400 Chemistry Problem Set 3
N. Martel
Solve the following problems, each time, using dimensional analysis. Remember to label
the units in every conversion factor, include the appropriate units in your final answer,
and round for significant figures. Remember, you are expected to memorize all your
metric prefixes and their associated conversion factors. Other ones you might need are
included in the problems (you may have to refer back to previous problems, as they are
only listed once). Others should be common sense or well-known facts.
1. Convert 950 g to kg.
2. Convert 275 mm to cm.
3. Convert 1.0 x 103 mL to L.
4. Convert 25 cm to mm.
5. Convert 0.075 m to cm.
6. Convert 15 kg to mg.
7. Convert 3.25 hours to seconds.
8. Convert 2.5 yards to inches. (Remember, there are 3 feet in 1 yard.)
9. Convert 1.2 years into hours. (Remember, there are 365 days in 1 year.)
10. How many inches are in 15 feet?
11. How many cm are in 2.5 yards? (Remember 1 inch = 2.54 cm.)
12. How many yards are in 255 m?
13. How many yards are in 1.75 miles?
14. How many miles are in 5.0 km?
15. How many nanometers are in 5.50 inches?
16. How many centimeters are in 50,555 micrometers?
17. Convert 7.3x10-3 km to m.
18. Convert 4.7 nm to m.
19. Convert 8.34x106 sec to ksec.
20. Convert 67.5 millimoles to moles.
21. Convert 45.3 kilocalories to calories.
22. Convert 459 µg to cg.
23. Convert 5.75x105 cm to nm.
24. The distance from the Earth to the sun is 93x106 miles. How many km is this?
25. Light travels 186,000 miles per second. How many minutes does it take light to
reach us from the sun?
26. An average human lives to be 70 years old. How many seconds would have
elapsed during this person’s lifetime?
27. The usual aspirin tablet contains 5.0 grains of aspirin. How many mg of aspirin
are in one tablet? (Remember 1 grain = 1.43x10-4 lb, 1 lb = 454 g.)
28. A Japanese car is advertised as having a mileage of 15.0 km/L. Convert this
rating to miles per gallon. (Remember 1 liter = 1.06 quarts, 1 gallon = 4 quarts.)
29. A fathom, when used as a measure of water depth, is defined as 1.8288 m. What
is the depth in fathoms, of Lake Superior, which is 1302 feet deep at maximum
depth?
30. In apothecaries’ measures, 1 scruple = 20 grains, 1 ounce = 480 grains, and 1
gram = 0.03215 ounces. What mass in grams equals 10.0 scruples?
31. Your crosscountry skies are 210. cm long. What is their length in inches?
32. Some owls maintain territories of up to 3.0 acres. How many owls could live in a
wooded area of 20.5 hectares? (Remember, 1 hectare = 2.47 acres.)*
33. Ruth Palladium bought 10.00 acres of land and built a house on 2.00 acres. She
wants to raise sheep on the remaining 8.00 acres. If it takes 0.125 hectares to
raise one sheep, how many sheep can be raised on the 8.00 acres?*
34. How many 3 oz oranges would you need to eat to meet the U.S. recommended
daily allowance of 60.0 mg of vitamin C, if there are 70 mg of vitamin C for
every 100 g of orange? (Remember, 16 oz = 454 g.)*
35. If GASP cigarettes have 5.00 mg of tar per cigarette, and there are 20 cigarettes
per pack, how many packs of cigarettes would you need to smoke to coat your
lungs with 0.50 lb of tar?
36. If GASP cigarettes have 0.400 mg of nicotine per cigarette, and there are 20
cigarettes per pack, how many days would it take you to coat your lungs with
1.000 g of nicotine if you smoke 1 pack per day?
37. You are riding home from a party, and the driver has been drinking. The car is
traveling at 60 mph. Suddenly a child steps into the road. Because the driver has
been drinking, his reaction time has slowed down by 1.0 second. How far toward
the impending accident will the car travel in the 1.0 second that elapses before the
driver begins to hit the brakes?
38. A barrel has a capacity of 5286 in3. How many liters is this?
39. Convert 49.4 lb/ft3 to g/cm3.
40. The speed of sound in air at 20º C is 3.44x102 m/s. What will the speed of an
airplane be in mph when it breaks the sound barrier?
41. The longest tunnel is St. Gotthard, Switzerland-Italy is 10.0 miles and 120. yards
long. How many meters is this?
42. You are in Paris and want to buy some peaches for lunch. The sign in the fruit
stand indicates that peaches cost 4.00 euros per kilogram. Assuming that there
are 1.14 euros to the dollar, calculate what 1.25 pounds of peaches will cost in
dollars.
43. A steel tank has a capacity of 775 in3. How many milliliters is this?
44. The density of osmium is 22.6 g/cm3. If a 1.00 kg cube of osmium has a length of
4.00 cm and a width of 4.00 cm, what is its height?
45. If the Starship U.S.S. Enterprise is traveling at warp factor 1.71, what is its speed
in knots? (Remember, Warp 1.71 = 5 times the speed of light, speed of light =
3.0x108 m/s, and 1 knot = 2000 yards/hr.)
46. Diamonds are measured in carats, where 1 carat = 0.200 g. The density of
diamond is 3.51 g/cm3. What is the volume of a 5.00 carat diamond?
47. You have just received a French cookbook from an exchange student. You want
to make 3 quarts of punch for a party. Will a recipe for 2.5 L of punch make
enough?
48. According to the Guinness Book of Records, the heaviest baby ever born had a
mass of 13.28 kg. How many pounds did the baby weigh?
49. If you heat instant oatmeal 6 days a week (and each 1.6 oz package of cinnamon
and spice oatmeal contains 34 g of carbohydrates), how many ounces of
carbohydrate do you consume? (Remember, 16 oz = 454 grams.)
For additional practice:
Relevant sections in textbook is 1.6
Practice problems are p. 33-34 (33-46)