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Chemistry: Content Knowledge (0245)
Test at a Glance
Test Name

Chemistry: Content Knowledge

Test Code

0245

Time

2 hours

Number of Questions

100

Format

Multiple-choice questions; calculator use prohibited
Approximate
Number of
Questions

Approximate
Percentage of
Examination

Matter and Energy; Heat,
Thermodynamics, and
Thermochemistry

16

16%

II.

Atomic and Nuclear Structure

10

10%

III.

Nomenclature; the Mole, Chemical
Bonding, and Geometry

14

14%

Periodicity and Reactivity; Chemical
Reactions; Biochemistry and Organic
Chemistry

23

23%

Solutions and Solubility; Acid/Base
Chemistry

12

12%

History and Nature of Science;
Science, Technology, and Social
Perspectives

11

11%

Mathematics, Measurement, and Data
Management; Laboratory Procedures
and Safety

14

14%

Content Categories

I.

IV.

V.
VII

I

VI.

VI

II

V

III
IV

VII.

About This Test
The Chemistry: Content Knowledge test is designed to measure the knowledge and competencies necessary for a beginning
teacher of secondary school Chemistry. Examinees have typically completed or nearly completed a bachelor’s degree program
with appropriate coursework in chemistry and education. This test may contain some questions that will not count towards your
score.

Copyright © 2011 by Educational Testing Service. All rights reserved. ETS, the ETS logo, LISTENING. LEARNING. LEADING., PRAXIS I, PRAXIS II, and PRAXIS III
are registered trademarks of Educational Testing Service (ETS) in the United States and other countries. PRAXIS and THE PRAXIS SERIES are trademarks of ETS. 8601

1
Chemistry: Content Knowledge (0245)

The development of the test questions and the
construction of the test reflect the National Science
Education Standards (NSES) and the National Science
Teacher Association (NSTA) standards and recognize that
there are conceptual and procedural schemes that unify the
various scientific disciplines. These fundamental concepts
and processes (systems; models; constancy and change;
equilibrium; form and function) are useful in understanding
the natural world. Insofar as possible, then, the test
questions will have the primary objective of evaluating the
content areas by using questions that focus on conceptual
understanding, critical thinking, and problem solving in
science. The test content is developed and reviewed in
collaboration with practicing high school chemistry teachers,
teacher-educators, and higher education content specialists
to keep the test updated and representative of current
standards.
The 100 multiple choice questions include concepts,
terms, phenomena, methods, applications, data analysis,
and problem solving in Chemistry, and include an
understanding of the impact of science and technology on
the environment and human affairs. The topics are typically
those covered in introductory college-level chemistry
courses, although some questions of a more advanced
nature are included, because secondary-school teachers
must understand the subject matter from a more advanced
viewpoint than that presented to their students.
Examinees will not need to use calculators in taking this
test. The test book contains a periodic table of the elements
and a table of information that presents various physical
constants and a few conversion factors among SI units.
Whenever necessary, additional values of physical constants
are printed with the text of a question.

Topics Covered
Representative descriptions of topics covered in each
category are provided below.
I. Matter and Energy; Heat and Thermodynamics, and
Thermochemistry
A. Matter and Energy
1. Organization of matter
• Pure substances (elements and compounds)
• Mixtures (homogeneous, heterogeneous,
solutions, suspensions)
• States of matter (solid, liquid, gas, plasma)
2. Particulate structure of matter
• Atoms, ions, molecules
3. Differences between chemical and physical
properties and chemical and physical changes
• Chemical vs. physical properties
• Chemical vs. physical changes
• Intensive vs. extensive properties
4. Conservation of energy and the conservation of
matter in chemical processes
• Law of conservation of energy
• Law of conservation of matter
5. Different forms of energy
• Kinetic and potential
• Chemical, electrical, electromagnetic, nuclear,
and thermal energy
• Conversions between different forms of energy
within chemical systems

2
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Chemistry: Content Knowledge (0245)

B. Thermodynamics in Chemistry
1. Temperature, thermal energy, and heat capacity,
including temperature scales, units of energy, and
calculations involving these concepts
• Temperature and temperature scales

II. Atomic and Nuclear Structure
1. Current model of atomic structure
• Description of atomic model (e.g., subatomic
particles, orbitals, quantum numbers)

• Thermal energy and units of energy

• Experimental basis (e.g., cathode ray tube, gold
foil experiment, spectral lines)

• Heat transfer

• Isotopes (mass number, average atomic mass)

• Heat capacity and specific heat
• Calorimetry calculations
2. Concepts and calculations involving phase
transitions between the various states of matter
• Phase transitions and diagrams
• Heats of vaporization, fusion, and sublimation
• Heating curves
3. Kinetic molecular theory and ideal gas laws
• Assumptions of the kinetic molecular theory
• Ideal gases and the ideal gas laws (e.g.,
applications, calculations)
• Real gas behavior
4. Energetics of chemical reactions
• Exothermic and endothermic reactions
• Bond energy; Hess’s law
5. How the laws of thermodynamics relate to
chemical reactions and phase changes
• Laws of thermodynamics
• Spontaneous/reversible processes
• Change in enthalpy, entropy, and Gibbs energy
in chemical/physical processes

