The maximum number of atoms that may lie in the same plane in `(CH_(3))_(2)C=SF_(2)(CH_(3))(2)` is ……

Explanation

To determine the maximum number of atoms that may lie in the same plane in the molecule `(CH₃)₂C=SF₂(CH₃)₂`, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Structure**: Start by identifying the molecular structure of `(CH₃)₂C=SF₂(CH₃)₂`. This molecule consists of a central carbon atom double-bonded to a sulfur atom, which is further bonded to two fluorine atoms and two methyl groups `(CH₃)`.

2. **Draw the Lewis Structure**: Draw the Lewis structure of the molecule. The central carbon (C) is double-bonded to sulfur (S), and each carbon in the methyl groups is single-bonded to the central carbon. The sulfur atom is bonded to two fluorine atoms.

3. **Determine Hybridization**:
- The central carbon atom (C) is sp² hybridized due to the double bond with sulfur and the two single bonds with the methyl groups.
- The sulfur atom (S) is bonded to five atoms (two fluorine and one carbon), indicating it is dsp³ hybridized, which has a trigonal bipyramidal geometry.

4. **Analyze the Geometry**:
- In the trigonal bipyramidal geometry, three bonds can occupy the equatorial plane, while the remaining two bonds are axial.
- The two fluorine atoms will occupy the axial positions, while the three groups (the double bond with carbon and the two methyl groups) will lie in the equatorial plane.

5. **Count Atoms in the Same Plane**:
- The atoms in the equatorial plane include:
- The central carbon atom (C)
- The two methyl groups (each contributes one carbon atom)
- The sulfur atom (S)
- Each carbon atom in the methyl groups has one hydrogen atom that lies in the same plane.
- Therefore, we have:
- 1 (central carbon) + 1 (C from CH₃) + 1 (C from CH₃) + 1 (S) + 3 (H from each CH₃) = 7 atoms.

6. **Consider Additional Atoms**:
- Each of the two methyl groups contributes one hydrogen atom that lies in the same plane, adding 2 more hydrogen atoms.
- Thus, the total number of atoms in the same plane is 10.

### Final Count:
The total number of atoms that may lie in the same plane is **10**.