Explanation:

Acetylene is a hydrocarbon with the chemical formula C2H2. It is a linear molecule with a triple bond between the two carbon atoms and a single bond between each carbon atom and a hydrogen atom. The length of the molecule can be calculated using the bond lengths of the carbon-hydrogen and carbon-carbon bonds.

Bond Lengths:

The bond lengths of a molecule depend on the strength of the bond, which is determined by the number of electron pairs shared between the atoms. In the case of acetylene, the carbon-carbon triple bond is stronger than the carbon-hydrogen single bond, which results in a shorter bond length.

The bond lengths of carbon-hydrogen and carbon-carbon in acetylene are given as:

- Carbon-Hydrogen bond length = 106 pm
- Carbon-Carbon triple bond length = 120 pm

Calculation of Acetylene Length:

The length of the acetylene molecule can be calculated by adding the bond lengths of carbon-hydrogen and carbon-carbon bonds.

- Length of acetylene = (2 x Carbon-Hydrogen bond length) + Carbon-Carbon triple bond length
- Length of acetylene = (2 x 106 pm) + 120 pm
- Length of acetylene = 332 pm

Therefore, the length of the acetylene molecule is 332 pm.

Conclusion:

Acetylene is a linear molecule with a triple bond between the two carbon atoms and a single bond between each carbon atom and a hydrogen atom. The length of the acetylene molecule can be calculated by adding the bond lengths of carbon-hydrogen and carbon-carbon bonds, which results in a length of 332 pm.