2. Electron configuration of the elements based on the
periodic table
• Aufbau principle, Hund’s rule, Pauli exclusion
principle
• Correlation between electron configuration and
periodic table
• Relationship between electron configuration and
chemical and physical properties
3. Radioactivity
• Characteristics of alpha particles, beta particles,
and gamma radiation
• Radioactive decay processes; half life
• Fission, fusion, and other nuclear reactions
• Balancing nuclear reactions and identifying
products of nuclear reactions
4. How the electronic absorption and emission
spectra of elements are related to electron energy
levels
• Electronic energy transitions in atoms (e.g.,
ground state, excited states, emission/absorption
of energy)
• Energy of electronic absorption/emission spectral
lines in various regions of the electromagnetic
spectrum
• Relationship between energy, frequency, and
wavelength

3
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Chemistry: Content Knowledge (0245)

III. Nomenclature; the Mole, Chemical Bonding, and
Geometry
A. Nomenclature and Chemical Composition
1. Systematic names and chemical formulas of
simple inorganic compounds
• Binary compounds
• Acids, bases, and salts
• Hydrates
2. Names of common organic compounds based on
their functional groups
• Alkanes, alkenes, and alkynes

5. Intermolecular interactions
• Hydrogen bonding
• London forces (instantaneous induced
dipole-dipole)
• Dipole-dipole
• Dipole-induced dipole
6. How bonding and structure correlate with
physical properties
• Boiling points and melting points
• Solubility
• Equilibrium vapor pressure

• Alcohols, ethers, ketones, aldehydes, amines
3. Mole concept and how it applies to chemical
composition
• Avogadro’s number, molar mass, and mole
conversions
• Calculation of empirical and molecular
formulas
• Percent composition

IV. Periodicity and Reactivity; Chemical Reactions;
Biochemistry and Organic Chemistry
A. Periodicity
1. Basis of the periodic table and general layout
• Arranged in groups and periods
• Atomic number and mass
• Symbols of the elements

B. Bonding and Structure
1. Common properties of bonds
• Relative bond lengths
• Relative bond strengths
2. Bond types

• Metals, nonmetals, metalloids
• Transition elements
2. Periodic trends in physical and chemical
properties of the elements
• Atomic/ionic radius

• Ionic bonding

• Ionization energy

• Covalent bonding (polar, nonpolar,
hybridization)

• Electron affinity

• Metallic bonding
3. Structural formulas and molecular geometry
(shape)

• Electronegativity
• Physical properties (e.g., boiling/melting points,
conductivity)
• Chemical reactivity

• Lewis structures including formal charges
• Resonance structures
• Molecular geometry (shape and approximate
bond angles)
4. Identify polar and nonpolar molecules
• Analysis of bonding in the molecule
• Symmetry of molecular structure

4
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Chemistry: Content Knowledge (0245)

B. Chemical Reactions and Basic Principles
1. Balancing chemical equations

C. Biochemistry and Organic Chemistry
1. Important biochemical compounds

• Simple chemical equations

• Carbohydrates, including simple sugars

• Chemical equations involving
oxidation-reduction

• Lipids

2. Stoichiometric calculations
• Simple calculations based on balanced
chemical equations involving moles, mass, and
volume
• Limiting reagent calculations and percent yield
3. Identify, write, and predict products of simple
reaction types
• Combustion, neutralization
• Decomposition, dehydration
• Single and double replacement
• Oxidation-reduction
4. Chemical kinetics

• Proteins and amino acids
• DNA and RNA
• Products of photosynthesis and respiration
2. Common organic compounds (i.e., identify
functional groups)
• Alcohols
• Ketones and aldehydes
• Alkanes, alkenes, and alkynes
• Ethers
• Carboxylic acids
• Amines
• Benzene

• Rate laws, rate constants, and reaction order
• Activation energy and reaction mechanisms
including catalysts
• Factors affecting reaction rate such as
concentration, surface area, and temperature
5. Chemical reaction equilibrium
• Equilibrium constants
• Le Châtelier’s principle
6. Oxidation-reduction reactions and how to
determine oxidation states
• Oxidation states
• Identify oxidation-reduction reactions and half
reactions
• Standard reduction potentials
• Electrochemical reactivity series
• Electrochemical cells

V. Solutions and Solubility; Acid-Base Chemistry
A. Solutions and Solubility
1. Solution terminology and calculations
• Dilute, concentrated
• Saturated, unsaturated, supersaturated
• Solvent, solute
• Concentration units (e.g., molarity, molality,
mole fraction, parts per million (ppm), parts per
billion (ppb), percent by mass or volume)
• Preparation of solutions of varying
concentrations
2. Factors affecting solubility and dissolution rate
• Dissolution rate (i.e., temperature, pressure,
surface area, agitation)
• Solubility and solubility curves (temperature
and pressure dependent)
3. Solution phenomena based on colligative
properties
• Freezing point depression
• Boiling point elevation
• Vapor pressure effects
• Osmotic pressure

5
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Chemistry: Content Knowledge (0245)

