Conversion Factor Method (ppt)

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Conversion Factor Method
of Analysis
Conversion Factor Method
a.k.a.
Dimensional Analysis
Conversion Factor Method
a.k.a.
Dimensional Analysis
a.k.a.
Factor-Label Method
Conversion Factor Method
a.k.a.
Dimensional Analysis
a.k.a.
Factor-Label Method
a.k.a.
Unit Factor Method
Conversion Factor Method
just a tool used in chemistry . . .
Conversion Factor Method
just a tool used in chemistry . . .
. . . to use information we already
have
Conversion Factor Method
just a tool used in chemistry . . .
. . . to use information we already
have
. . . to help us find information
we need.
Conversion Factor Method
• a problem-solving method
Conversion Factor Method
• a problem-solving method
• anything can be multiplied by 1
without changing its value
Conversion Factor Method
• a problem-solving method
• anything can be multiplied by 1
without changing its value
IMPORTANT: This is the basis of
the Conversion Factor Method!
Conversion Factor Method
• a “conversion factor” is a
fraction whose numerator and
denominator are equivalent,
making it equal to 1
Conversion Factor Method
• a “conversion factor” is a
fraction whose numerator and
denominator are equivalent,
making it equal to 1
Example:
12
Conversion Factor Method
• a “conversion factor” is a
fraction whose numerator and
denominator are equivalent,
making it equal to 1
Example:
12
1dozen
Conversion Factor Method
• a “conversion factor” is a
fraction whose numerator and
denominator are equivalent,
making it equal to 1
Example:
12
=
1dozen
Conversion Factor Method
• a “conversion factor” is a
fraction whose numerator and
denominator are equivalent,
making it equal to 1
Example:
12
=1
1dozen
Conversion Factor Method
• a “conversion factor” is a fraction
whose numerator and
denominator are equivalent,
making it equal to 1
Example:
12
=1=
1dozen
Conversion Factor Method
• a “conversion factor” is a fraction
whose numerator and
denominator are equivalent,
making it equal to 1
Example:
12
= 1 = 1 dozen
1dozen
Conversion Factor Method
• a “conversion factor” is a fraction
whose numerator and
denominator are equivalent,
making it equal to 1
Example:
12
= 1 = 1 dozen
1dozen
12
Conversion Factor Method
• use “conversion factors” to
convert from one unit to another
Conversion Factor Method
• use “conversion factors” to
convert from one unit to another
• make conversion factors from
any two terms that describe
equivalent “amounts”
Conversion Factor Method
• use “conversion factors” to
convert from one unit to another
• make conversion factors from
any two terms that describe
equivalent “amounts”
IMPORTANT: This is the basis of
the Conversion Factor Method!
Conversion Factor Method
Example: There are 60 seconds
in 1 minute.
you can make two “conversion
factors” from this information:
?
?
or
?
?
Conversion Factor Method
Example: There are 60 seconds
in 1 minute.
you can make two “conversion
factors” from this information:
1 min
?
or
?
?
Conversion Factor Method
Example: There are 60 seconds
in 1 minute.
you can make two “conversion
factors” from this information:
1 min
60 sec
or
?
?
Conversion Factor Method
Example: There are 60 seconds
in 1 minute.
you can make two “conversion
factors” from this information:
1 min
60 sec
or
60 sec
?
Conversion Factor Method
Example: There are 60 seconds
in 1 minute.
you can make two “conversion
factors” from this information:
1 min
60 sec
or
60 sec
1 min
Conversion Factor Method
Example: 1 inch = 2.54 cm
Conversion Factor Method
Example: 1 inch = 2.54 cm
you can make two “conversion
factors” from this information:
?
?
or
?
?
Conversion Factor Method
Example: 1 inch = 2.54 cm
you can make two “conversion
factors” from this information:
1 inch
?
or
?
?
Conversion Factor Method
Example: 1 inch = 2.54 cm
you can make two “conversion
factors” from this information:
1 inch
or
2.54 cm
?
?
Conversion Factor Method
Example: 1 inch = 2.54 cm
you can make two “conversion
factors” from this information:
1 inch
2.54 cm
or 2.54 cm
?
Conversion Factor Method
Example: 1 inch = 2.54 cm
you can make two “conversion
factors” from this information:
1 inch
2.54 cm
or 2.54 cm
1 inch
Conversion Factor Method
Sample Problem: How many cm
in 6 inches?
6 in. x
=
Conversion Factor Method
Sample Problem: How many cm
in 6 inches?
6 in x
2.54 cm
?
=
Conversion Factor Method
Sample Problem: How many cm
in 6 inches?
6 in x
2.54 cm
1 in
=
Conversion Factor Method
Sample Problem: How many cm
in 6 inches?
