Dimensional Analysis
The method is in the units
Let the units do the walking
Dimensional Analysis
Given information
Translator
The Basic idea of conversion factors is to
convert the units that are given in a
problem, to units that is being sought.
Goal
Liras to Dollars
Given information
Translator
How much is 35,000
Goal
Lira in US dollars?
Liras to Dollars
Given information
Translator
Goal
Preview of solution:
35,000 Lira
$
1.00
1,40
0 Lira
=
$ 25.00
Liras to Dollars
Given information
Translator
Start with the given information:
35,000 Lira x
How much is 35,000
Lira in US dollars?
Goal
Liras to Dollars
Given information
Translator
Find the Lira conversion
35,000 Lira x
$
1.00
1,40
0 Lira
How much is 35,000
Lira in US dollars?
Goal
Liras to Dollars
Given information
Translator
Use 1400 Lira = $ 1.00
35,000 Lira x
$
1.00
1,40
0 Lira
How much is 35,000
Lira in US dollars?
Goal
Liras to Dollars
Given information
Translator
Goal
Your answer will be in $
35,000 Lira x
$
1.00
1,40
0 Lira
How much is 35,000
=
Lira in US dollars?
25.00
Liras to Dollars
Given information
35,000 Lira x
Translator
$
1.00
1,40
0 Lira
How much is 35,000
Goal
=
Lira in US dollars?
$ 25.00
Liras to Dollars
Given information
35,000 Lira x
Translator
$
1.00
1,40
0 Lira
How much is 35,000
Goal
=
Lira in US dollars?
$ 25.00
Liras to Dollars
Given information
Translator
Goal
Plug in the conversion factor-
35,000 Lira x
$
1.00
1,40
0 Lira
How much is 35,000
=
Lira in US dollars?
$ 25.00
Liras to Dollars
Given information
Translator
Goal
Lira units cancel in the calculations
35,000 Lira x
$
1.00
1,40
0 Lira
How much is 35,000
=
Lira in US dollars?
$ 25.00
Liras to Dollars
Given information
Translator
Goal
All units cancel except $
35,000 Lira x
$
1.00
1,40
0 Lira
How much is 35,000
=
Lira in US dollars?
$ 25.00
Liras to Dollars
Given information
Translator
Goal
The final answer
35,000 Lira x
$
1.00
1,40
0 Lira
How much is 35,000
=
Lira in US dollars?
$ 25.00
Liras to Dollars
Given information
35,000 Lira x
Translator
$
1.00
1,40
0 Lira
How much is 35,000
Goal
=
Lira in US dollars?
$ 25.00
Age to Minutes
Given
information
23 yrs
x
Translator
365 days
1 yr
x
24 hr
1 day
How old are you in minutes ?
Goal
x
60 min
1 hr
=
min
Age to Minutes
Given
information
Translator
23 yrs
How old are you in minutes ?
Goal
Age to Minutes
Given
information
23 yrs
x
Translator
365 days
1 yr
How old are you in minutes ?
Goal
Age to Minutes
Given
information
23 yrs
x
Translator
365 days
1 yr
How old are you in minutes ?
Goal
Age to Minutes
Given
information
23 yrs
x
Translator
365 days
1 yr
x
24 hr
1 day
How old are you in minutes ?
Goal
Age to Minutes
Given
information
23 yrs
x
Translator
365 days
1 yr
x
24 hr
1 day
How old are you in minutes ?
Goal
Age to Minutes
Given
information
23 yrs
x
Translator
365 days
1 yr
x
24 hr
1 day
How old are you in minutes ?
Goal
x
60 min
1 hr
Age to Minutes
Given
information
23 yrs
x
Translator
365 days
1 yr
x
24 hr
1 day
How old are you in minutes ?
Goal
x
60 min
1 hr
Age to Minutes
Given
information
23 yrs
x
Translator
365 days
1 yr
x
24 hr
1 day
How old are you in minutes ?
Goal
x
60 min
= 1.2
1 hr
x
107
Age to Minutes
Given
information
23 yrs
x
Translator
365 days
1 yr
x
24 hr
1 day
How old are you in minutes ?
Goal
x
60 min
= 1.2
1 hr
x
107 min
Age to Minutes
Given
information
23 yrs
x
Translator
365 days
1 yr
x
24 hr
1 day
How old are you in minutes ?