4. Common applications of equilibrium in ionic
solutions
• Solubility of ionic compounds (e.g., solubility
rules, slightly soluble compounds)
• Ksp calculations including percent dissociation
and precipitation

VI. History and Nature of Science; Science, Technology,
and Social Perspectives
A. History and Nature of Scientific Inquiry
1. Processes involved in scientific inquiry
• Formulating problems

• Common ion effect

• Forming and testing hypotheses

• Electrolytes, nonelectrolytes, and electrical
conductivity

• Development of theories, models, and laws
(postulates, assumptions)

B. Acid-Base Chemistry
1. Define and identify acids and bases and know
their properties
• Arrhenius acids and bases

• Process skills including observing, concluding,
comparing, inferring, categorizing, and
generalizing
2. Experimental design
• Testing hypotheses

• Brønsted-Lowry acids and bases
• Lewis acids and bases

• Significance of controls
• Use and identification of variables

• Neutralization and equivalence point
2. The pH scale and calculations involving pH and
pOH

• Data collection planning
3. Nature of scientific knowledge
• Subject to change

• pH scale
• Calculation of pH and pOH
+

−

• Calculation of [H ] and [OH ]
• Knows the meaning of Kw
3. Concepts and calculations involving acid-base
titrations
• Use and selection of indicators (e.g.,
phenolphthalein, litmus paper)
• Endpoint determination
• Calculations based on titrations
4. Equilibrium relationships in acid-base chemistry
• Strong/weak acids and bases, including
common examples

• Consistent with experimental evidence
• Reproducibility
• Unifying concepts and processes (e.g.,
systems, models, constancy and change,
equilibrium, form and function)
4. Major historical developments in chemistry and
the contributions of major historical figures
• How current chemical principles and models
developed over time
• Major developments in chemistry (e.g., atomic
model, ideal gas behavior) including major
historical figures

• Monoprotic and polyprotic acids
• Ka, Kb, and percent dissociation
• Hydrolysis (acidic and basic salts)
• Buffer solutions

6
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Chemistry: Content Knowledge (0245)

B. Science, Technology, Society, and the
Environment
1. Impact of chemistry and technology on society
and the environment
• Pharmaceuticals

VII. Mathematics, Measurement, and Data Management;
Laboratory Procedures and Safety
1. Collect, evaluate, manipulate, interpret, and report
data

• Acid rain

• Significant figures in collected data and
calculations

• Medical imaging

• Organization and presentation of data

• Air and water pollution

• Knows how to interpret and draw conclusions
from data presented in tables, graphs, and charts
(e.g., trends in data, relationships between
variables, predictions and conclusions based on
data)

• Greenhouse gases
• Ozone layer depletion
• Waste disposal and recycling
• Nanotechnology
2. Applications of chemistry in daily life

2. Units of measurement, notation systems,
conversions, and mathematics used in chemistry

• Plastics, soap, batteries, fuel cells, and other
consumer products

• Standard units of measurement

• Water purification

• Scientific notation

• Chemical properties of household products

• Measurement equipment

3. Advantages and disadvantages associated with
various types of energy production
• Renewable and nonrenewable energy
resources
• Conservation and recycling
• Pros and cons of power generation based on
various sources such as fossil and nuclear fuel,
hydropower, wind power, solar power, and
geothermal power

• Unit conversion

3. Basic error analysis
• Determining mean
• Accuracy and precision
• Identifying sources and effects of error
• Percent error
4. Appropriate preparation, use, storage, and disposal
of materials in the laboratory
• Appropriate use and storage
• Safe disposal
• Preparation for classroom use
• Safe procedures and safety precautions
5. Appropriate use, maintenance, and calibration of
laboratory equipment
• Appropriate use and storage
• Maintenance and calibration
• Preparation for classroom use
• Safety procedures and precautions when using
equipment
6. Safety procedures and precautions for the high
school chemistry laboratory
• Location and use of standard safety equipment
such as eyewash and shower
• Laboratory safety rules for students
• Appropriate apparel and conduct in the
laboratory, such as wearing goggles
• Emergency procedures

7
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Chemistry: Content Knowledge (0245)

Sample Test Questions
The sample questions that follow illustrate the kinds of
questions in the test. They are not, however, representative
of the entire scope of the test in either content or difficulty.
Answers with explanations follow the questions.

4.

Directions: Each of the sentences or incomplete statements
below is followed by four suggested answers or completions.
Select the one that is best in each case.
1. In a laboratory experiment, crystals are heated in a dry
glass test tube using a Bunsen burner. During heating, a
clear liquid is observed inside the mouth of the test tube.
Which of the following is the most reasonable
conclusion drawn from this observation?
(A) The gas fuel used to heat the crystals forms water
as it burns.
(B) The crystals give off water when heated.
(C) The crystals give off both hydrogen and oxygen
gases that combine to form water.
(D) Condensation from the air collects on the test tube
as the crystals are heated.
2. Suppose that a mixture of 8 g of sugar, 5.20 g of salt,
and 100.01 g of flour is prepared. What is the total mass
of the mixture expressed in exponential notation and
with the correct number of significant figures?
(A) 1 × 10

