Statement-1 : `CS_(2)` behave as a non-polar solvent
and
Statement-2 : The shape of `CS_(2)` is linear .

Options

A. Statement-1 is True , Statement-2 is True , Statement-2 is a correct explanation for Statement-1
B. Statement-1 is True , Statement-2 is True , Statement-2 is NOT a correct explanation for Statement-1
C. Statement-1 is True , Statement-2 is False
D. Statement-1 is False , Statement-2 is True

Answer

To analyze the statements regarding CS₂ (carbon disulfide), we can break down the reasoning step by step.

### Step-by-Step Solution:

1. **Understanding the Structure of CS₂:**
- Carbon (C) has 4 valence electrons, and each sulfur (S) atom has 6 valence electrons.
- In CS₂, carbon forms double bonds with each sulfur atom, resulting in the molecular formula CS₂.

2. **Determining the Shape of CS₂:**
- The molecular geometry of CS₂ can be determined using the VSEPR (Valence Shell Electron Pair Repulsion) theory.
- Carbon has no lone pairs of electrons, and it forms two double bonds with sulfur. This leads to a linear arrangement of the atoms.
- Therefore, the shape of CS₂ is linear.

3. **Polarity of CS₂:**
- The polarity of a molecule is determined by its dipole moment, which depends on the difference in electronegativity between the bonded atoms and the molecular geometry.
- In CS₂, carbon is less electronegative than sulfur, leading to a dipole moment directed from carbon to sulfur.
- However, because CS₂ is linear, the dipole moments from the two C=S bonds are equal in magnitude but opposite in direction. This results in the cancellation of the dipole moments.

4. **Conclusion on Polarity:**
- Since the dipole moment of CS₂ is zero due to the linear shape, CS₂ behaves as a non-polar solvent.

5. **Evaluating the Statements:**
- **Statement 1:** "CS₂ behaves as a non-polar solvent" - This is true.
- **Statement 2:** "The shape of CS₂ is linear" - This is also true.
- Furthermore, Statement 2 explains Statement 1, as the linear shape leads to the cancellation of dipole moments, resulting in a non-polar molecule.

### Final Answer:
Both statements are true, and Statement 2 provides a correct explanation for Statement 1. Therefore, the correct option is that both statements are true, and Statement 2 explains Statement 1.