A good starting place would be to google an undergraduate chemistry curriculum at a university. Here's the current one for the University of Illinois in Urbana Champaign
(1) general chemistry I & II
(2) general chemistry I & II labs
(3) analytical chemistry
(4) organic chemistry I & II
(5) organic chemistry I & II labs
(6) instrumental methods of analysis
(7) physical chemistry I & II (includes quantum mechs., thermo., etc)
( 8 ) physical methods of analysis (p-chem I an II labs)
(9) inorganic chemistry
(10) inorganic chemistry lab
+ electives in chemistry such as biochemistry, organic systhesis, etc
AND you'll need some math and physics as a basis for some of those classes
(11) Calculus I & II (algebra prerequisite)
(12) differential equations
(13) linear algebra
(14) general physics I, II, III
in addition, for a degree you'll need
foreign language
humanities
social sciences
English composition
+ other electives
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you might want to google an undergrad chemical engineering curriculum as well. We chemical engineers take the same chemistry classes, add our own classes in place of the electives and require a few more hours to graduate. The additional ChE classes include
(15) introduction to chemical engineering calculations
(16) mass transport operations
(17) fluid dynamics
(18) thermodynamics
(19) reactor design
(20) kinetics
(21) process controls systems
(22) process design
(23) unit operations
+ a few chemical engineering electives
+ additional 300/400 level math classes
+ the rest of the odds and ends
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all that said, let me give you a few book references that might help
general chemistry: Zumdahl chemistry.. or.. Brown chemistry central science
analytical: you're on your own.. mostly lab handouts when I took it.
organic: Morrison and Boyd is the standard, McMurry is an easier read
instrumental / physical methods: more handouts, independent research
p-chem: McQuarrie quantum chemistry, atkins physical chemistry
inorganic chem: Miessler inorganic chemistry
moving right along to the ChE books
intro: Felder and Rousseau elementary principles of chemical processes
this is a classic introductory book to ChE. Highly recommend it!!!
mass transport: Treybal, Mass Transfer operations
fluid dynamics: Bennett, momentum heat mass transport was the standard
my opinion, Welty Wicks Wilson Rorrer fundamentals of
momentum heat mass transfer is better
reactor design: Folger, elements of chemical reaction engineering
kinetics: J.M.Smith chemical engineering Kinetics
thermo: Smith and Van Ness, introduction to chemical engineering thermo.
process controls THEORY: Stephanopoulos chemical process control
process design: Peters and timmerhaus plant design and economics
unit operations was independent research, no single book
and the granddaddy of all ChE books we all use in advanced fluid dynamics
"transport phenomena" by Bird Stewart and Lightfoot.
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start at the top and work your way down.. the books are all available online, at libraries, for e-loan, for sale on amazon and ebay in non-electronic form,.. etc. If those don't click with you, there try a different book in those topics. Once you get to the chemical engineering books, you will need to have a good understanding of calculus and differential equations. You'll need to have drawing packages, mathcad (or mathlab) and chemcad available for some of the work. All in all, that's about 3 years, 8 hrs per day of studying. Find me in 3 years and I'll recommend some more.