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Chemistry Question on Bond Parameters

Draw diagrams showing the formation of a double bond and a triple bond between carbon atoms in C2H4C_2H_4 and C2H2C_2H_2 molecules.

Answer

C2H4C_2H_4 :
The electronic configuration of CatomC-atom in the excited state is:
6C_6C=1s22s12px12py12pz11s^2 2s^1 2p_x^1 2p_y^1 2p_z^1

In the formation of an ethane molecule (C2H4)(C_2H_4), one sp2sp ^2 hybrid orbital of carbon overlaps a sp2sp ^2 hybridized orbital of another carbon atom, thereby forming a CCC-C sigma bond.
The remaining two sp2sp ^2 orbitals of each carbon atom form a sp2sp ^2 s-s sigma bond with two hydrogen atoms. The unhybridized orbital of one carbon atom undergoes sidewise overlap with the orbital of a similar kind present on another carbon atom to form a weak πbond\pi-bond.
diagram showing the formation of a double bond and a triple bond between carbon atoms

C2H2C_2H_2:
In the formation of C2H2C_2H_2 molecule, each CatomC-atom is spsp hybridized with two 2porbitals2p-orbitals in an unhybridized state.
One spsp orbital of each carbon atom overlaps with the other along the internuclear axis forming a CC  sigmaC-C \;sigma bond. The second spsp orbital of each CatomC-atom overlaps a half-filled 1sorbital1s-orbital to form a σ\sigma bond.
The two unhybridized 2porbitals2p-orbitals of the first carbon undergo sidewise overlap with the 2p  orbital2p\; orbital of another carbon atom, thereby forming two pi(π)pi (\pi) bonds between carbon atoms.
Hence, the triple bond between two carbon atoms is made up of one sigma and two πbonds\pi-bonds.
triple bond between two carbon atoms