Out of the following compounds, which one will have a zero dipole moment?

Options

A. 1, 1-Dichloroethylene
B. cis-1, 2-Dichloroethylene
C. trans-1, 2-dichloroethylene
D. none of these compounds.

Explanation

To determine which compound has a zero dipole moment, we need to analyze the molecular structures of the given compounds and their symmetry. The dipole moment is a vector quantity that depends on the distribution of charge within a molecule. A molecule with a symmetrical structure can have its dipole moments cancel out, resulting in a net dipole moment of zero.

### Step-by-Step Solution:

1. **Understand Dipole Moment**:
- Dipole moment is a measure of the polarity of a molecule, which arises from the difference in electronegativity between atoms and the geometry of the molecule.

2. **Analyze the Given Compounds**:
- We have four compounds to consider. We will analyze each one to determine if it has a dipole moment.

3. **First Compound: 1,1-Dichloroethylene (CHCl=CHCl)**:
- Structure: The structure has two chlorine atoms attached to the same carbon atom.
- Analysis: This compound is asymmetric due to the presence of two Cl atoms on one side, leading to a net dipole moment.

4. **Second Compound: Cis-1,2-Dichloroethylene (Cis-CHCl=CHCl)**:
- Structure: In this structure, both Cl atoms are on the same side of the double bond.
- Analysis: This arrangement also results in a net dipole moment because the dipoles do not cancel out.

5. **Third Compound: Trans-1,2-Dichloroethylene (Trans-CHCl=CHCl)**:
- Structure: Here, the Cl atoms are on opposite sides of the double bond.
- Analysis: The symmetry of this molecule allows the dipole moments from each Cl atom to cancel each other out, resulting in a zero dipole moment.

6. **Conclusion**:
- Among the given compounds, **Trans-1,2-Dichloroethylene** is the one that has a zero dipole moment due to its symmetrical structure.

### Final Answer:
The compound that will have a zero dipole moment is **Trans-1,2-Dichloroethylene**.