Which of the following pair of species have identical shape?

Options

A. `CO_(2), SO_(2)`
B. `CIF_(3), BF_(3)`
C. `XeF_(2), I_(3)^(-)`
D. `SO_(4)^(2-), XeF_(4)`

Answer

To determine which pair of species have identical shapes, we need to analyze the molecular geometry of each pair based on their bond pairs and lone pairs of electrons.

### Step 1: Analyze CO2 and SO2
- **CO2 (Carbon Dioxide)**:
- Carbon (C) has no lone pairs and forms two double bonds with oxygen (O).
- The shape of CO2 is linear due to the arrangement of the two double bonds.

- **SO2 (Sulfur Dioxide)**:
- Sulfur (S) has one lone pair and forms two single bonds with oxygen (O).
- The presence of the lone pair causes the molecule to adopt a bent shape (V-shape).

**Conclusion**: CO2 and SO2 do not have identical shapes.

### Step 2: Analyze ClF3 and BF3
- **ClF3 (Chlorine Trifluoride)**:
- Chlorine (Cl) has two lone pairs and forms three single bonds with fluorine (F).
- The shape of ClF3 is T-shaped due to the three bond pairs and two lone pairs.

- **BF3 (Boron Trifluoride)**:
- Boron (B) has no lone pairs and forms three single bonds with fluorine (F).
- The shape of BF3 is trigonal planar.

**Conclusion**: ClF3 and BF3 do not have identical shapes.

### Step 3: Analyze XeF2 and I3-
- **XeF2 (Xenon Difluoride)**:
- Xenon (Xe) has three lone pairs and forms two single bonds with fluorine (F).
- The shape of XeF2 is linear due to the two bond pairs and three lone pairs.

- **I3- (Triiodide Ion)**:
- Iodine (I) has three lone pairs and forms two single bonds with other iodine atoms.
- The shape of I3- is also linear due to the two bond pairs and three lone pairs.

**Conclusion**: XeF2 and I3- have identical shapes.

### Step 4: Analyze SO4^2- and XeF4
- **SO4^2- (Sulfate Ion)**:
- Sulfur (S) has no lone pairs and forms four single bonds with oxygen (O).
- The shape of SO4^2- is tetrahedral.

- **XeF4 (Xenon Tetrafluoride)**:
- Xenon (Xe) has two lone pairs and forms four single bonds with fluorine (F).
- The shape of XeF4 is square planar due to the four bond pairs and two lone pairs.

**Conclusion**: SO4^2- and XeF4 do not have identical shapes.

### Final Answer
The pair of species that have identical shapes is **XeF2 and I3-**.

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