Chem Com Dimensional Review
1 hr = 60 min
1 min = 60 sec
1 inch = 2.54 cm
7 days = 1 week
24 hrs = 1 day
1 m = 100 cm
1 gal = 3.79 L
264.2 gal = 1 cubic meter
1 mi = 5,280 ft
1 kg = 1000 g
1 lb = 16 oz
20 drops = 1 mL
365 days = 1 yr
52 weeks = 1 yr
2.54 cm = 1 in
1 L = 1000 mL
0.621 mi = 1.00
km
1 yd = 36 inches
1 kg= 2.2lbs
1 mL = 1 cm3
Use dimensional analysis to solve the following problems. All conversion factors are
provided in the box above, or within the problem.
1. The average student spends 0.0372 years complaining about chemistry class.
How many hours are they complaining for?
2. Dr. Dre weighs 183 lbs. What is his weight in grams?
3. Kobayashi claims he can eat 58.5 hotdogs in 10 minutes (58.5 hotdogs = 10
minutes) At this pace, how many hotdogs can he eat in 1 hour?
4. The music room’s doorway is 4 feet wide. Will a 1.17 meter wide piano fit through
the door?
5. At his top speed, Usain Bolt can run at 10.44 meters per second. If he could
maintain that speed, how long would it take him to run 1 mile? (1 mile = 1600
meters)
6. Kobe Bryant never directly times his morning run. Instead, he runs to 3 playlists.
If each playlist is 5 songs (1 playlist = 6 songs) and each song is 3.5 minutes long,
how long (in minutes) is Kobe running for?
7. Mr. J used to drive a Honda Accord, that had a fuel economy of 28 miles per gallon
(28 miles = 1 gallon). He now drives a Honda Civic, that has a fuel economy of 40
miles per gallon (40 miles = 1 gallon). If gas costs $4.25 per gallon ( 4.25dollars = 1
gallon), how much money does he save on a 300 mile trip?
8. Mr. J wants to go on a diet. His Dr. tells him not to eat more than 1200 calories per
day. Mr. J has been doing a great job on his diet, but while he travels to London for a
Chemistry Conference dinner, he realizes they don’t measure their food in calories,
but in joules. If Mr. J has already eaten 928 calories, can he eat a 1337 joule meal
without going over his 1200 calorie diet? (4.18 joules = 1 calorie)