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# Final NB 2016-2017 Turley

## 26 Dimensional Analysis

26 Dimensional Analysis This is a way to convert from one unit of a given substance to another unit using ratios or conversion units. What this video www.youtube.com/watch?v=aZ3J60GYo6U Let’ look at a couple of examples: 1. Convert 2.6 qt to mL. First we need a ratio or conversion unit so that we can go from quarts to milliliters. 1.00 qt = 946 mL Next write down what you are starting with 2.6 qt Then make you conversion tree 2.6 qt Then fill in the units in your ratio so that you can cancel out the original unit and will be left with the unit you need for the answer. Cross out units, one at a time that are paired, and one on top one on the bottom. 2.6 qt mL qt Now fill in the values from the ratio. 2.6 qt 946 mL 1.00 qt Now multiply all numbers on the top and multiply all numbers on the bottom and write them as a fraction. 2.6 qt 946 mL = 2,459.6 mL 1.00 qt 1.00 Now divide the top number by the bottom number and write that number with the unit that was not crossed out.

1qt=32 oz 1gal = 4qts 1.00 qt = 946 mL 1L = 1000mL 2. Convert 8135.6 mL to quarts 8135.6 ml 1.00 qt 946ml = 8.6 8.6 3. Convert 115.2 oz to mL 115.2 oz 3.6 qts 32 0z 4. Convert 2.3 g to Liters 946 ml = 3405.6 1.00 qts 3406 2.3g 4 qts 1 g 946 ml 1 qt 1L = 8.7032 1000ml 8.7 5. Convert 8.42 L to oz 8.42 L 1000ml 1L 1 qt 946ml 32 oz 1 qt Go to http://science.widener.edu/svb/tutorial/ chose #7 “Converting Volume” and do 5 more in the space provided. = 284.8 285 1. Convert _________ 7.6q to _________ liters 7.6q 946ml 1L = 7.19 1q 1,000ml 2. Convert _________ 8514ml to _________ quarts 8514ml 1qt = 9 946ml 3. Convert _________ 5.3 L to _________ Quarts 5.3 L 1,000 ml 1L 946ml 1q = 5.6 7.19 9 5.6 4. Convert _________ 8.7 L to _________ Ounces 8.7 L 1,000ml 1qt 1L 946ml 32oz 1qt = 294.4 294.4 5. Convert _________ 9460 ml to _________ quarts 9460ml 1q 10 946ml = 10 27

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