1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
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Chapter 1
Introduction to Chemistry
1.1 The Scope of Chemistry 1.2 Chemistry and You
1.3 Thinking Like a Scientist
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry > CHEMISTRYCHEMISTRY & & YOUYOU
How does having a plan make problem
solving easier?
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
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Skills Used in
Skills Used in
Solving Problems
Solving Problems
Skills Used in Solving Problems
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry > Skills Used in Skills Used in
Solving Problems
Solving Problems
Problem solving is a skill you use all the
time.
• A shopper must make many decisions. Some of those are based on data, like the information on a food label.
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
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Skills Used in
Skills Used in
Solving Problems
Solving Problems
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
Effective problem solving always involves developing a plan and then
A. evaluating the plan.
B. doing the calculations.
C. making an estimate.
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
7 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved. Effective problem solving always involves developing a plan and then
A. evaluating the plan.
B. doing the calculations.
C. making an estimate.
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry > Solving Numeric Solving Numeric
Problems
Problems
Solving Numeric Problems
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
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Solving Numeric
Solving Numeric
Problems
Problems
• Most word problems in chemistry require math because measurement is such an important part of chemistry.
• The techniques used in this course to solve numeric problems are conveniently
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry > Solving Numeric Solving Numeric
Problems
Problems
The steps for solving a numeric
word problem are analyze,
calculate, and evaluate.
Analyze Evaluate
2
1 3
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1.4 Problem Solving in Chemistry >
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Solving Numeric
Solving Numeric
Problems
Problems
• First determine where you are starting from (identify what is known) and where you are going (identify what is unknown).
Analyze
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry > Solving Numeric Solving Numeric
Problems
Problems
• First determine where you are starting from (identify what is known) and where you are going (identify what is unknown).
• If you expect the answer (the unknown) to be a number, you need to determine what unit(s) the answer should have.
• Make a plan for using what is known to arrive at the unknown.
Analyze
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
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Solving Numeric
Solving Numeric
Problems
Problems
• For some problems, you will have to convert a measurement from one unit to another.
• For other problems, you may need to
rearrange an equation before you can solve for an unknown.
Calculate
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry > Solving Numeric Solving Numeric
Problems
Problems
After you calculate an answer, you
should evaluate it.
Evaluate
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
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Solving Numeric
Solving Numeric
Problems
Problems
After you calculate an answer, you
should evaluate it.
Evaluate
3
• Is the answer reasonable? • Does it make sense?
• Did you copy the data correctly?
• Did you choose the right equations?
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry > SampleSample Problem 1.1Problem 1.1
Estimate Walking Time
You are visiting Indianapolis. You decide to walk from the Indiana State Capital to the Murat Centre for an
afternoon performance. According to the map, the shortest route from the capital to the theater is 8 blocks. How many minutes will the trip take if you can walk 1 mile in 20 minutes?
Start
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
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Sample Problem 1.1
Sample Problem 1.1
This problem is an example of a conversion
problem. One unit of measure (blocks) must be expressed in a different unit (minutes).
KNOWNS
distance to be traveled = 8 blocks
walking speed = 1 mile/20 minutes
1 mile = 10 blocks
UNKNOWN
time of trip = ? minutes
Analyze List the knowns and the unknown.
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
Divide the number of
blocks to be traveled by the number of blocks in 1 mile.
Calculate Solve for the unknown.
2
Sample Problem 1.1
Sample Problem 1.1
1 mile 10 blocks
8 blocks = 0.8 mile
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
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Multiply the number of miles by the time it takes to walk 1 mile.
Calculate Solve for the unknown.
2
Sample Problem 1.1
Sample Problem 1.1
Notice how the units cancel.
20 minutes 1 mile
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
• The answer seems reasonable, 16 minutes to walk 8 blocks.
• The answer has the correct unit. • The relationships used are correct.
Evaluate Does the result make sense?
3
Sample Problem 1.1
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
Matthew has been collecting quarters in a jar. He has 176 quarters. What is the value of the coins in his jar?
1 dollar 4 quarters
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
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Solving Nonnumeric
Solving Nonnumeric
Problems
Problems
Solving Nonnumeric Problems
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry > Solving Nonnumeric Solving Nonnumeric
Problems
Problems
Not every word problem in chemistry
requires calculations.
• Some problems ask you to apply the concepts you are studying to a new situation.
• You still need to identify what is known and what is unknown.
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
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Solving Nonnumeric
Solving Nonnumeric
Problems
Problems
The steps for solving a
nonnumeric problem are analyze
and solve.
Analyze Solve
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry > CHEMISTRYCHEMISTRY & & YOUYOU
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
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CHEMISTRY & YOU
CHEMISTRY & YOU
Pick a game you like to play or a type
of puzzle you enjoy solving. How does
having a plan make playing the game
or solving the puzzle easier?
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry > SampleSample Problem 1.2Problem 1.2
Scheduling Classes
Manny needs to schedule his classes for next year. The school day is divided into seven periods, and he must take Algebra II, Art, Chemistry, English, History, and Physical Education. Using the information from the course catalog, find a way for Manny to schedule all his classes.
Algebra II is offered during either 1st or 2nd period.Algebra II is offered during either 1st or 2nd period.
Art is offered during 2nd period only.Art is offered during 2nd period only.
Chemistry is offered during either 3rd or 6th period.Chemistry is offered during either 3rd or 6th period. English is offered during either 6th or 7th period.English is offered during either 6th or 7th period.
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1.4 Problem Solving in Chemistry >
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Sample Problem 1.2
Sample Problem 1.2
• Manny must take lunch during 5th period.
• Art is only available during 2nd period. • Physical Education is only available
during 4th period.
Analyze Identify the relevant concepts.
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
Place lunch, Art, and Physical Education into Manny’s schedule.
Solve
Apply the concepts to this problem.2
Sample Problem 1.2
Sample Problem 1.2
Manny’s Schedule 1st period
2nd period Art 3rd period
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
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Fill the remainder of the classes into Manny’s schedule.
Solve
Apply the concepts to this problem.2
Sample Problem 1.2
Sample Problem 1.2
Manny’s Schedule 1st period Algebra II
2nd period Art
3rd period Chemistry 4th period P.E.
5th period Lunch 6th period English 7th period History
Since Art is only
available during 2nd period, Manny must take Algebra II during 1st period. Since P.E. is only available
during 4th period, he must take History
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
The steps for solving a nonnumeric
problem are:
A. solve and evaluate.
B. analyze, solve, and evaluate.
C. analyze and solve.
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
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The steps for solving a nonnumeric
problem are:
A. solve and evaluate.
B. analyze, solve, and evaluate.
C. analyze and solve.
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry > Key ConceptsKey Concepts
The steps for solving a nonnumeric
Effective problem solving always involves developing a plan and then implementing that plan.
1.4 Problem Solving in Chemistry >
1.4 Problem Solving in Chemistry >
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