2

(B) 1.1 × 10

A sample of a pure solid substance is heated at a
constant rate and its temperature recorded as a function
of time. A graph of the data is shown above. At about
what temperature is the heat added being used to melt
the substance?
(A) 25°C
(B) 41°C
(C) 53°C
(D) 60°C
5. Changes in which the entropy of the system increases
include which of the following?
I. Melting ice at room temperature
II. Evaporating water at room temperature
III. Dissolving NaCl in room-temperature water

2

(C) 1.13 × 10

(A) I only
2

(D) 1.132 × 10

(B) III only
2

(C) I and II only
(D) I, II, and III

3. Use of a small quantity of which of the following gases in
a classroom requires special consideration because the
gas is poisonous?
(A) Steam
(B) Hydrogen
(C) Hydrogen sulfide
(D) Carbon dioxide

8
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Chemistry: Content Knowledge (0245)

6.
Isotope

Isotopic Mass
(amu)

Percent
Abundance

41
44
46

40.9
43.9
45.9

10.0%
30.0%
60.0%

9. Which, if any, of the following structural formulas
represent the same compound?

Structure I
CH 2

7. In an attempt to compare the half-lives of two
radioactive elements, X and Y, a scientist set aside
400 g of each. After six months, the scientist found that
25 g of X and 200 g of Y remained. Which of the
following statements is true?

C

H

Structure IV
CH 3

C

CH 3

CH 3
C

C

CH 3

CH 3

CH 2

Structure III

(C) 44.8
(D) 45.9

CH 3

CH 3

(A) 42.1
(B) 43.6

CH 3

C

A fictional element with the three naturally occurring
isotopes described above would be listed in the periodic
table with an atomic mass of

Structure II

H

C

H

H

(A) I and II only
(B) III and IV only
(C) I, II, III, and IV
(D) None of the formulas represent identical
compounds.

(A) The half-life of Y is twice the half-life of X.
(B) The half-life of Y is four times the half-life of X.

10. The correct formula for copper (I) sulfate is

(C) The half-life of Y is eight times the half-life of X.

(A) CuSO4

(D) Unless the exact time interval is established, a
comparison cannot be made.

(B) Cu2SO4
(C) Cu4SO
(D) Cu4SO4

8. Which of the following statements is correct about any
chemical reaction that is at equilibrium?
(A) The molecules stop reacting.
(B) Only side reactions continue; the main reaction
stops.
(C) Forward and backward reactions occur at equal
rates.

–4

11. The pH of a 4.0 × 10 M HCl solution is between
(A) 2 and 3
(B) 3 and 4
(C) 4 and 5
(D) 5 and 6

(D) There are as many molecules of reactant as there
are molecules of product.

9
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Chemistry: Content Knowledge (0245)

12. Ag + e → Ag(s)
+

–

0

E = +0.80 V

Cr + 3e → Cr(s) E = – 0.74 V
3+

–

0

Based on the standard reduction potentials for
chromium and silver shown above, what is the cell
potential for the reaction below?
3 Ag + Cr(s) → 3 Ag(s) + Cr
+

3+

16. When 0.50 mol of octane, C8H18, is burned completely
and the reaction products are brought to 20°C and 1
atmosphere, the products include approximately
(A) 18 moles of water
(B) Close to 100 liters of carbon dioxide
(C) Close to 180 liters of carbon dioxide
(D) Close to 200 liters of water vapor

(A) 0.06 V
(B) 1.54 V

17. Which of the following properties of a substance
depends on the amount of the sample?

(C) 1.66 V
(D) 3.14 V

(A) Temperature
(B) Half-life

13. Which of the following is an important function of
carbohydrates in living organisms?
(A) They are the primary component of enzymes.
(B) They constitute a source of energy for the organism.
(C) They contain the genetic information of the cell.
(D) They comprise structural parts such as cartilage
and tendons.

(C) Density
(D) Inertia
18. What quantity of oxygen, O2, contains very nearly the
same number of molecules as 36.0 grams of water,
H2O ?
(A) 64.0 grams
(B) 32.0 grams

14. Liquids with molecules held together by van der Waals
forces have which of the following properties?
(A) High solubilities in water
(B) High melting points
(C) Low boiling points
(D) Significant electrical conductivities in the solid
phase

(C) 16.0 grams
(D)

8.0 grams

19. In the reaction of solutions of silver nitrate and sodium
phosphate, a silver precipitate is formed. The balanced
ionic equation for this reaction is

(A)

5.0 ¥ 10

-12

(B)

1. 0 ¥ 10

-11

(C)
(D)

3

3

2.5 ¥ 10
1. 0 ¥ 10

-12

-11

M
M

3–

+

15. The solubility product, Ksp, for Mg(OH)2 is
-11
2+
1.0 x 10 . What is the concentration of Mg
in a saturated solution of this base?

