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3 TIERED DIMENSIONAL ANALYSIS PROBLEMS
SC2 Students will relate how the Law of Conservation of Matter is used to determine chemical
composition in compounds and chemical reactions.
c. Apply concepts of the mole and Avogadro’s number to conceptualize and calculate
• Empirical/molecular formulas,
• Mass, moles and molecules relationships,
• Molar volumes of gases.
d. Identify and solve different types of stoichiometry problems, specifically relating mass
to moles and mass to mass.
DIRECTIONS: Solve each problem using dimensional analysis. Every number must have a unit.
Conversion factors are given below
1yr = 365 days
1 hr = 60 min
1 sec = 1000 msec
1 day = 24 hr
1 min = 60 sec
1 century = 100 yrs
1 decade = 10 yrs
7 days = 1 week
100m=1hm
Conversion Factors that you will need:
1 in = 2.54 cm
1 lb = 16 oz
5 blobs = 7 yerts
1m =1000 mm
264.2 gal= 1 m3
2 yowsers = 13 weezers
1m = 10 dm
20 drops = mL
3 ooga = 110 bleeps
3
100 = 1 m
1mL = 1 cc (cm )
1 dozen = 12 eggs
1 ft = 12 in
1 L = 1000mL
Two fardells = one nook
1 m =100 cm
1 L =1000 cc
Four nooks = one yard
10 m = dam
Density of Water:
Four yards = one hide
1000 m = 1 km
1 g/mL
1 mi = 5,280 ft
1000 kg/m3
0.625 mi = 1 km
18 g H2O = 6.02 x 1023
EASY: (answer 10 correctly)
1.
2.
3.
4.
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6.
7.
8.
9.
How many oz are in 2 pounds (lbs)
How many yowsers are in 4 weezers?
How many years are in 200 days
How many dozens are in 500 eggs
How many mm are in 5 m?
How many cm are in 3 hm?
How many years are in 0.62 decades?
How many oogas are in 25 bleeps?
How many blobs are in 1000 yerts?
10.
11.
12.
13.
14.
15.
How many yerts are in 15 blobs?
How many weezers are in 3 yowsers?
How many bleeps are in 100 oogas?
How many cm are in 500 in?
How many inches are in 0.33 feet?
How many miles will a person run
during a 10 kilometer race?
16. The moon is 250,000 miles away. How
many feet is it from earth?
INTERMEDIATE (answer 8 correctly)
1.
2.
3.
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7.
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9.
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15.
How many hours are in 19 seconds?
How many seconds are in 10 years?
How many centuries are in 7000 minutes?
How many decades are in 8,000,000 seconds?
How many cm are in 14 ft?
How many hours are in 0.25 years
The average Andrew student is in class 330 minutes/day. How many hours/day is this? How many
seconds is this?
How many seconds are there in 1 year?
Calculate the number of feet in a 5-km race
Calculate the number of fardells in eight hides.
Pepsi puts 355 ml of pop in a can. How many drops is this? How many cubic meters is this?
A family pool holds 10,000 gallons of water. How many cubic meters is this?
Lake Allatoona holds 1.3 x 1015 gallons of water. How many liters is this?
How many minutes are in 5 days?
Convert 23.57 pounds to grams.
CHALLANGING (answer 2 correctly)
1.
2.
3.
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9.
Change 60 miles/ hour to _____ft/sec (clue: both miles and hour must be change to other units)
The speed of a sky rocket is measured and found to be 234.9 m/s. What is the rocket’s speed in
km/hr?
Kennesaw uses 1.2 x 109 gallons of water /day . How many gallons per second must be pumped
from the lake every second to supply the city?
Lake Allatoona holds 1.3 x 1015 gallons of water. If just Kennesaw removed water from the lake
and it never rained again, how many days would the water last? Kennesaw uses 1.2 x 109 gallons
of water /day .
How long is 3.63 centuries in milliseconds?
How fast is 70. mph (the estimated average speed, on a good day, around the perimeter – I285) in
meters per second?
If Panama City, FL is 500. km. At 70. mph average speed, how many minutes would it take to
reach Panama City?
The nearest star (Proxima Centauri) is 4.22 light years from Earth. How far is this in feet? (c=
2.9979 x 108 m/s)
Scientists forecast that using solar-sail technology, a spacecraft could be accelerated to 150,000
mph. Taking out the G-force restrictions, and ignoring the minor effects of relativistic physics.
How long would it take a spacecraft to reach Proxima Centauri?
Our star (Sol) has a diameter of 870,000 miles. The average density is 3.15x 10 -3 lb/cm3.
Calculate the sun’s mass in kilograms. (the formula for the volume of a sphere is 4/3r3 )
EQ: How many molecules of water are there in a 5m x 5 m x 5m family pool?