Dimensional Analysis (The Factor Label Method)
THE MOST USEFUL SKILL YOU WILL LEARN FOR SUCCESS IN CHEMISTRY
1. At a meeting, 28 people are each given 3 pens. If there are 8 pens in one package, priced at $1.88 per
package, what is the total cost of giving away pens?
2. An object is traveling at a speed of 7500 centimeters every 1 second. Convert the value to kilometers per
hour.
3. A solid rod of copper measured 12 mm x 2 cm x 1 meter. Convert all the length units to centimeters.
4. Calculate the volume of the copper rod in #3 in cubic centimeters and then calculate its mass based upon
the fact that 1 cubic centimeter has a mass of 8.92 grams.
5. Calculate the number of minutes in the entire month of May.
6. A sign in a Canadian town gives the speed limit at 50 km/hour. What is this speed in cm/second?
7. A chemistry teacher provides each student with 8 test tubes. There are 28 students per class. How many
total test tubes are required for 3 full classes?
8. Near a lake a sign on an old building reads, “Rowboats for rent, $1.75 per hour.” What will it cost to
rent the boat for five hours?
9. In your favorite restaurant, a sandwich you like costs $1.25. If you order two sandwiches, how many
quarters must you pay? How many dimes?
10. A young child is sent to a store with exactly $3.00 to buy donuts. If the donuts on a special sale costs 95
cents per dozen, how many donuts can be bought? Assume the baker will sell individual donuts.
11. 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.
12. Determine the volume that 35.2 grams of carbon tetrachloride will occupy if it has a density of 1.60
grams/cubic centimeter?
13. The density of ethanol is 0.789 grams/cubic centimeter at 20.0 degrees C. What is the mass of 150 cubic
centimeters of this alcohol?
14. A block of lead measures 20 mm x 30 mm x 45 mm. Calculate the length of the sides in cm and then the
mass of the object if the density is 11.34 g/cubic centimeter.
15. A light year is the distance light can travel in one year. If the sun is 150 000 000 km away from the
earth, how many light years is the sun from the earth? Assume that light travels at a speed of 3.0 x
1010cm/s. (Hint: a light year should be the speed of light converted to kilometers/year).