Name:
Date:
Period:
Chemistry
DIMENSIONAL ANALYSIS PROBLEMS
DIRECTIONS: Solve each problem using dimensional analysis. Every number must have
a unit.
Conversion factors are given below.
Conversions Factors
I hr=60min
7 days = 1 week
24 hrs = 1 day
264.2 gal = 1 cubic meter
1 mi=5,280ft
20 drops = I mL
365 days 1 year
1 L= l000mL
0.625mi= 1.00kM
1 L= 1000 cc
I
=
31 L
1.) How many miles will a person run during a 10 kilometer race?
IU I
=
2.) The moon is 250,000 miles away. How many feet is it from earth?
/
x
-c ct
—
It
3.) A family pool holds 10,000 gallons of water, How many cubic meters is this7
I
1O CCC
—I
—
4.) The average A@ârw student is in class 330 minutes/d’. How many hours/day is this? How many
seconds is this?
3()
30
5) Lake Michigaii holds 1.3 x l0’ gallons of water. How many liters is this?
I3MO
‘
6) Pepsi puts 355 ml of soda in a can H6’w many drops is this7
man
7) Chicago uses 1.2 x
gallons of water /day. How many gallons per se
the lake every second to supply the city?
j
ubic mer
)
ed from
3
$
0
J
-
8) Change 60 miles! hour to
k&
X
(clue: both miles and hour must be
gc ç e
3
9) Lake Michigan holds 1.3 x i0 gallons of water. Ifjust Chicago removed water from the lake and it
never rained again, how many days would the water last? Chica o uses 1.2 x I
LO
gallons of water /day.
4
z4
iccv
fl
rn
(Practicing )imeiona1n4ysi
Solve each of the following problems using dim
ensional analysis and showing your
work, including units. Do
your best to solve the problems before
checking the
complete solutions on the back.
1. Sean ran 5 km in 20 minutes in a road race on
Saturday. How many centimeters did
he run?
[DOOv
5
IO
Civr
z
2. In a typical week, Mrs. Cassidy, a mother of
5 school-age children makes 2peanut
butter (p-b) sandwiches using 2 slices of bread
and
grams of peanut butter for
each sandwich.
a. How many slices of bread would she use
in a week for p-b sandwiches?
a
;ck;
cJ
b. If a typical small loaf of bread contains 16
slices of bread, how many of these
loaves would be used for p-b sandwiches for
one week?
ic
x
c. How rnan’ weeks would it take for the Cas
sidv family to consume a 1-lb (454
gram) jar of peanut butter?
-
c4
3rcs
3. A car is traveling at a speed of 50 km/h.
The speed limit on the road is posted as
15 rn/s. A police officer stops the driver for
speeding, but the driver argues that he
did not exceed the speed limit. Did he?
5ZOOL vv
OOy
-1
kr
LJ&5 r
t1-
ee(