Conversion Factors

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Name: ________________________
Hour: ____ Date: ___________
Chemistry: Conversion Factors
Below are some conversion factors used in the SI System, and which we will use in this class.
kilo- = 1000
1 kg = 1000 g
1 km = 1000 m
1 kL = 1000 L
centi- = 1/100
milli- = 1/1000
Other Conversions
100 cm = 1 m
1000 mg = 1 g
1000 mm = 1 m
1000 mL = 1 L
1 mL = 1 cm3
1 L = 1 dm3
1 cm = 10 mm
Solve each of the following problems. Show the correct set-up and always use units.
1. Determine the number of mm in 1600 m.
2. Determine the number of m in 1600 mm.
3. Determine the number of mm in 14.3 cm.
4. How many seconds are in 4.3 years?
5. Convert 2875 cm 3 to liters.
6. The density of lead (Pb) is 11.34 g/cm3. Find the density of Pb in kg/dm 3.
7. Convert 5.2 cm of magnesium (Mg) ribbon to mm of Mg ribbon.
8. Convert 0.049 kg sulfur (S) to g of S.
9. Convert 0.020 kg of tin (Sn) to mg of Sn.
10. Convert 150 mg of acetylsalicylic acid (aspirin) to g of aspirin.
11. Convert 2500 mL of hydrochloric acid (HCl) to L of HCl.
12. A metallurgist is making an alloy that consists of 325 g of chromium (Cr) and 2.5 kg of iron (Fe). Find the
total mass of the mixture in kg.
13. How many mL of water (H2O) will it take to fill a 2 L bottle that already contains 1.87 L of H 2O?
14. Convert 150 cm of copper (Cu) wire into mm of Cu wire.
15. Convert 0.5 g of sodium (Na) to kg of Na.
KEY
Chemistry: Conversion Factors
Below are some conversion factors used in the SI System, and which we will use in this class.
kilo- = 1000
1 kg = 1000 g
1 km = 1000 m
1 kL = 1000 L
centi- = 1/100
milli- = 1/1000
Other Conversions
100 cm = 1 m
1000 mg = 1 g
1000 mm = 1 m
1000 mL = 1 L
1 mL = 1 cm3
1 L = 1 dm3
1 cm = 10 mm
Solve each of the following problems. Show the correct set-up and always use units.
1. Determine the number of mm in 1600 m.
 100 cm  10 mm 
6
x mm  1600 m

  1600000 mm or 1.6  10 mm
 1 m  1 cm 
2. Determine the number of m in 1600 mm.
 1 cm  1 m 
x m  1600 mm

  1.6 m
 10 mm  100 cm 
3. Determine the number of mm in 14.3 cm.
 10 mm 
x mm  14.3 cm
  143 mm
 1 cm 
5. How many seconds are in 4.3 years?
 365 days  24 hours  60 min  60 sec 
8


x sec  4.3 years 

  1.36  10 seconds
 1 year  1 day  1hour  1min 
5. Convert 2875 cm 3 to liters.
 1 mL  1L

x L  2875 cm 3 

  2.875 L
3
 1 cm  1000 mL 
6. The density of lead (Pb) is 11.34 g/cm 3. Find the density of Pb in kg/dm 3.
x
kg
g
 11.34
3
dm
cm3
 1kg  1 cm3  1000 mL  1L 
kg




  11.34
3
dm3
 1000 g  1mL  1L  1 dm 
7. Convert 5.2 cm of magnesium (Mg) ribbon to mm of Mg ribbon.
 10 mm Mg 
  52 mm Mg ribbon
x mm Mg  5.2 cm Mg
 1 cm Mg 
8. Convert 0.049 kg sulfur (S) to g of S.
 1000 g S 
  49 g S
x g S  0.049 kg S
 1 kg S 
9. Convert 0.020 kg of tin (Sn) to mg of Sn.
 1000 g Sn  1000 mg Sn 

  20,000 mg Sn or 2.0  10 4 mg Sn
x mg Sn  0.020 kg Sn
 1kg Sn  1 g Sn 
10. Convert 150 mg of acetylsalicylic acid (aspirin) to g of aspirin.
 1 g aspirin 
  0.15 g aspirin (acetylsal icylic acid)
x g aspirin  150 mg aspirin
 1000 mg aspirin 
11. Convert 2500 mL of hydrochloric acid (HCl) to L of HCl.
 1L HCl 
x L HCl  2500 mL HCl
  2.5 L HCl
 1000 mL HCl 
12. A metallurgist is making an alloy that consists of 325 g of chromium (Cr) and 2.5 kg of iron (Fe). Find the
total mass of the mixture in kg.
 1 kg Cr 
  0.325 kg Cr
x kg Cr  325 g Cr
 1000 g Cr 
Total  0.325 kg Cr  2.5 kg Fe
 2.825 kg alloy
13. How many mL of water (H2O) will it take to fill a 2 L bottle that already contains 1.87 L of H2O?
2.00 L bottle
- 1.87 L liquid
0.13 L empty
 1000 mL H2 O 
  130 mL H2 O
x mL H2 O  0.13 L H2 O
 1L H2 O 
14. Convert 150 cm of copper (Cu) wire into mm of Cu wire.
 10 mm Cu 
3
x mm Cu  150 cm Cu
  1500 mm Cu or 1.50  10 mm Cu
 1 cm Cu 
15. Convert 0.5 g of sodium (Na) to kg of Na.
 1kg Na 
  0.0005 kg Na or 5.0  10 -4 kg Na
x kg Na  0.5 g Na
 1000 g Na 
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