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The formula of ethyne is C₂H₂; and not, C₂H₄. The second is, ethene. Therefore, the first one is correct.

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Ethyne is C2H2.
It is a alkyne. Alkynes have genral formula CnHn.

C2H4 is ethene.
It is a alkene. Alkenes have general formula CnH2n

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