Friends of mine with ChemE degrees worked for a plastics company in an R&D function to develop coatings. They were involved with the experimental side of things to figure out what chemicals went into the coatings. Six Sigma analysis to determine what amounts of different constituent components produced desired results. Identifying technologies to scale up from prototype to full mass production of discrete parts coated with these coatings. Scoping, specifying, purchasing, installing, running, and maintaining such equipment. Intellectual Property efforts to generate patents for all of this. One ChemE went over to the Dark Side and became Safety & Health Manager.
Like my chosen field of MechE, I suspect that ChemE can be as broad a field as your imagination allows it to be.