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In what order should I learn Chemistry?

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MNIO:
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

************
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

*********
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.

***********
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.
       
 

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