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