+

+

3–

(A) Ag + PO4

Na + AgPO4(s)

(B) Ag + PO4

AgPO4(s)

+

3–

Ag3PO4(s)

+

3–

Ag4PO4(s)

(C) 3 Ag + PO4
(D) 4 Ag + PO4

20. The two elements in which of the following pairs have a
valence of +3 ?
(A) Al and Ga
(B) N and O

M

(C) Li and Na
(D) F and Cl

M

10
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Chemistry: Content Knowledge (0245)

Answers
1. The crystals when heated may give off water in the form of
steam. When this moist air reaches the top of the tube,
condensation occurs inside the top of the tube because the tube
is cooler than the rising warmer air. The correct answer is B.
2. For addition, the correct number of significant figures to the
right of the decimal point in the answer is the same as the
smallest number of digits to the right of the decimal point in any
of the terms to be added. In this example, that number is zero,
which gives 113. as the total mass of the mixture to the correct
number of significant figures. The number is then converted to
exponential notation. The correct answer is C.
3. Of the gases listed, only hydrogen sulfide is poisonous in
small quantities. The correct answer is C.

12. The correct answer is B.
0
0
E = E (Ag) – E (Cr) = 0.80 + 0.74 = 1.54
13. Choice B is the correct answer. Carbohydrates are broken
down to glucose during digestion, and glucose is oxidized in the
cell to produce energy in the form of ATP.
14. Van der Waals forces is the collective name for weak
attractive forces between molecules. In general, liquids held
together only by these forces have low boiling points relative to
their molecular weights since only weak forces must be overcome
during vaporization. Thus, C is the correct answer.
15. The Ksp of a salt is the product of the ion concentrations in a
2+

–

4. When a substance is heated, its temperature increases
unless it is undergoing a phase change. During melting, the
temperature remains constant since the energy absorbed is being
used to do work against the attractive forces in becoming liquid
particles. In the diagram, melting begins around 9 minutes and a
temperature around 53°C. The correct answer is C.

– 2

saturated solution. In the present case, Ksp = [Mg ][OH ] . Since
2+

2+

2+ 2

2+ 3

–11

[OH ] = 2[Mg ], Ksp = [Mg ](2[Mg ]) = 4[Mg ] = 1.0 x 10 .
2+

2+

–11

Solving for Mg one obtains [Mg ] = [1.0 x 10

1/3

/ 4] .

The correct answer is C.
16. The equation for the reaction is 2 C8H18 + 25 O2 →
16 CO2 + 18 H2O.
Choice B is correct; 0.5 mol octane produces 4 mol of CO2,
which, at 20°C, occupies

5. Entropy is a measure of disorder. In all three cases, the
disorder of the system increases. The correct answer is D.
6. A quick calculation using the isotope number,
(0.1 x 40.9) + (0.3 x 43.9) + (0.6 x 45.9) = 44.8, gives the correct
answer, C.
7. Element X decayed from 400 g to 25 g, in a time period of 4
half-lives. Element Y decayed from 400 g to 200 g, in a time
period of 1 half-life. Y decays slower than X, and the half-life of Y
is 4 times that of X. The correct answer is B.
8. The correct answer is C. The definition of an equilibrium is
that the forward and backward reactions occur at equal rates.
9. The correct answer is A. I and II are the same compound,
2-methyl-1-propene. III and IV are cis and trans isomers. They are
geometric isomers with different properties.
+

10. The correct answer is B. Copper (I) is Cu and sulfate is
2–
SO4 ; therefore, for charge neutrality the compound is Cu2SO4.
11. Choice B is the correct answer. HCl dissociates completely,
+
–4
[H ] = 4.0 x 10 M and the pH is between 3 and 4.

( 4 mol ¥ 22.4 L / mol) 293 K
= 96 L @ 100 L
273 K
17. Inertia is a property of a substance, proportional to its mass,
and therefore depends on the amount of the sample. The correct
answer is D.
18. The correct answer is A. 36 grams of water is 2 moles
(2 x 18 grams). A 2-mole sample of O2 contains the same number
of molecules as does 2 moles of any other substance. A 2-mole
sample of O2 would have a mass of 2 x 32.0 grams = 64.0 grams.
19. The correct answer is C. The precipitate formed is Ag3PO4.
Atoms and net charge must be conserved in a chemical reaction,
so the reactants and products must have equal numbers of each
type of atom and the same net charge.
20. The correct answer is A. The valences of Al and Ga are
both +3.

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الجوانب الأساسية لدراسة موضوعات الكيمياء

