Select the correct order for the property given in brackets.

Options

A. `F^(+)(g) lt Cl^(+)(g) : (EA "order")`
B. `F^(+)(g) lt Cl^(+)(g) : (|DeltaH_(eg)| "order")`
C. `O(g) lt S(g) : (|DeltaH_(eg)| "order")`
D. `S2^(-)(g) lt Cl^(-)(g), (IE "order")`

Answer

To solve the question regarding the correct order for the properties given, we will analyze the electron affinity and ionization energy of the specified ions. We will follow these steps:

### Step 1: Understand Electron Affinity
Electron affinity is defined as the amount of energy released when an electron is added to a neutral atom. A higher electron affinity indicates a stronger attraction for the added electron.

### Step 2: Compare F⁺ and Cl⁺
- **Fluorine (F)** is more electronegative than **Chlorine (Cl)**.
- When comparing F⁺ and Cl⁺, F⁺ will have a higher electron affinity because it has a stronger attraction for electrons due to its higher electronegativity.
- Therefore, the order of electron affinity for F⁺ and Cl⁺ is: **F⁺ > Cl⁺**.

### Step 3: Compare O and S for Electron Gain Enthalpy
- **Oxygen (O)** is smaller in size compared to **Sulfur (S)**, which means that the added electron in oxygen will experience more repulsion due to the smaller atomic radius.
- Sulfur, being larger, will have less electron-electron repulsion when gaining an electron.
- Therefore, the order of electron gain enthalpy for O and S is: **S > O**.

### Step 4: Understand Ionization Energy
Ionization energy is the energy required to remove the outermost electron from an atom or ion. A higher ionization energy indicates that it is more difficult to remove an electron.

### Step 5: Compare S²⁻ and Cl⁻
- **S²⁻** (sulfide ion) has gained two electrons, while **Cl⁻** (chloride ion) has gained one electron.
- The size of Cl⁻ is smaller than that of S²⁻, which means that removing an electron from Cl⁻ will require more energy due to its smaller size and greater effective nuclear charge.
- Therefore, the order of ionization energy for S²⁻ and Cl⁻ is: **Cl⁻ > S²⁻**.

### Step 6: Summarize the Correct Orders
- For electron affinity: **F⁺ > Cl⁺**
- For electron gain enthalpy: **S > O**
- For ionization energy: **Cl⁻ > S²⁻**

### Final Answer
The correct orders for the properties given in the question are:
1. Electron affinity: **F⁺ > Cl⁺**
2. Electron gain enthalpy: **S > O**
3. Ionization energy: **Cl⁻ > S²⁻**