# PREAP CHEMISTRY DIMENSIONAL ANALYSIS WORKSHEET 1 Metric Practice

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PRE-AP CHEMISTRY DIMENSIONAL ANALYSIS WORKSHEET #1

Metric Practice 1. 765 km = _____ mm 2. 3. 45 x 10 -3 kg = ______ng 3. 0. 0239 g = ____ g

Helpful steps: 1. 2. 3. 4. Circle all conversion factors/ratios you see in the problem The number you have not circled can indicate to you where to start. May need to use other conversion factors not listed in problem. If you only have one number, start with it.

1. The acid in an automobile battery (a solution of sulfuric acid) has a density of 1. 2 g/cm 3. What is the mass of 2. 00 x 102 m. L of this acid? 2. 00 x 102 ml 1 cm 3 1. 2 g 1 m. L 1 cm 3 = 240 g

2. If Jules Verne expressed the title of his famous book, Twenty Thousand Leagues under the Sea in basic SI units, what would the title be? (1 league = 3. 45 mi, 1 mi = 1609 m) 20, 000 Leagues 3. 45 mi 1609 m 1 league 1 mi = 1. 11 x 108 =1 x 108 m One Hundred Million Meters under the Sea

3. A few years ago, a cartoon pictured a thief making his getaway, gun in one hand a bucket of gold dust in the other. If the bucket had a volume of 8. 00 qt. and was full of gold whose density is 19. 3 g/cm 3, what was its mass? Comment on the thief's strength. (1. 057 qt = 1 L) 8. 00 qt 1 L 1000 cm 3 19. 3 g 1. 057 qt 1 L 1 cm 3 = 1. 46 x 105 g (about 322 pounds) The thief was very strong!!!!

4. What is the cost in dollars for the nails used to build a fence 125 meters long if it requires 30 nails per meter? Assume that 40 nails are sold per box at a cost of 75 cents per box. 125 m 30 nails 1 box $0. 75 1 m 40 nails 1 box = $70. 31 or since we can’t buy part of a box of nails, $70. 50

5. A light-year is the distance that light can travel in one year. If the sun is 1. 5 x 108 km away, how many light years is the sun from earth? Assume that light travels at a speed of 3. 0 x 1010 cm/s. 1. 5 x 108 km 1000 m 100 cm 1 s 1 min 1 hr 1 day 1 year 1 km 1 m 3. 0 x 1010 cm 60 s 60 min 24 hr 365 day = 1. 6 x 10 -5 years

6. A budding young chemist decided to throw tradition overboard and include time in the metric system. To do this, she kept the unit "day" to refer to the usual 24 -hour time interval we know. She then subdivided the day into centidays, millidays, and microdays. Solve the following problems, rounding them each to three significant digits: A. A 100 yd dash done in 9. 7 s took how many microdays? 9. 7 s 1 min 1 hr 1 day 1 x 106 µday 60 s 60 min 24 hours 1 day = 112 µday

B. A 50 min class period lasts for how many centidays? 50 min 1 hr 1 day 100 cday 60 min 24 hr 1 day = 3. 47 cdays

C. A car going 60 mph goes how many miles per centiday? 60 mi 24 hr 1 day 100 cday = 14. 4 miles/cday

D. What is the velocity of light in miles per milliday if it is 186, 000 mi. /s? 186000 mi 60 s 60 min 24 hr 1 day 1 s 1 min 1 hr 1 day 1 x 103 mday = 1. 61 x 107 mi/mday

E. What is the acceleration of gravity in centimeters per microday 2 if it is 980 cm/s 2 980 cm (60)2 s 2 (60)2 min 2 (24)2 hr 2 1 day 2 1 s 2 1 min 2 1 hr 2 1 day 2 (1 x 106)2µday 2 = 7. 32 cm/ µday 2

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