$$\ce{C2H2(g) + Cl2(g) -> C2H2Cl2(g)}$$

For the reaction above, does the hybridization of the carbon atoms change?

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Obtain the lewis structure using typical methods.

The lewis structure of ethyne $\ce{C2H2(g)}$ is:

Since there are two effective pairs of electrons around the carbon atom, the carbon in ethyne requires $sp$ hybridization.

The lewis structure of $\ce{C2H2Cl2}$ is:

Since there are three effective pairs of electrons around each carbon atom, the carbon in this molecule requires $sp^2$ hybridization.