Goal
x
60 min
= 1.2
1 hr
x
107 min
Age to Minutes
Given
information
23 yrs
x
Translator
365 days
1 yr
x
24 hr
1 day
How old are you in minutes ?
Goal
x
60 min
= 1.2
1 hr
x
107 min
Age to Minutes
Given
information
23 yrs
x
Translator
365 days
1 yr
x
24 hr
1 day
How old are you in minutes ?
Goal
x
60 min
= 1.2
1 hr
x
107 min
Age to Minutes
Given
information
23 yrs
x
Translator
365 days
1 yr
x
24 hr
1 day
How old are you in minutes ?
Goal
x
60 min
= 1.2
1 hr
x
107 min
Age to Minutes
Given
information
23 yrs
x
Translator
365 days
1 yr
x
24 hr
1 day
How old are you in minutes ?
Goal
x
60 min
= 12088800 min
1 hr
Age to Minutes
Given
information
23 yrs
x
Translator
365 days
1 yr
x
24 hr
1 day
How old are you in minutes ?
Goal
x
60 min
= 1.2 x 107 min
1 hr
Grams Gold to Lira
Given
information
Translator
Goal
Suppose the exchange rate for the yen is 138 Yen /
$1.00. If gold at the Tokyo exchange is 48,234 Yen
an ounce, how much will 5.0 gram cost in Lira.
Conversion factors:
453.9 g = 1.00 lb, 16.0 oz = 1.00lb, 138 Yen = $1.00
48,234 Yen = 1oz gold, 35,000 Lira = $1.00
Grams Gold to Lira
Given
information
5.0 g Au x
g
x
Translator
x
Goal
x
Suppose the exchange rate for the yen is 138 Yen per
$1.00. If gold at the Tokyo exchange is 48,234 Yen
an ounce, how much will 5.0 gram cost in Lira ?
x
=
Conversion factors:
453.9 g = 1.00 lb,
16.0 oz = 1.00lb,
138 Yen = $1.00
48,234 Yen = 1oz gold,
1,400 Lira = $1.00
Grams Gold to Lira
Given
information
5.0 g Au x
lb
x
g
Translator
lbx
Goal
x
Suppose the exchange rate for the yen is 138 Yen per
$1.00. If gold at the Tokyo exchange is 48,234 Yen
an ounce, how much will 5.0 gram cost in Lira ?
x
=
Conversion factors:
453.9 g = 1.00 lb,
16.0 oz = 1.00lb,
138 Yen = $1.00
48,234 Yen = 1oz gold,
1,400 Lira = $1.00
Grams Gold to Lira
Given
information
5.0 g Au x
lb
x
g
Translator
oz.
lbx
oz
Goal
x
Suppose the exchange rate for the yen is 138 Yen per
$1.00. If gold at the Tokyo exchange is 48,234 Yen
an ounce, how much will 5.0 gram cost in Lira ?
x
=
Conversion factors:
453.9 g = 1.00 lb,
16.0 oz = 1.00lb,
138 Yen = $1.00
48,234 Yen = 1oz gold,
1,400 Lira = $1.00
Grams Gold to Lira
Given
information
5.0 g Au x
lb
x
g
Translator
oz.
lbx
Yen
oz
Goal
x
Yen
Suppose the exchange rate for the yen is 138 Yen per
$1.00. If gold at the Tokyo exchange is 48,234 Yen
an ounce, how much will 5.0 gram cost in Lira ?
x
=
Conversion factors:
453.9 g = 1.00 lb,
16.0 oz = 1.00lb,
138 Yen = $1.00
48,234 Yen = 1oz gold,
1,400 Lira = $1.00
Grams Gold to Lira
Given
information
5.0 g Au x
lb
x
g
Translator
oz.
lbx
Yen
oz
Goal
x
$
Yen
Suppose the exchange rate for the yen is 138 Yen per
$1.00. If gold at the Tokyo exchange is 48,234 Yen
an ounce, how much will 5.0 gram cost in Lira ?
x
$
=
Conversion factors:
453.9 g = 1.00 lb,
16.0 oz = 1.00lb,
138 Yen = $1.00
48,234 Yen = 1oz gold,
1,400 Lira = $1.00
Grams Gold to Lira
Given
information
5.0 g Au x
lb
x
g
Translator
oz.
