Mastering Conversion Factors: Units, Conversions, and Problem Solving
Overview/Topics
1.
Units (Imperial and Metric)
2.
Conversions
a.
US ↔ US
b.
US ↔ Metric
c.
Metric ↔ Metric
d.
Multistep Conversions
e.
Compound Units
f.
Squares and Cubes
g.
Word Problems
h.
Density
i.
Specific Heat
3.
Use of SN, SF, Rounding
Skills to Master
1.
HW 3 f,g
CHE 101 Fall 2021
Lecture 3 f,g – Conversion Factors II
Read
Hein Chapter 2
Additional Useful Links
Google/You Tube
Conversion – Compound Units
Example: Convert 65 mi/hr to km/sec
Example: Convert 5.0 gallons/sec to mL/day
Can you:
Solve Compound Units Problems
HW 3 f
You Try It:
Example: Convert 325 tons/hr ng/min
Example: Convert 25 miles/gal to km/L
Conversion – Squares and Cubes
Example: Convert 120 m
2
to cm
2
Example: Convert 35,000 in
3
to ft
3
Can you:
Solve Squares and Cube Problems
HW 3 f
You Try It:
Example: Convert 3.50 x 10
15
mL to mi
3
Example: 150 cm
2
to ft
2
Can you:
Solve Squares and Cube Problems
HW 3 f
Conversion – General Rules and Idea’s
1.
Anything with 2+ units is a CF
2.
Question → Answer
3.
List any possible CF’s
4.
Try
5.
If you fail, try again!
Conversion – Word Problems
Example: A person driving a brand new Tesla drives 75 mi/hr. If the person drives from
Rangely to Denver (a distance of 500 miles) how many hours will it take him to get there?
Can you:
Solve word problems
HW 3 g
Example: A person driving a brand new Tesla drives 75 mi/hr. If the person robs a bank and
then drives for 450 minutes how many miles away will he be?
You Try It:
Example: A horse can haul 50.0 lbs of gear up a mountain. If you need to move 1200 kg of
gear up a mountain how many horses will you need?
Can you:
Solve Word Problems
HW 3 g
Example: You work for a zoo and have decided you want to trade an elephant for some
kangaroo’s but will need to do several trades to do this. You can trade 12 apes for 5
snakes, 1 elephant for 9 emu’s, 2 emu’s for 5 koala’s, 3 koala’s for 7 apes and 5 snakes for a
kangaroo. How many kangaroo’s can you get if you trade 2 elephants.
Can you:
Solve Word Problems
HW 3 g
You Try It:
Conversion – Temperature
1.
Slightly different than other units because °F and °C define zero differently and the
size of a degree is different.
2.
Linear relationship so we can use an equation to convert between them.
3.
°C and K same sized unit, zero is defined differently
°F = 1.8(°C) + 32
Can you:
Solve Temperature Problems
Lab 3 Temperature
Dive into the world of unit conversions with a focus on mastering conversion factors, including Imperial and Metric units, compound units, squares and cubes, and word problems. Explore examples, practice problems, and general rules to enhance your skills in solving complex conversion challenges. Utilize additional resources for further learning and practice.
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Presentation Transcript
CHE 101 Fall 2021 Lecture 3 f,g Conversion Factors II Overview/Topics Skills to Master 1. Units (Imperial and Metric) 2. Conversions a. US US b. US Metric c. Metric d. Multistep Conversions e. Compound Units f. Squares and Cubes g. Word Problems h. Density i. Specific Heat 3. Use of SN, SF, Rounding 1. HW 3 f,g Metric Additional Useful Links www.chemhaven.org/che101 Khan Academy Google/You Tube Read Hein Chapter 2
Conversion Compound Units Example: Convert 65 mi/hr to km/sec Example: Convert 5.0 gallons/sec to mL/day Can you: Solve Compound Units Problems HW 3 f
You Try It: Example: Convert 25 miles/gal to km/L Example: Convert 325 tons/hr ng/min
Conversion Squares and Cubes Example: Convert 120 m2 to cm2 Example: Convert 35,000 in3 to ft3 Can you: Solve Squares and Cube Problems HW 3 f
You Try It: Example: 150 cm2 to ft2 Example: Convert 3.50 x 1015 mL to mi3 Can you: Solve Squares and Cube Problems HW 3 f
Conversion General Rules and Ideas 1. Anything with 2+ units is a CF 2. Question Answer 3. List any possible CF s 4. Try 5. If you fail, try again!
Conversion Word Problems Example: A person driving a brand new Tesla drives 75 mi/hr. If the person drives from Rangely to Denver (a distance of 500 miles) how many hours will it take him to get there? Example: A person driving a brand new Tesla drives 75 mi/hr. If the person robs a bank and then drives for 450 minutes how many miles away will he be? Can you: Solve word problems HW 3 g
You Try It: Example: A horse can haul 50.0 lbs of gear up a mountain. If you need to move 1200 kg of gear up a mountain how many horses will you need? Can you: Solve Word Problems HW 3 g
You Try It: Example: You work for a zoo and have decided you want to trade an elephant for some kangaroo s but will need to do several trades to do this. You can trade 12 apes for 5 snakes, 1 elephant for 9 emu s, 2 emu s for 5 koala s, 3 koala s for 7 apes and 5 snakes for a kangaroo. How many kangaroo s can you get if you trade 2 elephants. Can you: Solve Word Problems HW 3 g
Conversion Temperature 1. Slightly different than other units because F and C define zero differently and the size of a degree is different. 2. Linear relationship so we can use an equation to convert between them. 3. C and K same sized unit, zero is defined differently F = 1.8( C) + 32 Can you: Solve Temperature Problems Lab 3 Temperature
