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Mastering Dimensional Analysis for Unit Conversions

Learn how to convert units and solve problems using dimensions in Neely's Chemistry Review. Boost your math skills with practical examples and practice questions. Perfect for chemistry students!

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Mastering Dimensional Analysis for Unit Conversions

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  1. Dimensional Analysis USING DIMENSIONS TO • CONVERT UNITS • SOLVE PROBLEMS Neely's Chemistry

  2. Review: Multiplying Fractions • What is 3 A x = ? A • ANS: A’s cancel giving 3as the answer Neely's Chemistry

  3. Review: Multiplying Fractions • What is 12 in 2 ft x = ? 1 ft • ANS: ft cancels giving 2x12/1 = 24 in as the answer Neely's Chemistry

  4. Dimensional Analysis • Uses dimensions or units to solve problems • General Math Rule: Do the same thing with the units that you do with the numbers • Ex: 2 m x 3 m = ? • ANS: 6 m2 since 2 x 3=6 & m x m=m2 Neely's Chemistry

  5. Dimensional Analysis • Read the question carefully • Identify the GIVEN and the UNITS of the UNKNOWN Neely's Chemistry

  6. Dimensional Analysis • Read the question carefully • Identify the GIVEN and the UNITS of the UNKNOWN • Set up the TRACK (“RR Track”) • Cancel units you don’t want & insert units you want. GIVEN = UNITS Neely's Chemistry

  7. How many yards is 54 inches? Neely's Chemistry

  8. How many yards is 56 inches? • GIVEN = 54 in • UNITS for unknown = yd • Track: • Don’t want inches in final answer • What do you know that will get the desired units? • 1 ft = 12 in & 3 ft = 1yd 1 ft 1 yd 54 in = 1.5 yd 12 in 3 ft Neely's Chemistry

  9. Congratulations! Now you have solved a unit conversion problem by dimensional analysis! Neely's Chemistry

  10. Let’s Solve a Word Problem • The density of mercury is 13.5 g/mL. What volume of mercury in L would weigh 2700 g? Neely's Chemistry

  11. The density of mercury is 13.5 g/mL. What volume of mercury in L would weigh 2700 g? 1 L 2700 g 1 mL = 0.20 L 13.5 g 1000 mL • Congratulations! Now you have solved a word problem by dimensional analysis! Neely's Chemistry

  12. Convert 300 mm to cm. Hint – when doing metric conversions, use an equivalency that will take you to home base before heading out to the unit you want to find. 300 mm 1 m 102 cm = ? 103 mm 1 m Neely's Chemistry

  13. PRACTICE : • How many hours in a year? • The Baconater from Wendy’s has 8 strips of bacon. How many strips of bacon are there in 16 Baconaters? • It is 5954 m from KHS to Hwy 59. How many miles is that? (There are 1.61 km in a mile.) Neely's Chemistry

  14. Time to work on the Dimensional Analysis Practice WS Neely's Chemistry

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