lbx
Yen
oz
Goal
x
$
Yen
Suppose the exchange rate for the yen is 138 Yen per
$1.00. If gold at the Tokyo exchange is 48,234 Yen
an ounce, how much will 5.0 gram cost in Lira ?
x
Lira
$
Conversion factors:
453.9 g = 1.00 lb,
16.0 oz = 1.00lb,
138 Yen = $1.00
48,234 Yen = 1oz gold,
1,400 Lira = $1.00
Grams Gold to Lira
Given
information
5.0 g Au x
lb
x
g
Translator
oz.
lbx
Yen
oz
Goal
x
$
Yen
Suppose the exchange rate for the yen is 138 Yen per
$1.00. If gold at the Tokyo exchange is 48,234 Yen
an ounce, how much will 5.0 gram cost in Lira ?
x
Lira
=
$
Lira
Conversion factors:
453.9 g = 1.00 lb,
16.0 oz = 1.00lb,
138 Yen = $1.00
48,234 Yen = 1oz gold,
1,400 Lira = $1.00
Grams Gold to Lira
Given
information
1.0 lb
5.0 g Au x
x
453.6 g
Translator
oz.
lbx
Yen
oz
Goal
x
$
Yen
Suppose the exchange rate for the yen is 138 Yen per
$1.00. If gold at the Tokyo exchange is 48,234 Yen
an ounce, how much will 5.0 gram cost in Lira ?
x
Lira
=
$
Lira
Conversion factors:
453.9 g = 1.00 lb,
16.0 oz = 1.00lb,
138 Yen = $1.00
48,234 Yen = 1oz gold,
1,400 Lira = $1.00
Grams Gold to Lira
Given
information
Translator
1.0 lb 16.0 oz.
5.0 g Au x
x
1.0 lbx
453.6 g
Yen
oz
Goal
x
$
Yen
Suppose the exchange rate for the yen is 138 Yen per
$1.00. If gold at the Tokyo exchange is 48,234 Yen
an ounce, how much will 5.0 gram cost in Lira ?
x
Lira
=
$
Lira
Conversion factors:
453.9 g = 1.00 lb,
16.0 oz = 1.00lb,
138 Yen = $1.00
48,234 Yen = 1oz gold,
1,400 Lira = $1.00
Grams Gold to Lira
Given
information
Translator
1.0 lb 16.0 oz.
5.0 g Au x
x
1.0 lbx
453.6 g
48,234 Yen
1.0 oz
Goal
x
$
Yen
Suppose the exchange rate for the yen is 138 Yen per
$1.00. If gold at the Tokyo exchange is 48,234 Yen
an ounce, how much will 5.0 gram cost in Lira ?
x
Lira
=
$
Lira
Conversion factors:
453.9 g = 1.00 lb,
16.0 oz = 1.00lb,
138 Yen = $1.00
48,234 Yen = 1oz gold,
1,400 Lira = $1.00
Grams Gold to Lira
Given
information
Translator
1.0 lb 16.0 oz.
5.0 g Au x
x
1.0 lbx
453.6 g
48,234 Yen
1.0 oz
Goal
x
1.00 $
138 Yen
Suppose the exchange rate for the yen is 138 Yen per
$1.00. If gold at the Tokyo exchange is 48,234 Yen
an ounce, how much will 5.0 gram cost in Lira ?
x
Lira
$
=
Lira
Conversion factors:
453.9 g = 1.00 lb,
16.0 oz = 1.00lb,
138 Yen = $1.00
48,234 Yen = 1oz gold,
1,400 Lira = $1.00
Grams Gold to Lira
Given
information
Translator
1.0 lb 16.0 oz.
5.0 g Au x
x
1.0 lbx
453.6 g
48,234 Yen
1.0 oz
Goal
x
1.00 $
138 Yen
Suppose the exchange rate for the yen is 138 Yen per
$1.00. If gold at the Tokyo exchange is 48,234 Yen
an ounce, how much will 5.0 gram cost in Lira ?
x
1400 Lira
=
1.00 $
Lira
Conversion factors:
453.9 g = 1.00 lb,
16.0 oz = 1.00lb,
138 Yen = $1.00
48,234 Yen = 1oz gold,
1,400 Lira = $1.00
Grams Gold to Lira
Given
information
Translator
1.0 lb 16.0 oz.
