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NAME_____________________________________ DATE__________________ 3 TIERED DIMENSIONAL ANALYSIS PROBLEMS SC2 Students will relate how the Law of Conservation of Matter is used to determine chemical composition in compounds and chemical reactions. c. Apply concepts of the mole and Avogadro’s number to conceptualize and calculate • Empirical/molecular formulas, • Mass, moles and molecules relationships, • Molar volumes of gases. d. Identify and solve different types of stoichiometry problems, specifically relating mass to moles and mass to mass. DIRECTIONS: Solve each problem using dimensional analysis. Every number must have a unit. Conversion factors are given below 1yr = 365 days 1 hr = 60 min 1 sec = 1000 msec 1 day = 24 hr 1 min = 60 sec 1 century = 100 yrs 1 decade = 10 yrs 7 days = 1 week 100 m = 1 hm Conversion Factors that you will need: 1 in = 2.54 cm 1 lb = 16 oz 5 blobs = 7 yerts 1m =1000 mm 264.2 gal= 1 m3 2 yowsers = 13 weezers 1m = 10 dm 20 drops = mL 3 ooga = 110 bleeps 3 100 = 1 m 1mL = 1 cc (cm ) 1 dozen = 12 eggs 1 ft = 12 in 1 L = 1000mL Two fardells = one nook 1 m =100 cm 1 L =1000 cc Four nooks = one yard 10 m = dam Density of Water: Four yards = one hide 1000 m = 1 km 1 g/mL 1 mi = 5,280 ft 1000 kg/m3 0.625 mi = 1 km 18 g H2O = 6.02 x 1023 EASY: (answer 10 correctly) 1. 2. 3. 4. 5. 6. 7. 8. 9. How many oz are in 2 pounds (lbs)? 32 oz How many yowsers are in 4 weezers? .6154 yowsers How many years are in 200 days? .547 years How many dozens are in 500 eggs? 41.667 Dz How many mm are in 5 m? 5000 mm How many cm are in 3 hm? 30000 cm How many years are in 0.62 decades? 6.2 years How many oogas are in 25 bleeps? .6818 oogas How many blobs are in 1000 yerts? 714.28 blobs 10. 11. 12. 13. 14. 15. How many yerts are in 15 blobs? 21 yerts How many weezers are in 3 yowsers? 19.5 weezers How many bleeps are in 100 oogas? 3666.67 bleeps How many cm are in 500 in? 1270 cm How many inches are in 0.33 feet? 3.96 in How many miles will a person run during a 10 kilometer race? 6.25 mi 16. The moon is 250,000 miles away. How many feet is it from earth?1,320,000,000 ft INTERMEDIATE (answer 8 correctly) 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. How many hours are in 19 seconds? .005278 hrs How many seconds are in 10 years? 315360000 secs How many centuries are in 7000 minutes? 0.00013309 centuries How many decades are in 8,000,000 seconds? 0.025347 decades How many cm are in 14 ft? 426.72 cm How many hours are in 0.25 years? 2190 hrs The average Andrew student is in class 330 minutes/day. How many hours/day is this? How many seconds is this? 5.5 hours 19800 sec How many seconds are there in 1 year? 31536000 sec Calculate the number of feet in a 5-km race? 16404.1994 ft Calculate the number of fardells in eight hides. Pepsi puts 355 ml of pop in a can. How many drops is this? How many cubic meters is this? A family pool holds 10,000 gallons of water. How many cubic meters is this? Lake Allatoona holds 1.3 x 1015 gallons of water. How many liters is this? How many minutes are in 5 days? 1440 min Convert 23.57 pounds to grams? 10691.17g CHALLANGING (answer 2 correctly) 1. 2. 3. 4. 5. 6. 7. 8. 9. Change 60 miles/ hour to _____ft/sec (clue: both miles and hour must be change to other units) The speed of a sky rocket is measured and found to be 234.9 m/s. What is the rocket’s speed in km/hr? Kennesaw uses 1.2 x 109 gallons of water /day . How many gallons per second must be pumped from the lake every second to supply the city? Lake Allatoona holds 1.3 x 1015 gallons of water. If just Kennesaw removed water from the lake and it never rained again, how many days would the water last? Kennesaw uses 1.2 x 109 gallons of water /day . How long is 3.63 centuries in milliseconds? How fast is 70. mph (the estimated average speed, on a good day, around the perimeter – I285) in meters per second? If Panama City, FL is 500. km. At 70. mph average speed, how many minutes would it take to reach Panama City? The nearest star (Proxima Centauri) is 4.22 light years from Earth. How far is this in feet? (c= 2.9979 x 108 m/s) Scientists forecast that using solar-sail technology, a spacecraft could be accelerated to 150,000 mph. Taking out the G-force restrictions, and ignoring the minor effects of relativistic physics. How long would it take a spacecraft to reach Proxima Centauri? Our star (Sol) has a diameter of 870,000 miles. The average density is 3.15x 10 -3 lb/cm3. Calculate the sun’s mass in kilograms. (the formula for the volume of a sphere is 4/3r3 ) EQ: How many molecules of water are there in a 5m x 5 m x 5m family pool?