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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 946mL = 2,459.6mL 1 1 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 8,135.6mL 1 1 946mL = 8,135.6mL 946mL 8.6 qts 3. Convert 115.2 oz to mL 115.2 oz 1qt 1 32 oz 946mL 1 qt = 108,979.2 32 3,405.6 4. Convert 2.3 g to Liters 2.3g 4 qts 946mL 1 1gal 1qts = 1L 8,703.2 1,000mL 1,000 8.7L 5. Convert 8.42 L to oz 8.42L 1 1,000mL 1L 1qt 946mL = 32 oz 269,440 1qt 946 284.820296oz Go to http://science.widener.edu/svb/tutorial/ chose #7 “Converting Volume” and do 5 more in the space provided. 1. Convert _________ 946mL to _________ qts 946mL 1qt 946 1 946mL 946 = 1qt 2. Convert _________ 8797.8mLto _________ qts 8797.8 1qt 1 946mL = 8,797.8 946 9.3qts 3. Convert _________ 316.8oz to _________ L 316.8oz 1qt 946mL 1 32oz 1qt 4. Convert _________ 1.02g to _________ L 1.02g 4qts 946mL 1 1g 1qt = 1L 299,692.8 32,000 1,000mL = 1L 3,859.68 1,000mL 1,000 9.3654L 3.85968L 5. Convert _________ 8892.4mLto _________ qts 8892.4mL 1qt 8892.4 1 946mL 946 = 9.4qts
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