Chemistry
Mrs. Westphal
Name:_________________________________
Date:________________
Dimensional Analysis
Complete the following problems using conversion factors. Remember your units, watch sig
figs, and SHOW YOUR WORK!
1. Sodium hydrogen carbonate, NAHCO3 known commercially as baking soda, reacts with
acidic materials such as vinegar to release carbon dioxide gas. An experiment calls for
0.348kg of sodium hydrogen carbonate. Express this mass in milligrams.
2. The acidic constituent in vinegar is acetic acid. A 10.0mL sample of a certain vinegar
contains 483mg of acetic acid. What is the mass of acetic acid in milligrams?
3. The different colors of light have different wavelengths. The human eye is most
sensitive to light whose wavelength is 555nm (greenish-yellow). What is this
wavelength in millimeters?
4. Water consists of molecules (groups of atoms). A water molecule has two hydrogen
atoms, each connected to an oxygen atom. The distance between any one hydrogen
atom and the oxygen atom is 0.096nm. What is this distance in millimeters?
5. An aquarium has a rectangular cross section that is 47.8inches by 12.5inches and it is
19.5inches tall. How many gallons does the aquarium contain? One gallon = 231in 3
Chemistry
Mrs. Westphal
Name:_________________________________
Date:________________
6. How many grams are there in 3.58 tons? (remember, you can do conversions in multiple
steps)
7. How many liters are there in 8.46gallons?
8. The first measure of sea depth was made in 1840 in the Central South Atlantic, where a
plummet was lowered 2425 fathoms. What is the depth in meters? (1 fathom = 6 feet,
1 meter = 3.28ft)
9. The estimated amount of recoverable oil from a field at Prudhoe Bay, Alaska is 9.6 x 10 9
barrels. What is the amount of oil in liters? (1 barrel = 42 gallons)
10. An atom of gold has a mass of 3.271 x 10-22g. How many atoms of gold are in 5.00g of
gold?
Chemistry
Mrs. Westphal
Name:_________________________________
Date:________________
11. Melissa’s rich uncle left her 2.0 tons of gold in his will. Gold sells for $500.00 per ounce.
How much is this gift of gold worth?
12.A sample of gold has a mass of 1.245 kilograms. The price of gold is currently priced on
the New York futures market at $6.41 per ounce. What is the value of the gold?
13. If you are going 50 miles per hour, how many feet per second are you traveling?
14. A new computer has 528M Bytes. How many Centi-Bytes is this?
15. Jordon has a caterpillar that is 2.5cm long. How long is the caterpillar in µm?
Chemistry
Mrs. Westphal
Name:_________________________________
Date:________________
16. Suppose someone offered to give you a 2 gallon bucket filled with gold if you carry the
bucket of gold up a flight of stairs. But if you fail to carry the bucket up the flight of
stairs, you must stay in Chemistry forever. Would you accept the offer? The density of
gold is 19.3 g/cm3.
17. How many seconds are in a day?
18. What is the density of mercury (13.6 g/cm3) in units of kg/m3?
19. French cooks usually weigh ingredients. A French recipe uses 225 grams of granulated
sugar. How many cups are needed if there are 2 cups of sugar per pound of sugar?
Round to the nearest cup.
20. You're throwing a pizza party for 15 and figure each person might eat 4 slices. How
much is the pizza going to cost you? You call up the pizza place and learn that each pizza
will cost you $14.78 and will be cut into 12 slices. You tell them you'll call back. Do you
have enough money?