Chemistry major here, One difference is the scale.
chemistry is like the first season of breaking bad. Making small amounts of chemicals with lab glassware. Chemists specialize on small amounts of expensive specialty compounds, such as fragrance compounds. These specialty chemicals might be sold in amounts like up to 100 mL, but a bottle of a 100 mL specialty chemical such as amyl pelargonate (apricot flavor) could cost up to $200
Chemical engineers focus on huge amounts of cheap manufacturing chemicals, like petrochemicals and precursors. Making huge vats of benzene, toluene, aniline, etc