  • 1. Chemistry: Content Knowledge (0245) Test at a Glance Test Name Chemistry: Content Knowledge Test Code 0245 Time 2 hours Number of Questions 100 Format Multiple-choice questions; calculator use prohibited Approximate Number of Questions Approximate Percentage of Examination Matter and Energy; Heat, Thermodynamics, and Thermochemistry 16 16% II. Atomic and Nuclear Structure 10 10% III. Nomenclature; the Mole, Chemical Bonding, and Geometry 14 14% Periodicity and Reactivity; Chemical Reactions; Biochemistry and Organic Chemistry 23 23% Solutions and Solubility; Acid/Base Chemistry 12 12% History and Nature of Science; Science, Technology, and Social Perspectives 11 11% Mathematics, Measurement, and Data Management; Laboratory Procedures and Safety 14 14% Content Categories I. IV. V. VII I VI. VI II V III IV VII. About This Test The Chemistry: Content Knowledge test is designed to measure the knowledge and competencies necessary for a beginning teacher of secondary school Chemistry. Examinees have typically completed or nearly completed a bachelor’s degree program with appropriate coursework in chemistry and education. This test may contain some questions that will not count towards your score. Copyright © 2011 by Educational Testing Service. All rights reserved. ETS, the ETS logo, LISTENING. LEARNING. LEADING., PRAXIS I, PRAXIS II, and PRAXIS III are registered trademarks of Educational Testing Service (ETS) in the United States and other countries. PRAXIS and THE PRAXIS SERIES are trademarks of ETS. 8601 1
  • 2. Chemistry: Content Knowledge (0245) The development of the test questions and the construction of the test reflect the National Science Education Standards (NSES) and the National Science Teacher Association (NSTA) standards and recognize that there are conceptual and procedural schemes that unify the various scientific disciplines. These fundamental concepts and processes (systems; models; constancy and change; equilibrium; form and function) are useful in understanding the natural world. Insofar as possible, then, the test questions will have the primary objective of evaluating the content areas by using questions that focus on conceptual understanding, critical thinking, and problem solving in science. The test content is developed and reviewed in collaboration with practicing high school chemistry teachers, teacher-educators, and higher education content specialists to keep the test updated and representative of current standards. The 100 multiple choice questions include concepts, terms, phenomena, methods, applications, data analysis, and problem solving in Chemistry, and include an understanding of the impact of science and technology on the environment and human affairs. The topics are typically those covered in introductory college-level chemistry courses, although some questions of a more advanced nature are included, because secondary-school teachers must understand the subject matter from a more advanced viewpoint than that presented to their students. Examinees will not need to use calculators in taking this test. The test book contains a periodic table of the elements and a table of information that presents various physical constants and a few conversion factors among SI units. Whenever necessary, additional values of physical constants are printed with the text of a question. Topics Covered Representative descriptions of topics covered in each category are provided below. I. Matter and Energy; Heat and Thermodynamics, and Thermochemistry A. Matter and Energy 1. Organization of matter • Pure substances (elements and compounds) • Mixtures (homogeneous, heterogeneous, solutions, suspensions) • States of matter (solid, liquid, gas, plasma) 2. Particulate structure of matter • Atoms, ions, molecules 3. Differences between chemical and physical properties and chemical and physical changes • Chemical vs. physical properties • Chemical vs. physical changes • Intensive vs. extensive properties 4. Conservation of energy and the conservation of matter in chemical processes • Law of conservation of energy • Law of conservation of matter 5. Different forms of energy • Kinetic and potential • Chemical, electrical, electromagnetic, nuclear, and thermal energy • Conversions between different forms of energy within chemical systems 2 Copyright © 2011 by Educational Testing Service. All rights reserved. ETS, the ETS logo, LISTENING. LEARNING. LEADING., PRAXIS I, PRAXIS II, and PRAXIS III are registered trademarks of Educational Testing Service (ETS) in the United States and other countries. PRAXIS and THE PRAXIS SERIES are trademarks of ETS. 8601
  • 3. Chemistry: Content Knowledge (0245) B. Thermodynamics in Chemistry 1. Temperature, thermal energy, and heat capacity, including temperature scales, units of energy, and calculations involving these concepts • Temperature and temperature scales II. Atomic and Nuclear Structure 1. Current model of atomic structure • Description of atomic model (e.g., subatomic particles, orbitals, quantum numbers) • Thermal energy and units of energy • Experimental basis (e.g., cathode ray tube, gold foil experiment, spectral lines) • Heat transfer • Isotopes (mass number, average atomic mass) • Heat capacity and specific heat • Calorimetry calculations 2. Concepts and calculations involving phase transitions between the various states of matter • Phase transitions and diagrams • Heats of vaporization, fusion, and sublimation • Heating curves 3. Kinetic molecular theory and ideal gas laws • Assumptions of the kinetic molecular theory • Ideal gases and the ideal gas laws (e.g., applications, calculations) • Real gas behavior 4. Energetics of chemical reactions • Exothermic and endothermic reactions • Bond energy; Hess’s law 5. How the laws of thermodynamics relate to chemical reactions and phase changes • Laws of thermodynamics • Spontaneous/reversible processes • Change in enthalpy, entropy, and Gibbs energy in chemical/physical