^(Theta)` is highest in case of

Options

A. Fluorine
B. Chlorine
C. Bromine
D. Iodine

Answer

To solve the question regarding the sum of energy change involved in the reaction \( \frac{1}{2} X_2(g) \rightarrow X_{(aq)}^{\Theta} \), we need to analyze the reduction potentials of the halogens. Here’s a step-by-step solution:

### Step 1: Understand the Reaction
The reaction involves the conversion of a diatomic halogen gas \( X_2 \) into its aqueous ion form \( X^{-} \). This process is essentially a reduction reaction where the halogen gains electrons.

**Hint:** Identify the nature of the reaction (reduction) and the species involved (halogens).

### Step 2: Relate Energy Change to Reduction Potential
The energy change in a reduction reaction can be quantified using the reduction potential. The higher the reduction potential, the more favorable the reaction is, indicating a greater energy change.

**Hint:** Recall that reduction potential indicates the tendency of a species to gain electrons.

### Step 3: Compare the Halogens
Among the halogens (Fluorine, Chlorine, Bromine, Iodine), we need to determine which has the highest reduction potential. Fluorine is known to have the highest reduction potential due to its small atomic size and high electronegativity, which leads to a strong attraction for electrons.

**Hint:** Remember that smaller atoms with high electronegativity typically have higher reduction potentials.

### Step 4: Conclusion
Since Fluorine has the highest reduction potential among the halogens, it will also have the highest sum of energy change involved in the reaction \( \frac{1}{2} X_2(g) \rightarrow X_{(aq)}^{\Theta} \).

**Final Answer:** The sum of energy change involved in the reaction is highest in the case of Fluorine (\( F_2 \)).

### Summary of Steps:
1. Identify the nature of the reaction (reduction).
2. Understand the relationship between energy change and reduction potential.
3. Compare the reduction potentials of the halogens.
4. Conclude that Fluorine has the highest reduction potential and thus the highest energy change.