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Quite a bit. With a chemistry degree you will be working in a lab typically doing analysis. With an advanced degree in chemisrty, you may be doing some development work or research.
A chemical engineering degree will typically land you in industry where you will be working with day to day operations of a chemical manufacturing facility.
they are really two completely different things.
Of course the classwork to get the degrees is somewhat similar. You will take most of the same chemistry courses in college, but the sciences may be a bit different. My experience is that the math and physics classes required for an Engineering major are more rigorous than those required for a Chemistry degree. Posessing both degrees, I can speak to this point.