5.0 g Au x
x
1.0 lbx
453.6 g
48,234 Yen
1.0 oz
Goal
x
1.00 $
138 Yen
Suppose the exchange rate for the yen is 138 Yen per
$1.00. If gold at the Tokyo exchange is 48,234 Yen
an ounce, how much will 5.0 gram cost in Lira ?
x
1400 Lira
=
1.00 $
Lira
Conversion factors:
453.9 g = 1.00 lb,
16.0 oz = 1.00lb,
138 Yen = $1.00
48,234 Yen = 1oz gold,
1,400 Lira = $1.00
Grams Gold to Lira
Given
information
Translator
1.0 lb 16.0 oz.
5.0 g Au x
x
1.0 lbx
453.6 g
48,234 Yen
1.0 oz
Goal
x
1.00 $
138 Yen
Suppose the exchange rate for the yen is 138 Yen per
$1.00. If gold at the Tokyo exchange is 48,234 Yen
an ounce, how much will 5.0 gram cost in Lira ?
x
1400 Lira
=
1.00 $
Lira
Conversion factors:
453.9 g = 1.00 lb,
16.0 oz = 1.00lb,
138 Yen = $1.00
48,234 Yen = 1oz gold,
1,400 Lira = $1.00
Grams Gold to Lira
Given
information
Translator
1.0 lb 16.0 oz.
5.0 g Au x
x
1.0 lbx
453.6 g
48,234 Yen
1.0 oz
Goal
x
1.00 $
138 Yen
Suppose the exchange rate for the yen is 138 Yen per
$1.00. If gold at the Tokyo exchange is 48,234 Yen
an ounce, how much will 5.0 gram cost in Lira ?
x
1400 Lira = 86,000
1.00 $
Lira
Conversion factors:
453.9 g = 1.00 lb,
16.0 oz = 1.00lb,
138 Yen = $1.00
48,234 Yen = 1oz gold,
1,400 Lira = $1.00
Speed mi/hr to m/sec
Given
information
Translator
Goal
A car is traveling 55 mph (miles per hour). How fast
is the car moving in meters per seconds ?
Note 55mph = 55 mi / hr
mi
55
hr
Conversion factors:
1.0 hr = 60 min, 1.0 min = 60 sec,
1.0 mi = 1.609 km, 1 km = 1000 m
Speed mi/hr to m/sec
Given
information
Translator
Goal
55 mi
1 hr
A car is traveling 55 mph (miles per hour). How fast
is the car moving in meters per seconds ?
Conversion factors:
1.0 hr = 60 min,
1.0 min = 60 sec,
1.0 mi = 1.609 km
1 km = 1000 m
Speed mi/hr to m/sec
Given
information
55 mi
1 hr
x
Translator
Goal
1 hr
60 min
A car is traveling 55 mph (miles per hour). How fast
is the car moving in meters per seconds ?
Conversion factors:
1.0 hr = 60 min,
1.0 min = 60 sec,
1.0 mi = 1.609 km
1 km = 1000 m
Speed mi/hr to m/sec
Given
information
55 mi
1 hr
x
1 hr
60 min
Translator
x
Goal
1 min
60 sec
A car is traveling 55 mph (miles per hour). How fast
is the car moving in meters per seconds ?
Conversion factors:
1.0 hr = 60 min,
1.0 min = 60 sec,
1.0 mi = 1.609 km
1 km = 1000 m
Speed mi/hr to m/sec
Given
information
55 mi
1 hr
x
1 hr
60 min
Translator
x
Goal
1 min
60 sec
A car is traveling 55 mph (miles per hour). How fast
is the car moving in meters per seconds ?
Conversion factors:
1.0 hr = 60 min,
1.0 min = 60 sec,
1.0 mi = 1.609 km
1 km = 1000 m
Speed mi/hr to m/sec
Given
information
55 mi
1 hr
x
1 hr
60 min
Translator
x
1 min
60 sec
x
Goal
1.609 km
1 mi
A car is traveling 55 mph (miles per hour). How fast
is the car moving in meters per seconds ?
