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Question

Rules of hybridization say that hybrid orbitals form only sigma bonds. However, unsaturated hydrocarbons like (ethylene and acetylene) possess multiple bonds between carbons.

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Solution

Rules of hybridization say that hybrid orbitals from only sigma bonds. This statement is true but ethylene and acetylene form multiple bonds.
In the case of ethylene, it shows sp2 hybridization. Thus, only two p-orbital takes part in hybridization and form a sigma bond.
The one unhybridized p-orbital lie perpendicular to sp2 hybrid orbital and form a double bond with unhybridized p-orbital of other carbon atoms by lateral sharing of electrons.
Similarly, in acetylene, two p-orbitals remain unhybridized and form two π bonds with each other.

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