# PREAP CHEMISTRY DIMENSIONAL ANALYSIS WORKSHEET 2 1 In

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PRE-AP CHEMISTRY DIMENSIONAL ANALYSIS WORKSHEET #2

1. In the country of Ferdovia, the Ferds thrive on potatoes. The average Ferd earns 142 thrubs (the local currency of Ferdovia) per week and spends approximately 8. 0% of his yearly income on potatoes. If potatoes cost 2 thrubs per pound, how many pounds of potatoes does the average Ferd consume per year? 1 yr 52 wks 142 thrubs 8 pot. thrubs 1 lb pot. 1 yr 1 wk 100 thrubs 2 pot. thrubs = 3. 0 x 102 pounds of potatoes per year 142 thrubs 8 pot. thrubs 1 lb pot. 52 wks 1 wk 100 thrubs 2 pot thrubs 1 yr = 3. 0 x 102 pounds of potatoes per year

2. The volume of seawater on earth is estimated to be 3. 3 x 108 mi 3. Assuming that seawater is 3. 5% sodium chloride, by mass, and that the density of seawater is 1. 03 g/cm 3, what is the approximate mass of sodium chloride dissolved in the seawater on earth, expressed in kg? 1 mile = 5280 ft, 1 meter = 39. 37 inches 3. 3 x 108 mi 3 (5280)3 ft 3 (12)3 in 3 1 m 3 (100)3 cm 3 1. 03 g 3. 5 g. Na. Cl 1 kg Na. Cl 1 mi 3 1 ft 3 (39. 37)3 in 3 1 m 3 1 cm 3 100 g H 2 O 1000 g Na. Cl = 5. 0 x 1019 kg Na. Cl

3. A slow jogger runs a mile in 13 min. Calculate the speed in meters per second. ( 1 mi = 1. 609 km; 1 in = 2. 54 cm) 1 mi. 1. 609 km 1000 m 1 min 13 min. 1 mi. 1 km 60 s = 2. 1 m/s

4. In a city with heavy automobile traffic such as Los Angeles or New York, it was estimated that about 9. 0 tons of lead from exhaust was deposited on or near the highway each day before gasoline became “unleaded”. What is this amount in pounds per month? ( 1 ton = exactly 2000 lb; 1 month = 31 days) 9. 0 tons 2000 lb 31 days 1 day 1 ton 1 month = 5. 6 x 105 lb/month 1 month 31 days 9. 0 tons 2000 lbs 1 month 1 day 1 ton = 5. 6 x 105 lb/month

5. The density of diamond is 3. 51 g/m. L. What is the volume of the Hope diamond if it has a mass of 44. 0 carats? ( 1 carat = 0. 200 g) 44. 0 carats 0. 200 g 1 m. L 1 carat 3. 51 g = 2. 51 m. L

6. Ipecac syrup is used to induce vomiting in people who have swallowed a poison. The syrup contains 7. 0 g of ipecac per 100. 0 m. L, and the recommended dosage is 1 tablespoon, or 15 m. L. Calculate the amount of ipecac in the average dose. 15 m. L 7. 0 g ipecac 100. 0 m. L = 1. 1 g ipecac The use of ipecac is no longer recommended!

7. The LD 50 for a drug is the dose that would be lethal for 50% of the population. LD 50 for sodium cyclamate in mice is 17. 0 grams per kilogram of body weight. Calculate how many cans of diet soda a 70. 0 kilogram human would have to drink to achieve this dose, assuming each can of diet soda contains 0. 096 grams of sodium cyclamate. 70. 0 kg man 17. 0 g SC 1 can diet soda 1 kg man 0. 096 g SC =12, 000 cans!!!!