Do organic molecules with an OH group generally hydrogen bond?

Answer 1

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Yes, they do. The H is bonded to an O atom, so lends itself to hydrogen bonding. This is also the case if H is bonded to N or F atoms.

Answer 2

Hydrogen bonding .....

Alcohols (R-COH) can hydrogen bond with one another as can acids (R-COOH).

There can also be hydrogen bonding between one of these and a molecule which contains only N, O or F. (Although such molecules cannot hydrogen bond with each other.) For instance... hydrogen bonding between formaldehyde and methanol.

H2C=O•••H−O−CH3

Methanol is the hydrogen bond donor, and formaldehyde is the hydrogen bond acceptor.

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Hydrogen bonding .... The weakly covalent bonds found between the hydrogen atom of one molecule where it is bonded to N, O or F, and the N, O, or F of an adjacent molecule. The hydrogen atom functions as a bridge, forming a bond between two molecules. Hydrogen bonding is more than an electrostatic attraction between molecules, instead there is evidence of orbital overlap and covalent bond formation