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Chapter 1 Measurements

Chapter 1 Measurements. Using Conversion Factors. Initial and Final Units. 1. A person has a height of 2.0 meters. What is that height in inches? Initial unit = m Final unit = _______

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Chapter 1 Measurements

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  1. Chapter 1Measurements Using Conversion Factors LecturePLUS Timberlake

  2. Initial and Final Units 1. A person has a height of 2.0 meters. What is that height in inches? Initial unit = m Final unit = _______ 2) Blood has a density of 0.05 g/mL. If a person lost 0.30 pints of blood at 18°C, how many ounces of blood would that be? Initial = pints Final unit = _______ LecturePLUS Timberlake

  3. How many minutes are in 2.5 hours? Initial unit 2.5 hr Conversion Final factor unit 2.5 hr x 60 min = 150 min 1 hr cancel Answer (2 SF) LecturePLUS Timberlake

  4. Learning Check CF1 A rattlesnake is 2.44 m long. How long is the snake in cm? 1) 2440 cm 2) 244 cm 3) 24.4 cm LecturePLUS Timberlake

  5. Solution CF1 A rattlesnake is 2.44 m long. How long is the snake in cm? 2) 244 cm 2.44 m x 100 cm = 244 cm 1 m LecturePLUS Timberlake

  6. Learning Check CF2 How many seconds are in 1.4 days? Unit plan: days hr min seconds 1.4 days x 24 hr x ?? 1 day LecturePLUS Timberlake

  7. Solution CF2 Unit plan: days hr min seconds 1.4 days x 24 hr x ?? 1 day 2 SF Exact 1.4 day x 24 hr x 60 min x 60 sec 1 day 1 hr 1 min = 1.2 x 105 sec LecturePLUS Timberlake

  8. Unit Check What iswrongwith the following setup? 1.4 day x 1 day x 60 min x 60 sec 24 hr 1 hr 1 min LecturePLUS Timberlake

  9. Unit Check 1.4 day x 1 day x 60 min x 60 sec 24 hr 1 hr 1 min Units = day2/hr2Not the final unit needed LecturePLUS Timberlake

  10. Learning Check CF3 An adult human has 4650 mL of blood. How many gallons of blood is that?Unit plan:mL qt gallon Equalitites: 1 quart = 946 mL 1 gallon = 4 quarts Your Setup: LecturePLUS Timberlake

  11. Solution CF3 Unit plan:mL qt gallon Setup: 4650 mL x 1 qt x 1 gal = 1.23 gal 946 mL 4 qt 3 SF 3 SF exact 3 SF LecturePLUS Timberlake

  12. Steps to Problem Solving • List 4 or more things to remember when you are getting ready to work a problem. • Compare your list with another student. • Add to your list, if necessary. LecturePLUS Timberlake

  13. Steps to Problem Solving • Read problem • Identify data • Write down a unit plan from the initial unit to the desired unit • Select conversion factors • Change initial unit to desired unit • Cancel units and check • Do math on calculator • Give an answer using significant figures LecturePLUS Timberlake

  14. A friend needs to know the length of a ski pole in mm. The length is given in feet. Write a short paragraph of 3 to 4 complete sentences describing how you would change from one unit to the other. (Don't use any numbers at this time.) Read your paragraph to a neighbor. LecturePLUS Timberlake

  15. Learning Check CF4 If the ski pole is 3.0 feet in length, how long is the ski pole in mm? LecturePLUS Timberlake

  16. Solution CF4 3.0 ft x 12 in x 2.54 cm x 10 mm = 1 ft 1 in. 1 cm LecturePLUS Timberlake

  17. Learning Check CF5 If your pace on a treadmill is 65 meters per minute, how many seconds will it take for you to walk a distance of 8450 feet? LecturePLUS Timberlake

  18. Solution CF5 Initial 8450 ft x 12 in. x 2.54 cm x 1 m 1 ft 1 in. 100 cm x 1 min x 60 sec = 2400 sec 65 m 1 min final (2 SF) LecturePLUS Timberlake

  19. Using Percent (%) % = Parts x 100 Whole % = Number (%) of Items x 100 100 Items LecturePLUS Timberlake

  20. Percent (%) as a Conversion Factor • Select a unit (mass, volume, etc.) • Write the % value in the numerator • Write 100 of the same unit for the denominator = 25 unit of mass of sugar 100 unit of mass of candy LecturePLUS Timberlake

  21. Example: A candy is 25% (by mass) sugar. Select a unit of mass in grams 25 g sugar and 100 g candy 100 g candy 25 g sugar in milligrams 25 mg sugar and 100 mg candy 100 mg candy 25 mg sugar LecturePLUS Timberlake

  22. Learning Check CF6 Sea water is 3.1%by mass salt (NaCl). Write the factors for the % using (1) kg and (2) lb (1) _______________ and ______________ (2) _______________ and ______________ LecturePLUS Timberlake

  23. Solution CF6 Sea water is 3.1% salt (NaCl). Write factors for % using (1) kg and (2) lb (1) 3.1 kg NaCl and 100 kg sea water 100 kg sea water 3.1 kg NaCl (2) 3.1 lb NaCl and 100 lb sea water 100 lb sea water 3.1 lb NaCl LecturePLUS Timberlake

  24. Learning Check CF7 How many lb of sugar are in 120 g of candy if the candy is 25% (by mass) sugar? LecturePLUS Timberlake

  25. Solution CF7 How many lb of sugar are in 120 g of candy if the candy is 25%(by mass) sugar? % factor 120 g candy x 1lb candy x 25 lb sugar 454 g candy 100 lb candy = 0.067 lb sugar LecturePLUS Timberlake

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