1. PRE-AP CHEMISTRY DIMENSIONAL ANALYSIS WORKSHEET #2

2. 1 yr 52wks 142 thrubs 8 pot. thrubs 1 lb pot.
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 52wks 142 thrubs 8 pot. thrubs 1 lb pot.
1 yr wk thrubs pot. thrubs
= 3.0 x 102 pounds of potatoes per year
142 thrubs 8 pot. thrubs 1lb pot wks
1 wk thrubs pot thrubs 1 yr

3. 2. The volume of seawater on earth is estimated to be 3. 3 x 108 mi3
2. The volume of seawater on earth is estimated to be 3.3 x 108 mi3. Assuming that seawater is 3.5% sodium chloride, by mass, and that the density of seawater is 1.03 g/cm3, what is the approximate mass of sodium chloride dissolved in the seawater on earth, expressed in kg? 1 mile = 5280 ft, 1 meter = inches
3.3 x 108 mi3 (5280)3ft3 (12)3in3 1 m (100)3cm3 1.03g 3.5gNaCl 1 kg NaCl
1 mi ft (39.37)3in3 1 m cm3 100g H2O 1000g NaCl
= 5.0 x 1019kg NaCl

4. 3. A slow jogger runs a mile in 13 min
3. A slow jogger runs a mile in 13 min. Calculate the speed in meters per second. ( 1 mi = km; 1 in = 2.54 cm)
1 mi km 1000m 1 min
13 min. 1 mi km s
= 2.1 m/s

5. 9.0 tons 2000 lb 31 days 1 day 1 ton 1 month = 5.6 x 105 lb/month
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 lb 31 days
1 day ton month
= 5.6 x 105 lb/month
1 month 31 days 9.0tons lbs
1 month 1 day 1 ton

6. 5. The density of diamond is 3. 51 g/mL
5.The density of diamond is 3.51 g/mL. What is the volume of the Hope diamond if it has a mass of 44.0 carats? ( 1 carat = 0.200g)
44.0 carats g 1 mL
1 carat g
= 2.51 mL

7. The use of ipecac is no longer recommended!
6. Ipecac syrup is used to induce vomiting in people who have swallowed a poison. The syrup contains 7.0g of ipecac per mL, and the recommended dosage is 1 tablespoon, or 15 mL. Calculate the amount of ipecac in the average dose.
15 mL 7.0g ipecac
100.0 mL
= 1.1g ipecac
The use of ipecac is no longer recommended!

8. 7. The LD50 for a drug is the dose that would be lethal for 50% of the population. LD50 for sodium cyclamate in mice is 17.0grams 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 grams of sodium cyclamate.
70.0 kg man 17.0g SC 1 can diet soda
1 kg man g SC
=12,000 cans!!!!