Dimensional Analysis Worksheet
Chemistry I
1. In the United States, cigarettes are smoked at the rate of 2.0 X 10 4 cigs per
second. At this rate, how many are smoked in one day?
1.7 X 109 cig/day
2. A day on Mars is 8.864 X 104 seconds long, and a year is 5.935 X 107
seconds long.
a. How many earth days are there in one Mars day? 1.026 EDay/ MDay
b. How many earth days are there in one Mars year? 6.869x102 EDay/Myear
3. When the Pharmacopoeia of London was compiled in 1618, the troy system
of measure was used to prepare medicine. Among the units used were:
20 grains = 1 scruple
3 scruples = 1 drachm
8 drachms = 1 ounce
12 ounces = 1 pound
Thus,
a. 12.05 pounds = ___1157____________ drachms
b. 25.0 drachms = _____0.260__________ pounds
c. 25.0 drachms = ______3.12_________ ounces
4. In November 1937, a massive iceberg broke loose from the Anarctic ice
mass and floated free into the open ocean. The chunk of ice was estimated to
be 98 miles long, 25 miles wide, and over 750 feet thick.
a. A typical backyard swimming pool contains 24,000 gallons of water. How
many of these pools could you fill from the iceberg? Assume the iceberg is a
rectangular block with these dimensions and that it consists of pure water only.
1.6 x1010 pools
b. Estimate the mass of the iceberg in Kilograms to two significant figures.
(1ft3 = 28.3 L)
1.4 x 1015 kg
5. In Germany, nutritional information is given in kilojoules instead of nutritional
calories. (1 nutritional calorie = 1 kcal) A packet of Rindfleisch – Suppe (meat
soup) has the following information:
250 mL of prepared soup = 235 kJ
A packet of the same soup sold in the U.S. would have the same nutritional
information in kcals per cup. How many nutritional calories would be quoted in a
cup of the prepared soup? There are 2 cups in a pint, and 4.184 Joules in a
calorie.
53 kcal/cup