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The molecule with the largest dipole moment will be [tex]CH_{4}[/tex].

A dipole moment would be a unit used to describe how far apart two electrical charges are from one another. Dipole moments represent a type of vector. The direction could be from negative charge to positive charge, while the magnitude has been equal to the charge times the distance between most of the charges.

The polar bonds, of  [tex]CO_{2}[/tex] as well as [tex]H_{2} O[/tex] have chemical configurations where the polarity cancels, leaving no net dipole. Regardless of the molecule's shape, [tex]CH_{4}[/tex] lacks a net dipole due to its non-polar links.

The molecule with the largest dipole moment will be [tex]CH_{4}[/tex].

Hence the correct answer will be option (c).

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