processes 2. Electron configuration of the elements based on the periodic table • Aufbau principle, Hund’s rule, Pauli exclusion principle • Correlation between electron configuration and periodic table • Relationship between electron configuration and chemical and physical properties 3. Radioactivity • Characteristics of alpha particles, beta particles, and gamma radiation • Radioactive decay processes; half life • Fission, fusion, and other nuclear reactions • Balancing nuclear reactions and identifying products of nuclear reactions 4. How the electronic absorption and emission spectra of elements are related to electron energy levels • Electronic energy transitions in atoms (e.g., ground state, excited states, emission/absorption of energy) • Energy of electronic absorption/emission spectral lines in various regions of the electromagnetic spectrum • Relationship between energy, frequency, and wavelength 3 Copyright © 2011 by Educational Testing Service. All rights reserved. ETS, the ETS logo, LISTENING. LEARNING. LEADING., PRAXIS I, PRAXIS II, and PRAXIS III are registered trademarks of Educational Testing Service (ETS) in the United States and other countries. PRAXIS and THE PRAXIS SERIES are trademarks of ETS. 8601
  • 4. Chemistry: Content Knowledge (0245) III. Nomenclature; the Mole, Chemical Bonding, and Geometry A. Nomenclature and Chemical Composition 1. Systematic names and chemical formulas of simple inorganic compounds • Binary compounds • Acids, bases, and salts • Hydrates 2. Names of common organic compounds based on their functional groups • Alkanes, alkenes, and alkynes 5. Intermolecular interactions • Hydrogen bonding • London forces (instantaneous induced dipole-dipole) • Dipole-dipole • Dipole-induced dipole 6. How bonding and structure correlate with physical properties • Boiling points and melting points • Solubility • Equilibrium vapor pressure • Alcohols, ethers, ketones, aldehydes, amines 3. Mole concept and how it applies to chemical composition • Avogadro’s number, molar mass, and mole conversions • Calculation of empirical and molecular formulas • Percent composition IV. Periodicity and Reactivity; Chemical Reactions; Biochemistry and Organic Chemistry A. Periodicity 1. Basis of the periodic table and general layout • Arranged in groups and periods • Atomic number and mass • Symbols of the elements B. Bonding and Structure 1. Common properties of bonds • Relative bond lengths • Relative bond strengths 2. Bond types • Metals, nonmetals, metalloids • Transition elements 2. Periodic trends in physical and chemical properties of the elements • Atomic/ionic radius • Ionic bonding • Ionization energy • Covalent bonding (polar, nonpolar, hybridization) • Electron affinity • Metallic bonding 3. Structural formulas and molecular geometry (shape) • Electronegativity • Physical properties (e.g., boiling/melting points, conductivity) • Chemical reactivity • Lewis structures including formal charges • Resonance structures • Molecular geometry (shape and approximate bond angles) 4. Identify polar and nonpolar molecules • Analysis of bonding in the molecule • Symmetry of molecular structure 4 Copyright © 2011 by Educational Testing Service. All rights reserved. ETS, the ETS logo, LISTENING. LEARNING. LEADING., PRAXIS I, PRAXIS II, and PRAXIS III are registered trademarks of Educational Testing Service (ETS) in the United States and other countries. PRAXIS and THE PRAXIS SERIES are trademarks of ETS. 8601
  • 5. Chemistry: Content Knowledge (0245) B. Chemical Reactions and Basic Principles 1. Balancing chemical equations C. Biochemistry and Organic Chemistry 1. Important biochemical compounds • Simple chemical equations • Carbohydrates, including simple sugars • Chemical equations involving oxidation-reduction • Lipids 2. Stoichiometric calculations • Simple calculations based on balanced chemical equations involving moles, mass, and volume • Limiting reagent calculations and percent yield 3. Identify, write, and predict products of simple reaction types • Combustion, neutralization • Decomposition, dehydration • Single and double replacement • Oxidation-reduction 4. Chemical kinetics • Proteins and amino acids • DNA and RNA • Products of photosynthesis and respiration 2. Common organic compounds (i.e., identify functional groups) • Alcohols • Ketones and aldehydes • Alkanes, alkenes, and alkynes • Ethers • Carboxylic acids • Amines • Benzene • Rate laws, rate constants, and reaction order • Activation energy and reaction mechanisms including catalysts • Factors affecting reaction rate such as concentration, surface area, and temperature 5. Chemical reaction equilibrium • Equilibrium constants • Le Châtelier’s principle 6. Oxidation-reduction reactions and how to determine oxidation states • Oxidation states • Identify oxidation-reduction reactions and half reactions • Standard reduction potentials • Electrochemical reactivity series • Electrochemical cells V. Solutions and Solubility; Acid-Base Chemistry A. Solutions and Solubility 1. Solution terminology and calculations • Dilute, concentrated • Saturated, unsaturated, supersaturated • Solvent, solute • Concentration units (e.g., molarity, molality, mole fraction, parts per million (ppm), parts per billion (ppb), percent by mass or volume) • Preparation of solutions of varying concentrations 2. Factors affecting solubility and dissolution rate • Dissolution rate (i.e., temperature, pressure, surface area, agitation) • Solubility and solubility curves (temperature and pressure dependent) 3. Solution phenomena based on colligative properties • Freezing point depression • Boiling point elevation • Vapor pressure effects • Osmotic pressure 5 Copyright © 2011 by Educational Testing Service. All rights reserved. ETS, the ETS logo, LISTENING. LEARNING. LEADING., PRAXIS I, PRAXIS II, and PRAXIS III are registered trademarks of Educational Testing Service (ETS) in the United States and other countries. PRAXIS and THE PRAXIS SERIES are trademarks of ETS. 8601