6 in x
2.54 cm
1 in
=
Conversion Factor Method
Sample Problem: How many cm
in 6 inches?
6 in x
2.54 cm
1 in
=
Conversion Factor Method
Sample Problem: How many cm
in 6 inches?
6 in x
2.54 cm
1 in
= 15.24
Conversion Factor Method
Sample Problem: How many cm
in 6 inches?
6 in x
2.54 cm
1 in
= 15.24 cm
Conversion Factor Method
Sample Problem: Express 4.3 cm
in inches.
4.3 cm x
=
Conversion Factor Method
Sample Problem: Express 4.3 cm
in inches.
4.3 cm x
1 in
=
Conversion Factor Method
Sample Problem: Express 4.3 cm
in inches.
4.3 cm x
1 in
?
=
Conversion Factor Method
Sample Problem: Express 4.3 cm
in inches.
4.3 cm x
1 in
=
2.54 cm
Conversion Factor Method
Sample Problem: Express 4.3 cm
in inches.
4.3 cm x
1 in
=
2.54 cm
Conversion Factor Method
Sample Problem: Express 4.3 cm
in inches.
4.3 cm x
1 in
=
2.54 cm
Conversion Factor Method
Sample Problem: Express 4.3 cm
in inches.
4.3 cm x
1 in
= 1.69
2.54 cm
Conversion Factor Method
Sample Problem: Express 4.3 cm
in inches.
4.3 cm x
1 in
= 1.69 in
2.54 cm
Conversion Factor Method
You can also use two or more
conversion factors together:
Conversion Factor Method
You can also use two or more
conversion factors together:
Example: How many seconds are
in 2.0 years?
Conversion Factor Method
You can also use two or more
conversion factors together:
Example: How many seconds are
in 2.0 years?
First, think about what
unit factors you can use.
Conversion Factor Method
Example: How many seconds are in 2.0
years?
2.0 yrs x
Conversion Factor Method
Example: How many seconds are in 2.0
years?
2.0 yrs x 365 days
1 yr
Conversion Factor Method
Example: How many seconds are in 2.0
years?
2.0 yrs x 365 days
1 yr
Conversion Factor Method
Example: How many seconds are in 2.0
years?
2.0 yrs x 365 days
1 yr
Conversion Factor Method
Example: How many seconds are in 2.0
years?
2.0 yrs x 365 days x
1 yr
Conversion Factor Method
Example: How many seconds are in 2.0
years?
2.0 yrs x 365 days x 24 hrs
1 yr
1 day
Conversion Factor Method
Example: How many seconds are in 2.0
years?
2.0 yrs x 365 days x 24 hrs
1 yr
1 day
Conversion Factor Method
Example: How many seconds are in 2.0
years?
2.0 yrs x 365 days x 24 hrs
1 yr
1 day
Conversion Factor Method
Example: How many seconds are in 2.0
years?
2.0 yrs x 365 days x 24 hrs x
1 yr
1 day
Conversion Factor Method
Example: How many seconds are in 2.0
years?
2.0 yrs x 365 days x 24 hrs x 60 min
1 yr
1 day
1 hr
Conversion Factor Method
Example: How many seconds are in 2.0
years?
2.0 yrs x 365 days x 24 hrs x 60 min
1 yr
1 day
1 hr
Conversion Factor Method
Example: How many seconds are in 2.0
years?
2.0 yrs x 365 days x 24 hrs x 60 min
1 yr
1 day
1 hr
Conversion Factor Method
Example: How many seconds are in 2.0
years?
2.0 yrs x 365 days x 24 hrs x 60 min x
1 yr
1 day
1 hr
Conversion Factor Method
Example: How many seconds are in 2.0
years?
2.0 yrs x 365 days x 24 hrs x 60 min x 60 sec
1 yr
1 day
1 hr
1 min
Conversion Factor Method
Example: How many seconds are in 2.0
years?
2.0 yrs x 365 days x 24 hrs x 60 min x 60 sec
1 yr
1 day
1 hr
1 min
Conversion Factor Method
Example: How many seconds are in 2.0
years?
2.0 yrs x 365 days x 24 hrs x 60 min x 60 sec
1 yr
1 day
1 hr
1 min
Conversion Factor Method
Example: How many seconds are in 2.0
years?
2.0 yrs x 365 days x 24 hrs x 60 min x 60 sec =
1 yr
1 day
1 hr
1 min
Conversion Factor Method
Example: How many seconds are in 2.0
years?
2.0 yrs x 365 days x 24 hrs x 60 min x 60 sec = 63,072,000 sec
1 yr
1 day
1 hr
1 min
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