A molecule `XY_2` contains two `sigma`, two `pi` and one lone pair of electron in valence shell of X. The arrangement of lone pair as well as bond pairs is

Options

A. square pyramidal
B. linear
C. trigonal planar
D. unpredictable

Explanation

To determine the arrangement of lone pairs and bond pairs in the molecule `XY2`, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Number of Electrons:**
- The molecule `XY2` has 2 sigma bonds, 2 pi bonds, and 1 lone pair of electrons in the valence shell of atom X.
- Each sigma bond is formed by 2 electrons, and each pi bond is formed by 2 electrons as well.
- Therefore, the total number of electrons involved is:
- 2 (from sigma bonds) + 2 (from pi bonds) + 1 (from the lone pair) = 5 electrons.

2. **Determine the Group of Element X:**
- Since the total number of valence electrons is 6, element X must belong to group 16 of the periodic table (which includes elements like oxygen, sulfur, etc.).

3. **Analyze the Structure:**
- A common example of a molecule with this configuration is sulfur dioxide (SO2).
- In SO2, sulfur (S) is the central atom (X), bonded to two oxygen atoms (Y).
- The structure can be visualized as:
- S has 2 sigma bonds with O and 2 pi bonds (one for each O), and 1 lone pair.

4. **Determine Hybridization:**
- The steric number is calculated as the sum of sigma bonds and lone pairs:
- Steric number = Number of sigma bonds + Number of lone pairs = 2 + 1 = 3.
- This indicates that the hybridization of X is sp².

5. **Determine Molecular Geometry:**
- With a steric number of 3 and one lone pair, the molecular geometry is trigonal planar.
- However, due to the presence of the lone pair, the actual shape becomes bent (or V-shaped).

6. **Conclusion:**
- The arrangement of lone pairs and bond pairs in the molecule `XY2` is such that it has a bent shape due to the repulsion between the lone pair and the bonding pairs.

### Final Answer:
The arrangement of lone pairs and bond pairs in the molecule `XY2` is a bent shape due to the presence of one lone pair and two bond pairs.