Dimensional
Analysis (FactorLabel Method)

Practice Problems
Level 3 Answers

Use dimensional analysis
in solving each of the following problems.

1. Convert
32.5 oz to its equivalent in cg.

2. Convert
3.55 yd to its equivalent in cm.

3. Convert
143.55 mL to its equivalent in pints.

4. Convert
a speed of 35.8 mi/hr to its equivalent in m/s.

5. Convert
a density of 13.6 g/mL to its equivalent in lb/ft^{3}.

6. A mole
of hydrogen atoms contains 6.02 X 10^{23} atoms and occupies 22.4
L. How many hydrogen atoms are contained in 25.00 mL of this gas?

7. What volume
of hydrogen would contain 4.5 X 10^{18} hydrogen atoms? How
many moles of hydrogen would this be?

8. A molecule
of hydrogen moves at a speed of 115 cm/s. How long will it take to
travel the length of a football field (100 yd long)?

9. The speed
of light is 3.0 X 10^{10} cm/s. Express this in mi/hr.

10. A sample
of sea water contains 0.075 g of sodium chloride per mL of solution. How
many moles of sodium chloride are there per L of this solution? A mole
of sodium chloride is equivalent to 58.5 g of sodium chloride.

11. A doctor
orders that a patient recieve 1.5 X 10^{3} mole of sodium chloride.
The only solution available contains 1.00 g per 100 mL of solution.
A mole of sodium chloride is equivalent to 58.5 g of sodium chloride.
How much of this solution should the nurse give the patient?

12. A sample of air
contains 2.33 X 10^{4} mg of lead per mL of gas. This air
passes through an office, the volume of which is 3.25 X 10^{4} L.
Seven people normally work in this office. How many μg of lead
will each person in the office recieve from this sample of air?
