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Dimensional Analysis Steps: 1. Identify starting & ending units. 2. Line up conversion factors so units cancel. 3. Multiply all top numbers & divide by product of bottom numbers. 4. Check units & final answer.
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I
II
III
Unit Conversions
Chapter 2 MEASUREMENT
West Valley High SchoolGeneral Chemistry
Mr. Mata
33
cmgcm
Dimensional Analysis The “Factor-Label” Method
Units, or “labels” are canceled, or “factored” out.
g
Dimensional Analysis Steps:
1. Identify starting & ending units.
2. Line up conversion factors so units cancel.
3. Multiply all top numbers & divide by product of bottom numbers.
4. Check units & final answer.
Dimensional Analysis Lining up conversion factors:
1 in = 2.54 cm2.54 cm 2.54 cm
1 in = 2.54 cm 1 in 1 in
= 1
1 =
Dimensional Analysis Your European hairdresser wants to cut your hair
8 cm shorter. How many inches will he be cutting off?
8 cm 1 in2.54 cm
= 3.1 in
cm in
Dimensional Analysis How many mL are in 1 quart of milk?
1 qt 1 L1.057 qt
= 946 mL
qt mL
1000 mL1 L
Dimensional Analysis How many liters of water would fill a
container that measures 75 in3?
75 in3 2.54 cm3
1 in3= 0.19 L
in3 L
1 L1000 cm3
Dimensional Analysis
A piece of wire is 1.3 m long. How many 1.5-cm pieces can be cut from this wire?
1.3 m 100 cm1 m
= 87 pieces
m pieces
1 piece1.5 cm
Dimensional Analysis You have 1.5 pounds of gold. Find its volume
in cm3 if the density of gold is 19.3 g/cm3.
lb cm3
1.5 lb 1 kg2.2 lb
= 35 cm31000 g
1 kg1 cm3
19.3 g
Dimensional Analysis
West Valley football needs 550 cm for a 1st down. How many yards is this?
550 cm 1 in2.54 cm
= 6.0 yd
cm yd
1 ft12 in
1 yd3 ft
Chapter 2 SUTW Prompt Describe how the measurements of SI
units, conversion factors, & dimensional analysis are used in chemistry.
Complete a 8-10 sentence paragraph using the SUTW paragraph format. Hilite using green, yellow, and pink.
Due Date: Tomorrow (start of class).