Name
Date
Pd
Chemistry – Unit 1 - Worksheet 6
Dimensional Analysis
Use the factor-label method to make the following conversions. Remember to use the
appropriate number of sf’s in your answer.
Part 1
1. 74 cm x
1m
 0.74 meters
100 cm
2. 8.32 x 10-2 kg x
1000 g
 83.2 grams
1kg
3. 55.5 mL x
1cm 3
 55.5 cm 3
1mL
4. 0.00527 cal x
1kcal
 5.27 x 10 6 kcal
1000 cal
10 6  m
 9.52 x 10 2 micrometers (  m)
1m
5. 9.52 x 10-4 m x
6. 41.0 mL x
1L
 0.0410 L
1000 mL
7. 6.0 x 10-1 g x
10 3 mg
 6.0 x 10 2 mg
1g
8. 8.34 x 10-9 cg x
9. 5.0 x 103 mm x
10.
1 day x
11.
5 x 104 mm x
1g
2
10 cg
 8.34 x 10 11 g
1m
10 3 mm
 5.0 m
24 h 60 min 60 sec
x
x
 86,400 sec onds
1 day
1h
1 min
1m
3
10 mm
12.
1 km
3
10 m
 5 x 10  2 km
3
9
9.1 x 10-13 kg x 10 g x 10 ng  9.1 x 10 1 ng
1 kg
13.
x
1 year x
Modeling Chemistry
1g
365 days 24 hr
x
 8760 hr
1 year 1 day
1
U 1 ws 6 v2.0
14.
4.22 cL x
10 3 mL
 4.22 x 101 mL
2
1L
10 cL
15.
1 mile x
5280 ft 12 in
x
 63,360 in
1 mile
1 ft
1L
x
Part 2
1. How many nickels could you trade for 250 yen? $1 = 150 yen.
250 yen x
20 nickels
$1
x
 33.3 nickels 33 nickels(2 sig. figs.)
150 yen
$1
2. Your school club sold 600 tickets to a chili supper. The chili recipe for 10 persons requires 2
teaspoons of chili powder? How many teaspoons of chili powder will you need altogether?
600 tickets x
1 person 2 tsp chili
x
 120 tsp chili powder
1ticket 10 persons
3. How many cups of chili powder will you need? Three teaspoons (tsp) equal one tablespoon
(TBS) and 16 tablespoons equal 1 cup.
120 tsp x
1TBS 1cup
x
 2.5 cups chili powder
3 tsp 16 TBS
4. How many seconds in a year? (assume 30 days in an average month)
1 yr x
12 mo 30 days 24 h 60 min 60 sec
x
x
x
x
 3.11 x 10 7 seconds
1 yr
1 mo
1 day
1h
1 min
5. Chloroform is a liquid once used for anesthetic. What is the volume of 5.0 g of chloroform.
The density of chloroform 1.49 g/mL
5.0 g x
1 mL
 3.36 mL
1.49 g
6. How many inches long is a football field?
100 yds x
3 ft 12 in
x
 3600 in
1 yd 1 ft
7. How many m3 is 4.6 cm3.? Express your answer in scientific notation.
4.6 cm3 x
1m3
2
10 cm
3
 4.6 x 10  2 m 3
8. How many mg is 59.0 kg? Express your answer in scientific notation.
Modeling Chemistry
2
U 1 ws 6 v2.0
59.0 kg x
10 3 g 10 3 mg
x
 5.9 x 10 7 mg
1 kg
1g
Modeling Chemistry
3
U 1 ws 6 v2.0