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(A) The dipole moment of a molecule is the vector sum of the dipole moments of its individual bonds. $A$. $cis$-cyclobutane$-1,3-$diol has a non-zero

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cis-cyclobutane$-1,3-$diol

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(A) The dipole moment of a molecule is the vector sum of the dipole moments of its individual bonds. $A$. $cis$-cyclobutane$-1,3-$diol has a non-zero dipole moment because the two $OH$ groups are on the same side of the ring,and their bond dipoles do not cancel out. $B$. $1,3,5$-tricyanobenzene is a symmetric molecule where the three $CN$ group dipoles cancel each other out,resulting in a net dipole moment of zero. $C$. Tetrakis(chloromethyl)methane is a highly symmetric molecule (tetrahedral geometry) where the individual $C-Cl$ bond dipoles cancel out,resulting in a net dipole moment of zero. $D$. Piperazine in its chair conformation has a center of inversion,making it non-polar (dipole moment = $0$). Therefore,the correct option is $A$.

Which one of the following compounds has a non-zero dipole moment?

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