Conversion factors:
1.0 hr = 60 min,
1.0 min = 60 sec,
1.0 mi = 1.609 km
1 km = 1000 m
Speed mi/hr to m/sec
Given
information
55 mi
1 hr
x
1 hr
60 min
Translator
x
1 min
60 sec
x
Goal
1.609 km 1000 m
x
1 mi
1 km
A car is traveling 55 mph (miles per hour). How fast
is the car moving in meters per seconds ?
Conversion factors:
1.0 hr = 60 min,
1.0 min = 60 sec,
1.0 mi = 1.609 km
1 km = 1000 m
Speed mi/hr to m/sec
Given
information
55 mi
1 hr
x
1 hr
60 min
Translator
x
1 min
60 sec
x
Goal
1.609 km 1000 m
x
1 mi
1 km
A car is traveling 55 mph (miles per hour). How fast
is the car moving in meters per seconds ?
Conversion factors:
1.0 hr = 60 min,
1.0 min = 60 sec,
1.0 mi = 1.609 km
1 km = 1000 m
Speed mi/hr to m/sec
Given
information
55 mi
1 hr
x
1 hr
60 min
Translator
x
1 min
60 sec
x
1.609 km 1000 m
x
1 mi
1 km
A car is traveling 55 mph (miles per hour). How fast
is the car moving in meters per seconds ?
Goal
=
Conversion factors:
1.0 hr = 60 min,
1.0 min = 60 sec,
1.0 mi = 1.609 km
1 km = 1000 m
Speed mi/hr to m/sec
Given
information
55 mi
1 hr
x
1 hr
60 min
Translator
x
1 min
60 sec
x
1.609 km 1000 m
x
1 mi
1 km
A car is traveling 55 mph (miles per hour). How fast
is the car moving in meters per seconds ?
Goal
=
m
sec
Conversion factors:
1.0 hr = 60 min,
1.0 min = 60 sec,
1.0 mi = 1.609 km
1 km = 1000 m
Speed mi/hr to m/sec
Given
information
55 mi
1 hr
x
1 hr
60 min
Translator
x
1 min
60 sec
x
1.609 km 1000 m
x
1 mi
1 km
A car is traveling 55 mph (miles per hour). How fast
is the car moving in meters per seconds ?
Goal
=
m
sec
Conversion factors:
1.0 hr = 60 min,
1.0 min = 60 sec,
1.0 mi = 1.609 km
1 km = 1000 m
Speed mi/hr to m/sec
Given
information
55 mi
1 hr
x
1 hr
60 min
Translator
x
1 min
60 sec
x
1.609 km 1000 m
x
1 mi
1 km
A car is traveling 55 mph (miles per hour). How fast
is the car moving in meters per seconds ?
Goal
=
Conversion factors:
1.0 hr = 60 min,
1.0 min = 60 sec,
1.0 mi = 1.609 km
1 km = 1000 m
Speed mi/hr to m/sec
Given
information
55 mi
1 hr
x
1 hr
60 min
Translator
x
1 min
60 sec
x
1.609 km 1000 m
x
1 mi
1 km
A car is traveling 55 mph (miles per hour). How fast
is the car moving in meters per seconds ?
Goal
=
Conversion factors:
1.0 hr = 60 min,
1.0 min = 60 sec,
1.0 mi = 1.609 km
1 km = 1000 m
Speed mi/hr to m/sec
Given
information
55 mi
1 hr
x
1 hr
60 min
Translator
x
1 min
60 sec
x
1.609 km 1000 m
x
1 mi
1 km
A car is traveling 55 mph (miles per hour). How fast
is the car moving in meters per seconds ?
Goal
=
Conversion factors:
1.0 hr = 60 min,
1.0 min = 60 sec,
1.0 mi = 1.609 km
1 km = 1000 m
Speed mi/hr to m/sec
Given
information
55 mi
1 hr
x
1 hr
60 min
Translator
x
1 min
60 sec
x
1.609 km 1000 m
x
1 mi
1 km
A car is traveling 55 mph (miles per hour). How fast
is the car moving in meters per seconds ?
Goal
=
Conversion factors:
1.0 hr = 60 min,
1.0 min = 60 sec,
1.0 mi = 1.609 km
1 km = 1000 m
Speed mi/hr to m/sec
Given
information
55 mi
1 hr
x
1 hr
60 min
Translator
x
1 min
60 sec
x
1.609 km 1000 m
x
1 mi
1 km
A car is traveling 55 mph (miles per hour). How fast
is the car moving in meters per seconds ?
