Dimensional Analysis Worksheet 1

Chemistry Honors, Gunn High School

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Dimensional Analysis Worksheet 1 Directions: Thoroughly solve the following problems using dimensional analysis. Use this opportunity to review significant figures (or ask for help). Your units must be clearly labeled, when possible find the solution using one linear setup. Please do not do calculations in separate steps. When appropriate, present your answers in exponential notation. I realize that it will take a while to get back into scientific thinking; however, by the end of this worksheet, your memory should be activated. 1. How many gallons are in 1.00 cubic feet?

2. How many teaspoons are in 5.00 gallons of water? (Use kitchen instruments or a cookbook.)

3. A copper penny weighs 3.015 g and contains 95.00% Cu. What is the mass of copper present in 158 pennies?

4. An automobile weighs 1.00 ton and contains about 13.00 % Al and 75.00 % Fe. What is the mass in grams of Al present? What is the volume of iron in liters, if iron has a density of 7.86 g/cm3?

5. A solution of 36.00% sulfuric acid in water has a density of 1.271 g/ml. How many grams of sulfuric acid are needed to make 5.00 L of this solution?

6. The compound silver nitrate contains 63.50 % Ag. If Ag costs $12.00/oz, A. What is the value of the silver in 125.00 g of silver nitrate?

B. How many grams of silver nitrate contain a dollar's ($1.00) worth of Ag?

7. If you are driving at 65.00 miles per hour, what is your speed in kilometers per hour? In feet per second?

8. The aluminum in a package containing 75.00 square feet of kitchen foil weighs approximately 12.00 ounces. Aluminum has a density of 2.70 g/cm3. What is the approximate thickness of the aluminum foil in millimeters? (Use 1 ounce = 28.4 g).

9. Copper has a density of 8.94 g/cm3. If a factory has an ingot of copper with a mass of 125.0 pounds, and the ingot is drawn into wire with a diameter of 0.950 mm, how many feet of wire can be produced?

10. Air at normal temperature and pressures has a density of 1.184 x 10-3 g/cm-3. A. How much does the air weigh in pounds in a room measuring 30.00 ft by 10.00 inches by 41.00 feet by 9.50 ft.? Careful with the UA on this problem. The dimensions could baffle you.

B. What is the volume in cm3 of 1.00 g of air?

11. A typical aerobic walker on a track covers a lap (.250 mile) in about 3.40 min. A champion marathon runner takes about five minutes to cover a mile. If an aerobic walker competed in the Boston marathon (42.16 km), how many minutes would you expect him to finish behind the winner?

12. Oil spreads on water to form a film about 120.0 nm thick. How many square kilometers of ocean will be covered by the slick formed when two barrels of oil are spilled (1 barrel = 31.5 U.S. gallons)?

13. An average human male breathes about 8.50 x 103 L of air per day. The concentration of lead (Pb) in highly polluted urban air is 7.00 x 10-6 g Pb/m3 of air. Assume that 75.00 % of the lead is present as particles less than 1.00 x 10-6 m in diameter and that 50.00 % of the particles below that size are retained in the lungs. Calculate the mass of lead absorbed in this manner in one year by an average male living in this environment.