I'd have to agree with Notfred...CompE is a hard work load as is Chemical Engineering.
As previously mentioned...it's breadth of knowledge required to become a decent Engineer in those fields.
FI: For ChemE I took:
3 years Math...freshman Calculus, diff eq., multi. calc. (2 classes), linear algebra, numericals methods (two class), process dynamics and optimizattion (linear programming, etc.)
3 years Chemistry...full year general, full year of Organic Chem (with lab), full year of Physical Chemistry (no lab thank god!)
General Engineering Stuff: mechanics of materials, Intro to EE, basic drafting skills, machining/welding, computer programming (C/C++)
ChemE: year of thermodynamics, reaction kinetics and reactor design, transport phenomena (applied physics basically: fluid dynamics, heat transfer, mass transfer), kinetic processes in materials, unit operations (distillation, membrane/ion separation, etc.), chemical process design, numerical simulation.
Every ChemE class had a lab with it that was more work than the lecture. Plus I had two senior projects , one group and one that I did by myself (both took a good 150-200 hours of work on my part which really isn't too bad when you spread out the time).
Computer Engineering is the same kind of story just different subject materials (one of my friends was a CompE...he is doing quite well for himself right now).