*  Conversion factors, unit conversions, dimensional analysis?  
Practice setting up simple and complex unit conversion problems.  

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Simple Conversion Factors & 
One Step Unit Conversion Problems		 Multi Step
Dimensional Analysis setups
1.  Convert 500. mL to liters 2. Convert 345 mL to gallons
3.  Convert 23.4 L to mL 4. Convert 250. Calories to joules
5.  Convert 2.40 pounds to grams 6. Convert 2.25 tons to kilograms
7.  Convert 12,599 meters to millimeters 8.  Convert 0.0000321 tons to grams
9.  Convert 16.5 days to hours 10.  Convert 5.00 miles to inches
11. Convert 201 kilograms to grams 12.  Convert 17.5 years to days
13.  skip this one 14.  Convert 22.9 cm to miles
15.  Convert 150. grams to pounds 16.  Convert 10.0 years to seconds
17.  Convert 37.2 meters to centimeters 18.  Convert  12.4 horses to mice*

 Below this point the problems are much more complicated, and would require more chemistry because the units are only taught later in the year.  They would be good practice for the midterm and the third quarter exam.  
19.  Convert 467 liters He to atoms of He at STP 20.  Convert 450.2 g xenon gas to liters at STP
21.  Convert 655 g mercury to moles Hg 22.  Convert 3.04 atm to kilo-Pascals
23.  Convert 255.8 kPa to mm Hg 24.  Convert 22.4 L oxygen gas to moles at STP

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 




1.  Convert 500. mL to liters  


500. mL
1		   X    1 Liter
1000 mL		  =   0.500 Liters

3 significant figures, conversion factors always have unlimited SF

 

 

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3. Convert 23.4 L to mL

 

 

23.4 L
1

  X  

1000 mL
1 L

  =   

 23,400 mL

3 significant figures, conversion factors always have unlimited SF

 

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5. Convert 2.40 pounds to grams

 

2.40 pounds
1

  X  

454 grams
1 pound

  =   

 1090 g

3 significant figures, conversion factors always have unlimited SF

 

 

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23. Convert 255.8 kPa to mm Hg


255.8 kPa
1

  X  

760 mm Hg
101.3 kPa 

  =   

 1919 mm Hg

4 significant figures, conversion factors always have unlimited SF

 

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21. Convert 655 g mercury to moles Hg


655 g Hg
1

  X  

1 mole Hg
201 g Hg

  =   

 3.26 moles Hg

3 significant figures, conversion factors always have unlimited SF

 

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7. Convert 12,599 meters to millimeters


12,599 meters
1

  X  

1000 mm
1 meter

  =   

 12,599,000 mm

5 significant figures, conversion factors always have unlimited SF

 

 

 

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13. skip this one

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


 

12. Convert 17.5 years to days


17.5 years
1

  X  

365 days
1 year

  =   

 6390 days

3 significant figures, conversion factors always have unlimited SF

 

 

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24. Convert 22.4 L oxygen gas to moles at STP


22.4 Liters
1

  X  

1 mole
22.4 Liters

  =   

 1.00 moles

3 significant figures, conversion factors always have unlimited SF

 

 

 

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22. Convert 3.04 atm to kilo-Pascals

 

 

3.04 atm
1

  X  

101.3 kPa
1 atm

  =   

308 kPa

3 significant figures, conversion factors always have unlimited SF

 

 

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2. Convert 345 mL to gallons

 

 

345 mL
1

  X  

1 Liter
1000 mL

   X   1 quart
0.946 Liter

  X   

 1 gallon
4 quarts		   =   345
3796		   =  

0.909 gallons

3 significant figures, conversion factors always have unlimited SF

 

 

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4. Convert 250. Calories to joules


250. Calories
1

  X  

1000 cal
1 Calories

   X   4.18 Joules
1 cal		   =   1045000
1		   =     1,050,000 Joules

 

3 significant figures, conversion factors always have unlimited SF

 

 

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6. Convert 2.25 tons to kilograms


2.25 tons
1

  X  

2000 pounds
1 ton

   X   454 grams
1 pound

  X   

 1 kilogram
1000 grams		   =   2043000
1000		  =   2040 kg


3 significant figures, conversion factors always have unlimited SF

 

