Dimensional Analysis Practice Worksheet

Dimensional Analysis Practice Worksheet
Complete the assignment on Unit Analysis. This method is very
important to your Chemistry coursework so make sure that you
understand and can do all problems. All answers should be display
correct significant figures (except currency conversions which always
require 2 decimal places).
Metric System Conversions: you need to show your work to prove that you know how to do
dimensional analysis properly.
Remember this format:
"What you what" = "What you are given" x "What you know"
Convert the following (3 marks each- 1 for conversion factor, 1 for work and proper
cancellations and one for the correct answer):
Convert:
1. 527 g to mg.
8.
9.450 hL to cL.
2.
1.05 x 106 µm to m.
9.
5.64 x 103 mm2 to cm2.
3.
2.148 ML to L.
10.
95.2 m3 to cm3.
4. 0.0235 hg to dg.
5.
8.32 x 10-4 daA to mA.
6. 772.5 µs to ms.
7.
306 500 cg to kg.
Metric/Nonmetric Conversions
Given:
2.2 lb.
1.61 km
3.87 L
4.54 L
1.00 atm
=
=
=
=
=
1.00 kg
1.00 mile
1.00 U.S. gal.
1.00 Imp. gal. (Imperial gallon)
101.3 kPa (normal atmospheric pressure)
Convert the following (3 marks each- 1 for conversion factor, 1 for work and proper
cancellations and one for the correct answer):
1. 172 lb. to kg.
2. 648 kPa to atm.
3. 25.899 L to Imp. gal.
4. 1852.4 km to mi.
5. 23.65 U.S. gallons to Imp. gal.
6. 63.0 mi./h to km/h
7. 70.0 mi./h to m/s
8. 35.0 mi./Imp. gal to km/L
Currency Conversions (as of June 10, 2002)
Given:
$1.4541 Can.
=
1.00 Euro (EEC)
$2.2478 Can.
=
£ 1.00 (UK)
$1.5394 Can.
=
$ 1.00 U.S.
$0.1587 Can.
=
1.00 Peso (Mexico)
$1.00 Can.
=
¥ 80.9964 (Japanese Yen)
$0.0314 Can.
=
1.00 Rupee (India)
$1.00 U.S.
=
1223.00 Won (Korea)
Convert the following (3 marks each- 1 for conversion factor, 1 for work and proper
cancellations and one for the correct answer):
1. $300.00 Can. to £.
2. $1025.00 Can. to pesos.
3. $450.00 U.S. to yen.
4. £ 652.23 to Euros.
5. 8225.20 Won to £.
6. 3842.35 Yen to Rupees.
7. 9668.75 Euros to Won.
Black Market Trading Conversions
Given:
1 Ticket
=
2 CDs
5 Buttons
=
3 T Shirts
4 Tickets
=
1 Back Stage Pass
1 CD
=
3 T Shirts
7 Posters
=
3 Buttons
Convert the following (3 marks each- 1 for conversion factor, 1 for work and proper cancellations
and one for the correct answer):
1. 28 Posters to buttons.
2. 10 CDs to tickets.
3. 100 Buttons converted to CDs.
4. 1 Back Stage Pass converted to T Shirts.
5. 280 Posters to Back Stage Passes.
6. 6 Back Stage Passes to buttons.
Complete the following metric system relationships using only whole numbers:
Mm
=
m
km
=
m
hm
=
m
dam =
m
BASE UNIT – metre
dm
=
m
cm
=
m
mm
=
m
µm
=
m
The above set of relationships uses the metre as the base unit. The same set of relationships could be
written for any other unit. For example, 1 kJ = 1000 J or 100 cL = 1 L. In the unit analysis method,
these relationships are manipulated into conversion factors.
Guided Practice:
Dimensional or Unit Analysis
We will convert each of the following by creating conversion factors from metric system
relationships.
One Step
Conversions:
1. Convert 2541 m to km:
2. Convert 0.472 L to mL:
3. Convert 1.02 kg to g: (keep the correct sig. figs.!)
Guided Practice:
Unit Analysis (con’t)
We will convert each of the following by creating conversion factors from metric system
relationships.
Guided Practice:
Dimensional or Unit Analysis
We will convert each of the following by creating conversion factors from metric system
relationships.
Two Step
Conversions:
4. Convert 6.4 x 103 cm to hm:
5. Convert 5.6 ML to mL:
6. Convert 9.5 x 106 cm3 to m3:
Sample Problems:
Unit Analysis Conversions
Solve the problems below, clearly showing all your work precisely. Remember, you will
use this method for most of the calculations you will work through in this course. Correct
answers are shown on the right of each problem. Convert:
Metric
Conversions:
a) 1.426 dag to g
dag x
g =
dag
µL x
L =
µL
b) 4.55 x 108 µL to L
Two Step
Conversions:
a) 15.4 Mg to mg
Mg x
g
Mg
x
cm x
m
cm
x
cm to hm
mg =
g
hm
m
b) 8.2 x 105
=
c) 7.75 x 10-5 m3 to mm3
m3 x (
(
Sample Problems:
mm)3 =
m)3
Unit Analysis Conversions (con’t)
Solve the problems below, clearly showing all your work precisely. Remember, you will
use this method for most of the calculations you will work through in this course. Correct
answers are shown on the right of each problem.
Applications:
Currency
Conversions
Given the following relationships:
$1.00 Can.
= 5.68 Mexican Pesos
$1.00 Can.
= $0.66 U.S.
Convert:
a) $37.25 Can. to $ US
$
Can. x $
U.S. =
$
Can.
b) $50.00 US to Mexican Pesos
$
U.S. x $
Can. x
$
Pesos
U.S.
$
=
Can.

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