The geometry of `H_2S` and its dipole moment are

Options

A. angular and non-zero
B. angular and zero
C. linear and non-zero
D. linear and zero.

Explanation

To determine the geometry of H₂S (hydrogen sulfide) and its dipole moment, we can follow these steps:

### Step 1: Determine the Valence Electrons
- Sulfur (S) is the central atom and belongs to Group 16 of the periodic table, which means it has 6 valence electrons.
- Each hydrogen (H) atom has 1 valence electron, and there are 2 hydrogen atoms, contributing a total of 2 valence electrons.

**Total Valence Electrons = Valence Electrons of S + Valence Electrons of H**
\[ = 6 + 2 = 8 \text{ valence electrons} \]

**Hint:** Remember to count the valence electrons for each atom based on their group number in the periodic table.

### Step 2: Calculate the Steric Number
- The steric number can be calculated using the formula:
\[ \text{Steric Number} = \frac{1}{2} \left( V + M + C \right) \]
Where:
- \( V \) = number of valence electrons of the central atom (S = 6)
- \( M \) = number of monovalent atoms attached (H = 2)
- \( C \) = charge (0 for neutral molecules)

Substituting the values:
\[ \text{Steric Number} = \frac{1}{2} \left( 6 + 2 + 0 \right) = \frac{8}{2} = 4 \]

**Hint:** The steric number helps determine the hybridization and geometry of the molecule.

### Step 3: Determine Hybridization
- A steric number of 4 indicates that the hybridization of the central atom (S) is \( sp^3 \).

**Hint:** The hybridization can be inferred from the steric number (e.g., 4 corresponds to \( sp^3 \)).

### Step 4: Identify the Geometry
- With \( sp^3 \) hybridization and 2 bond pairs (from H atoms) and 2 lone pairs, the geometry is tetrahedral.
- However, the presence of lone pairs affects the shape. The actual shape of H₂S is bent (or angular) due to the repulsion from the lone pairs.

**Hint:** The shape of the molecule can differ from its geometry due to lone pairs.

### Step 5: Determine the Dipole Moment
- In H₂S, sulfur is more electronegative than hydrogen, creating a dipole moment directed towards the sulfur atom.
- Since the individual dipole moments do not cancel out completely due to the bent shape, the overall dipole moment of H₂S is non-zero.

**Hint:** The dipole moment depends on the electronegativity difference and the molecular shape.

### Conclusion
- The geometry of H₂S is bent (angular) and it has a non-zero dipole moment.

**Final Answer:** The correct option is "angular and non-zero".