 

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8. Convert 0.0000321 tons to grams


0.0000321 tons
1

  X  

2000 pounds
1 ton

   X   454 grams
1 pound		   =    29.1 grams


3 significant figures, conversion factors always have unlimited SF

 

 

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19. Convert 467 Liters He to atoms of He at STP

 

467 Liters He
1

  X  

1 mole He
22.4 Liters He

   X   6.02 x 1023 atoms He
1 mole He		  =   2811.034 x 1023
22.4

 

 
  =   126 x 1023 atoms 126 x 1023 atoms =  1.26 x 1025 atoms

 

3 significant figures, conversion factors always have unlimited SF

 

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10. Convert 5.00 miles to inches


 

5.00 miles
1

  X  

5280 feet
1 mile

   X   12 inches
1 foot		   =    316800 inches    = 317,000 inches

 

3 significant figures, conversion factors always have unlimited SF

 

 

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20. Convert 450.2 g xenon gas to liters at STP

 

 

450.2 g Xe
1

  X  

1 mole Xe
131 g Xe

   X   22.4 L Xe
1 mole Xe		   =    10084.48
131		   =   76.98 Liters

 

4 significant figures, conversion factors always have unlimited SF

 

 

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16. Convert 10.0 years to seconds

10.0 years
1

  X  

365 days
1 year

   X   24 hours
1 day

  X   

 60 minutes
1 hour		   X   60 seconds
1 minute		   =  

315360000 seconds 

 

 

both of these are correct:       315,000,000 seconds  or  3.15 x 108 seconds

 

3 significant figures, conversion factors always have unlimited SF

 

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18. Convert 12.4 horses to mice*


To do such a problem, you need some conversion factors, which I will provide here.
Then, using your units, however silly, you can make proper conversions.

1.0 horse = 3.5 cows             1.2 cows = 7.5 dogs              1.0 dogs = 0.45 cats             1.9 cats = 43 mice

12.4 horses
1

  X  

3.5 cows 
1.0 horse

   X   7.5 dogs
1.2 cows

  X   

 0.45 cats
1.0 dogs		   X   43 mice
1.9 cats		   =  

 6298.425
2.28

  =   2760 mice

 

3 significant figures, conversion factors always have unlimited SF

 

Doing such a "silly" problem will help make sure you understand the dimensional analysis, without using your mind to see through "real" math.  This sort of problem requires you follow the rules of writing units, making sure they all cancel, etc. 

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14. Convert 22.9 cm to miles

 

 

22.9 cm
1

  X 

1 meter
100 cm

   X  1 kilometer
1000 m

  X  

0.621 miles
1 kilometer		   =  14.2209
100,000 		  = 

 

 

 
both are correct          0.0000142209 miles    or  1.42 x 10-4 miles

3 significant figures, conversion factors always have unlimited SF

 

 

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11.  Convert 16.5 days to hours

 

16.5 days
1

  X 

24 hours
1 day

   =  396
1		   = 

 396 days   
 

 

 
16.5 days has 3SF, so the answer needs three also.  
The conversion factor has unlimited sig figs.

 

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11. Convert 201 kilograms to grams

 

201 kg
1

  X 

1000 g
1 kg

   =  201,000 g
1		   = 

 201,000 g   
 

 

 
201 g has 3SF, so the answer needs three also.  
The conversion factor has unlimited sig figs.

 

 

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15.  Convert 150. grams to pounds

 

 150. g
1

  X 

1 pound
454 g

   =  150 pounds
454		   = 

 0.3303964758 pounds =  
 

 

 
0.3303964758 pounds   = 0.330 pounds 

 
150. g has 3SF, so the answer needs three also.  
The conversion factor has unlimited sig figs.

 

 

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17.  Convert 37.2 meters to centimeters

 

 37.2 m
1

  X 

100 cm
1 m

   =  3720 cm
1		   = 

 3720 cm

 

 

 
37.2 m has 3SF, so the answer needs three also. 
The conversion factor has unlimited sig figs.

 

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