Dimensional Analysis Dimensional Analysis – The process of solving problems using conversion factors to convert measurements from givens to usable quantities. Factor-Label method. This process is sometimes called the Factor-Label method.

Dimensional Analysis The Factor-Label method requires us to use ratios equal to one. These are called  Conversion Factors EX. 24 hrs = 1 day 12 inches = 1 foot 6.02 x atoms = 1 mole

Dimensional Analysis The Main Rule  Always deal with the units 1st then the numbers that match the units. Steps  1. Determine the Given or Starting Value. 2 Write the given (include units) as fraction (Place over 1) 3. Determine the unit that needs to be cancelled and place in the appropriate location in the factor- label table. 4. Use the matching conversion factor to get to desired units. 5. Repeat until you reach your answer with the correct units.

Dimensional Analysis Example 1. 20,000. ft = _______________ miles 20,000 ft1 mile 15,280 ft = miles

Dimensional Analysis 1.00 second1 minute1 hour1 day 160 seconds60 minutes24 hours 2. How many days are in 1.00 seconds? = 1.16 x days

Dimensional Analysis Conversion Factors English to Metric English to English 1 inch = 2.54 cm 12 inch = 1 ft 1 lbs = 454 g 5280 ft = 1 mile 2.2 lbs = 1 kg2000 lbs = 1 ton 1 gal = 3.79 L16 oz = 1 lbs days = 1 y days = 1 y4 qts = 1 gal 3600 s = 1 hr 3600 s = 1 hr 4 cups = 2 pints = 1 qt

Factor Label and the metric system Use of the metric line ( king hecto Died drinking chocolate milk ) is the easiest conversion technique, however, we can use factor label just as easy. Convert the following in your notes using the factor label method. ( Complete them before the song is over. ) 1) 100 cm  ____m 2) m  ____mm 3) 1000 g  ____ Mg 4) 342 μs  ____ s  ____ hours 5) ml  _____ dl