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 1m
0.74 meters
1. 74 cm x 100 cm
1000 g
2. 8.32 x 10-2 kg x 1kg
83.2 grams
3. 55.5 mL x 1 cm 3
55.5 cm 3
1mL
4. 0.00527 cal x 1 kcal
5.27 x 10 6 kcal
1000 cal
5. 9.52 x 10-4 m x 10 6 m
9.52 x 10 2 micro meters ( m)
1m
1L
6. 41.0 mL x 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 1g
8.34 x 10 11 g
2
10 cg
9. 5.0 x 103 mm x 1m
5.0 m
10 3 mm
10. 1 day x 24 h
x
60 min
x
60 sec
86,400 sec onds
1 day 1h 1 min
11. 5 x 104 mm x 1m
x
1 km
5 x 10 2 km
3
10 mm 10 3 m
12. 9.1 x 10-13 kg 10 3 g 10 9 ng x
x 9.1 x 10 1 ng
1 kg 1g
13. 1 year x 365 days 24 hr
x 8760 hr
1 year 1 day
Modeling Chemistry 1 U 1 ws 6 v2.0
14. 4.22 cL x 1L 10 3 mL
x 4.22 x 101 mL
10 2 cL 1L
5280 ft 12 in
15. 1 mile x x 63,360 in
1 mile 1 ft
Part 2
1. How many nickels could you trade for 250 yen? $1 = 150 yen.
$1 20 nickels
250 yen x 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?
1 person 2 tsp chili
600 tickets x x 120 tsp chili powder
1 ticket 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.
1TBS 1 cup
120 tsp x x 2.5 cups chili powder
3 tsp 16 TBS
4. How many seconds in a year? (assume 30 days in an average month)
12 mo 30 days 24 h 60 min 60 sec
1 yr x 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
1 mL
5 .0 g x 3.36 mL
1.49 g
6. How many inches long is a football field?
3 ft 12 in
100 yds x x 3600 in
1 yd 1 ft
7. How many m3 is 4.6 cm3.? Express your answer in scientific notation.
1m3
4.6 cm 3 x 2 3
4.6 x 10 2 m 3
10 cm
8. How many mg is 59.0 kg? Express your answer in scientific notation.
10 3 g 10 3 mg
59.0 kg x x 5.9 x 10 7 mg
1 kg 1g
Modeling Chemistry 2 U 1 ws 6 v2.0