Goal
=
Conversion factors:
1.0 hr = 60 min,
1.0 min = 60 sec,
1.0 mi = 1.609 km
1 km = 1000 m
Speed mi/hr to m/sec
Given
information
55 mi
1 hr
x
1 hr
60 min
Translator
x
1 min
60 sec
x
1.609 km 1000 m
x
1 mi
1 km
A car is traveling 55 mph (miles per hour). How fast
is the car moving in meters per seconds ?
Goal
=
m
sec
Conversion factors:
1.0 hr = 60 min,
1.0 min = 60 sec,
1.0 mi = 1.609 km
1 km = 1000 m
Speed mi/hr to m/sec
Given
information
55 mi
1 hr
x
1 hr
60 min
Translator
x
1 min
60 sec
x
1.609 km 1000 m
x
1 mi
1 km
A car is traveling 55 mph (miles per hour). How fast
is the car moving in meters per seconds ?
Goal
=
917
m
sec
Conversion factors:
1.0 hr = 60 min,
1.0 min = 60 sec,
1.0 mi = 1.609 km
1 km = 1000 m
Speed mi/hr to m/sec
Given
information
55 mi
1 hr
x
1 hr
60 min
Translator
x
1 min
60 sec
x
1.609 km 1000 m
x
1 mi
1 km
A car is traveling 55 mph (miles per hour). How fast
is the car moving in meters per seconds ?
Goal
=
917
m
sec
Conversion factors:
1.0 hr = 60 min,
1.0 min = 60 sec,
1.0 mi = 1.609 km
1 km = 1000 m
Speed mi/hr to m/sec
Given
information
55 mi
1 hr
x
1 hr
60 min
Translator
x
1 min
60 sec
x
1.609 km 1000 m
x
1 mi
1 km
Goal
=
917
m
sec
A car is traveling 55 mph (miles per hour) is traveling
917 meters per seconds.
Conversion factors:
1.0 hr = 60 min,
1.0 min = 60 sec,
1.0 mi = 1.609 km
1 km = 1000 m
Mass of 1 gallon Au
Given
information
Translator
What is the mass in pounds (lb) of 1.00 gallons
of gold ?
Conversion factor:
1.0 gallons = 3.785 Liters, 1.0 Liters = 1000 mL,
19.3 grams gold = 1.0 mL, 453.6 grams = 1.0 lb.
Goal
Mass of 1 gallon Au
Given
information
1.0 gal Au
x
Translator
x
What is the mass in pounds
(lb) of 1.00 gallons of gold ?
x
Goal
x
Conversion factor:
1.0 gallons = 3.785 Liters
1.0 Liters = 1000 mL
19.3 grams gold = 1.0 mL
453.6 grams = 1.0 lb.
Mass of 1 gallon Au
Given
information
1.0 gal Au
x
Translator
gal
L
x
What is the mass in pounds
(lb) of 1.00 gallons of gold ?
x
Goal
x
Conversion factor:
1.0 gallons = 3.785 Liters
1.0 Liters = 1000 mL
19.3 grams gold = 1.0 mL
453.6 grams = 1.0 lb.
Mass of 1 gallon Au
Given
information
1.0 gal Au
x
Translator
gal
L
x
mL
L
What is the mass in pounds
(lb) of 1.00 gallons of gold ?
x
Goal
x
=
lb
Conversion factor:
1.0 gallons = 3.785 Liters
1.0 Liters = 1000 mL
19.3 grams gold = 1.0 mL
453.6 grams = 1.0 lb.
Mass of 1 gallon Au
Given
information
1.0 gal Au
x
Translator
gal
L
x
mL
L
What is the mass in pounds
(lb) of 1.00 gallons of gold ?
x
Goal
mL
g
x
Conversion factor:
1.0 gallons = 3.785 Liters
1.0 Liters = 1000 mL
19.3 grams gold = 1.0 mL
453.6 grams = 1.0 lb.
Mass of 1 gallon Au
Given
information
1.0 gal Au
x
Translator
gal
L
x
mL
L
What is the mass in pounds
(lb) of 1.00 gallons of gold ?
x
Goal
mL
g
x
lb
g
Conversion factor:
1.0 gallons = 3.785 Liters
1.0 Liters = 1000 mL
19.3 grams gold = 1.0 mL
453.6 grams = 1.0 lb.
