Essential Math of Chemistry

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Essential Math of Chemistry
No human endeavor can be called science if it
can not be demonstrated mathematically.
Leonardo da Vinci (1452-1519)
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Math Review
Math Review
Math Review
Keys
http//www.unit5.org/chemistry/intro.html
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Mathematics of Chemistry
Mathematics of Chemistry  (key)
Mathematics of Chemistry  (key)
Keys
http//www.unit5.org/chemistry/intro.html
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The Importance of Units

• Units must be carried into the
• answer, unless they cancel.

0.64
0.57
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Basic Algebra

• Solve the following for x.

x y z
x and y are connected by addition. Separate them
using subtraction. In general, use opposing
functions to separate things.
x y z
y
y
The y and y cancel on the left,
x z y
leaving us with
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Basic Algebra

• Solve for x.

x 24 13
x and 24 are connected by subtraction. Separate
them using the opposite function addition.
x 24 13
24
24
The 24 and 24 cancel on the left,
x 37
leaving us with
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Basic Algebra

• Solve for x.

F k x
x and k are connected by multiplication. Separate
them using the opposite function division.
The two ks cancel on the left,
leaving us with
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Basic Algebra

• Solve for x.

8 7 x
x and 7 are connected by multiplication. Separate
them using the opposite function division.
The two 7s cancel on the right,
leaving us with
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Basic Algebra

• Solve for x.

One way to solve this is to cross-multiply.
BAH xTR
Then, divide both sides by TR.
BAH xTR
The answer is
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• Solve for T2, where
• P1 1.08 atm
• P2 0.86 atm
• V1 3.22 L
• V2 1.43 L
• T1 373 K

P1V1T2 P2V2T1
130
K
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A General Procedure for Solving Problems

• Read the problem carefully and make a list of the
  knowns and the unknowns
• Look up all needed information
• Your lecture notes will have much, if not all, of
  the needed information
• Work out a plan and, following your plan, obtain
  an answer by carrying out the required math.
• Check over your work
• This is best done by estimating your answer
• Ask yourself Does the answer seem reasonable?

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How to Succeed in Chemistry

• Learn the language
• Use the illustrations
• Review your notes frequently
• Work as many problems as possible
• Do NOT cram for exams.

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Hollow Penny
Data Table
Score side of penny in 3 locations Place penny
in HCl acid overnight
IN GOD WE TRUST
Percent Composition
LIBERTY
1982
What metal disappeared from the penny...copper or
zinc?
www.usmint.gov
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THE END
This PowerPoint has been made possible through
LOTS of my free time!
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KEYS - Intro. to Chemistry
Worksheet - vocabulary
Worksheet - material safety data sheet (acetone)
Activity - checkbook activity
Worksheet - graphing
Worksheet - real life chemistry
Worksheet - conversion factors
Worksheet - scientific notation
Worksheet - metric article (questions)
Worksheet - significant digits
Worksheet - math review
Worksheet - math of chemistry
Worksheet - article on the metric system
Textbook - questions
Lab introduction to qualitative analysis
Outline (general)
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Resources - Intro. to Chemistry
Worksheet - vocabulary
Worksheet - material safety data sheet (acetone)
Activity - checkbook activity
Worksheet - graphing
General Chemistry PP
Worksheet - real life chemistry
Worksheet - conversion factors
Worksheet - scientific notation
Worksheet - metric article (questions)
Episode 1 - The World of Chemistry
Worksheet - significant digits
Episode 3 Measurement The
Foundation of Chemistry
Worksheet - math review
Episode 4 - Modeling The Unseen
Worksheet - math of chemistry
Worksheet - article on the metric system
Textbook - questions
Lab introduction to qualitative analysis
Outline (general)