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CHEMISTRYSEPT 10, 2014
DIMENSIONAL ANALYSIS BASIC
SCIENCE STARTER
•Define measurement•What is the difference
between quantitative and qualitative data?
OBJECTIVES
• SWBAT applied dimensional analysis
AGENDA
• SCIENCE STARTER• DIMENSIONAL ANALYSIS APPLICATION
EQUIVALENT RELATIONSHIP
• 1 cake = 4 slices of cake–So, 1 cake or 4 slices of cake is
the same amount of cake.–So, this ratio is equal to one
another
CAKE EXAMPLE
• How many slices of cake do you have if you have 2 cakes?
CAKE MATH
Dimensional analysis
• Converting a given unit into another unit
Dimensional analysis
• A = What is given (include an amount and a unit. E.g., 2 inches)• = the equivalent relationship.– with C being the amount with the
same unit as A• D = answer in the desired unit
Example
• Cake Example – How many slices of cake do you have if you have 2 cake? Equivalent relationship: 1 cake = 4 slices
EXAMPLE
• Convert 2 feet into inches–Equivalent relationship = 1 foot
= 12 inches
Step 1: Identify what you know
• A = 2 feet• C = 1 foot• B = 12 inches• D = ______ inches (unknown
amount)
Step 2: Identify the equivalent relationship(s)
• 1 foot = 12 inches
Step 3: Set up the dimensional analysis equation
Step 4: Cancel out the similar units located on opposite side of one another
Step 5: Do the math
KIT KAT EXAMPLE
• What happens when you need to use more than one Equivalent Relationship.
• Let’s look at the KIT KAT EXAMPLE.
KIT KAT EXAMPLE
DEMONSTRATE LIVE EXAMPLE
MULTIPLE EQUIVALENT RELATIONSHIPS
• Many time, you may have to use multiple equivalent relationships to get to the final unit you want.
DIMENSIONAL ANALYSIS FOR MULTIPLE EQUIVALENT RELATIONSHIP
Dimensional analysis
• A = What is given (include an amount and a unit. E.g., 2 inches)
• = the equivalent relationship.– with C being the amount with the same unit as A
• = the equivalent relationship.– with E being the amount with the same unit as B
• Z= answer in the desired unit
KIT KAT EXAMPLE
• How many pieces of Kit Kat do you have if you bought 5 bags?
KIT KAT EQUIVALENT RELATIONSHIPS
• 1 bag = 21 Kit Kats.–So, this ratio is equal to one
another• 1 Kit Kats = 2 pieces–So, this ratio is equal to one
another
PRACTICES
• WORK ON THE PRACTICE PROBLEMS• YOU HAVE 10 MINUTES
EQUIVALENT RELATIONSHIPS
• 1 FT = 12 INCHES• 1 FT = 0.3048 M• 1 M = 100 CM• 1 G = 100 CG• 1 KG = 1000 G• 1 MIN = 60 SEC• 1 HR = 60 MIN