Mass of 1 gallon Au
Given
information
1.0 gal Au
x
Translator
gal
L
x
mL
L
What is the mass in pounds
(lb) of 1.00 gallons of gold ?
x
Goal
mL
g
x
lb
=
g
lb
Conversion factor:
1.0 gallons = 3.785 Liters
1.0 Liters = 1000 mL
19.3 grams gold = 1.0 mL
453.6 grams = 1.0 lb.
Mass of 1 gallon Au
Given
information
1.0 gal Au
x
Translator
3.785 L
1 gal
x
mL
L
What is the mass in pounds
(lb) of 1.00 gallons of gold ?
x
Goal
mL
g
x
lb
=
g
lb
Conversion factor:
1.0 gallons = 3.785 Liters
1.0 Liters = 1000 mL
19.3 grams gold = 1.0 mL
453.6 grams = 1.0 lb.
Mass of 1 gallon Au
Given
information
1.0 gal Au
x
Translator
3.785 L
1 gal
x
1000 mL
1 L
What is the mass in pounds
(lb) of 1.00 gallons of gold ?
x
Goal
g
mL
x
lb
g
=
lb
Conversion factor:
1.0 gallons = 3.785 Liters
1.0 Liters = 1000 mL
19.3 grams gold = 1.0 mL
453.6 grams = 1.0 lb.
Mass of 1 gallon Au
Given
information
1.0 gal Au
x
Translator
3.785 L
1 gal
x
1000 mL
1 L
What is the mass in pounds
(lb) of 1.00 gallons of gold ?
x
Goal
19.3 g
1 mL x
lb
g
=
lb
Conversion factor:
1.0 gallons = 3.785 Liters
1.0 Liters = 1000 mL
19.3 grams gold = 1.0 mL
453.6 grams = 1.0 lb.
Mass of 1 gallon Au
Given
information
1.0 gal Au
x
Translator
3.785 L
1 gal
x
1000 mL
1 L
What is the mass in pounds
(lb) of 1.00 gallons of gold ?
x
Goal
1 lb
19.3 g
=
1 mL x 453.6 g
lb
Conversion factor:
1.0 gallons = 3.785 Liters
1.0 Liters = 1000 mL
19.3 grams gold = 1.0 mL
453.6 grams = 1.0 lb.
Mass of 1 gallon Au
Given
information
1.0 gal Au
x
Translator
3.785 L
1 gal
x
1000 mL
1 L
What is the mass in pounds
(lb) of 1.00 gallons of gold ?
x
Goal
1 lb
19.3 g
=
1 mL x 453.6 g
161 lb
Conversion factor:
1.0 gallons = 3.785 Liters
1.0 Liters = 1000 mL
19.3 grams gold = 1.0 mL
453.6 grams = 1.0 lb.
Mass of 1 gallon Au
Given
information
1.0 gal Au
x
Translator
3.785 L
1 gal
x
1000 mL
1 L
x
Goal
1 lb
19.3 g
=
1 mL x 453.6 g
160 lb
2 Sig Fig
What is the mass in pounds
(lb) of 1.00 gallons of gold ?
Conversion factor:
1.0 gallons = 3.785 Liters
1.0 Liters = 1000 mL
19.3 grams gold = 1.0 mL
453.6 grams = 1.0 lb.
Distance of 1 mol Pennies
Given
information
x
Translator
How far would 1 mole of penny stretch in miles,
kilometers and in light years ?
Conversion factor:
1.0 mole = 6.02 x 1023, 1 Penny = 2.0 cm, 100 cm
= 1 m, 1000m = 1 km, 1.0 mi = 0.87 km, 186,000
mi = 1.0 sec, 60 sec = 1.0 min, 60 min = 1-hr, 24
hr = 1 day, 365.25 days
Goal
Distance of 1 mol Pennies
Given
information
6.02x1023 Pny x
Translator
2.0 cm
1m
km
x
x
x
1 Pny 100 cm
1000 m
mi
km
x
Goal
1sec
1 yr
1 hr
1 day
x
x
x
186,000 mi
365.25 =
3600 sec 24 hr
You complete the problem….
yr