Name: __________________
Date:___________
Class: ______
PRE-AP CHEMISTRY
DIMENSIONAL ANALYSIS WORKSHEET
Work all problems by the dimensional analysis method. Show all work.
1. The acid in an automobile battery (a solution of sulfuric acid) has a density of 1.2
g/cm3. What is the mass of 2.00x102 mL of this acid?
2. The recommended adult dose of Elixophylllin®, a drug used to treat asthma, is
6.0 mg/kg of body mass. Calculate the dose in milligrams for a 150-lb person.
(1 lb = 454 g)
3. Years ago, a cartoon pictured a thief making his getaway, gun in one hand and a bucket
of gold dust in the other. If the bucket had a volume of 8.00 qt. and was full of gold
whose density is 19.3 g/cm3, what was its mass? Comment on the thief’s strength.
(1.057 qt = 1L)
4. A horse is found to run 2.00 furlongs in 39.4 seconds. Find the horse’s speed in miles
per hour. (1 mile = 8 furlongs)
5. A light-year is the distance that light can travel in one year. If the sun is 1.5x108 km
away, how many light years is the sun from earth? Assume that light travels at a speed of
3.0x1010 cm/s.
6. A budding young chemistry decided to throw tradition overboard and include time in
the metric system. To do this, she kept the unit “day” to refer to the usual 24-hour time
interval we know. She then subdivided the day into centidays, millidays, and microdays.
Solve the following problems, rounding them each to three significant digits:
A. A 100 yd dash done in 9.7s took how many microdays?
B. A 90 min class period lasts for how many centidays?
C. A car going 60 mph goes how many miles per centiday?
D. What is the velocity of light in miles per milliday if it is 186,000 mi./s?
E. What is the acceleration of gravity in centimeters per microday2 if it is 980 cm/s2?