  • 6. Chemistry: Content Knowledge (0245) 4. Common applications of equilibrium in ionic solutions • Solubility of ionic compounds (e.g., solubility rules, slightly soluble compounds) • Ksp calculations including percent dissociation and precipitation VI. History and Nature of Science; Science, Technology, and Social Perspectives A. History and Nature of Scientific Inquiry 1. Processes involved in scientific inquiry • Formulating problems • Common ion effect • Forming and testing hypotheses • Electrolytes, nonelectrolytes, and electrical conductivity • Development of theories, models, and laws (postulates, assumptions) B. Acid-Base Chemistry 1. Define and identify acids and bases and know their properties • Arrhenius acids and bases • Process skills including observing, concluding, comparing, inferring, categorizing, and generalizing 2. Experimental design • Testing hypotheses • Brønsted-Lowry acids and bases • Lewis acids and bases • Significance of controls • Use and identification of variables • Neutralization and equivalence point 2. The pH scale and calculations involving pH and pOH • Data collection planning 3. Nature of scientific knowledge • Subject to change • pH scale • Calculation of pH and pOH + − • Calculation of [H ] and [OH ] • Knows the meaning of Kw 3. Concepts and calculations involving acid-base titrations • Use and selection of indicators (e.g., phenolphthalein, litmus paper) • Endpoint determination • Calculations based on titrations 4. Equilibrium relationships in acid-base chemistry • Strong/weak acids and bases, including common examples • Consistent with experimental evidence • Reproducibility • Unifying concepts and processes (e.g., systems, models, constancy and change, equilibrium, form and function) 4. Major historical developments in chemistry and the contributions of major historical figures • How current chemical principles and models developed over time • Major developments in chemistry (e.g., atomic model, ideal gas behavior) including major historical figures • Monoprotic and polyprotic acids • Ka, Kb, and percent dissociation • Hydrolysis (acidic and basic salts) • Buffer solutions 6 Copyright © 2011 by Educational Testing Service. All rights reserved. ETS, the ETS logo, LISTENING. LEARNING. LEADING., PRAXIS I, PRAXIS II, and PRAXIS III are registered trademarks of Educational Testing Service (ETS) in the United States and other countries. PRAXIS and THE PRAXIS SERIES are trademarks of ETS. 8601
  • 7. Chemistry: Content Knowledge (0245) B. Science, Technology, Society, and the Environment 1. Impact of chemistry and technology on society and the environment • Pharmaceuticals VII. Mathematics, Measurement, and Data Management; Laboratory Procedures and Safety 1. Collect, evaluate, manipulate, interpret, and report data • Acid rain • Significant figures in collected data and calculations • Medical imaging • Organization and presentation of data • Air and water pollution • Knows how to interpret and draw conclusions from data presented in tables, graphs, and charts (e.g., trends in data, relationships between variables, predictions and conclusions based on data) • Greenhouse gases • Ozone layer depletion • Waste disposal and recycling • Nanotechnology 2. Applications of chemistry in daily life 2. Units of measurement, notation systems, conversions, and mathematics used in chemistry • Plastics, soap, batteries, fuel cells, and other consumer products • Standard units of measurement • Water purification • Scientific notation • Chemical properties of household products • Measurement equipment 3. Advantages and disadvantages associated with various types of energy production • Renewable and nonrenewable energy resources • Conservation and recycling • Pros and cons of power generation based on various sources such as fossil and nuclear fuel, hydropower, wind power, solar power, and geothermal power • Unit conversion 3. Basic error analysis • Determining mean • Accuracy and precision • Identifying sources and effects of error • Percent error 4. Appropriate preparation, use, storage, and disposal of materials in the laboratory • Appropriate use and storage • Safe disposal • Preparation for classroom use • Safe procedures and safety precautions 5. Appropriate use, maintenance, and calibration of laboratory equipment • Appropriate use and storage • Maintenance and calibration • Preparation for classroom use • Safety procedures and precautions when using equipment 6. Safety procedures and precautions for the high school chemistry laboratory • Location and use of standard safety equipment such as eyewash and shower • Laboratory safety rules for students • Appropriate apparel and conduct in the laboratory, such as wearing goggles • Emergency procedures 7 Copyright © 2011 by Educational Testing Service. All rights reserved. ETS, the ETS logo, LISTENING. LEARNING. LEADING., PRAXIS I, PRAXIS II, and PRAXIS III are registered trademarks of Educational Testing Service (ETS) in the United States and other countries. PRAXIS and THE PRAXIS SERIES are trademarks of ETS. 8601
  • 8. Chemistry: Content Knowledge (0245) Sample Test Questions The sample questions that follow illustrate the kinds of questions in the test. They are not, however, representative of the entire scope of the test in either content or difficulty. Answers with explanations follow the questions. 4. Directions: Each of the sentences or incomplete statements below is followed by four suggested answers or completions. Select the one that is best in each case. 1. In a laboratory experiment, crystals are heated in a dry glass test tube using a Bunsen burner. During heating, a clear liquid is observed inside the mouth of the test tube. Which of the following is the most reasonable conclusion drawn from this observation? (A) The gas fuel used to heat the crystals forms water as it burns. (B) The crystals give off water when heated. (C) The crystals give off both hydrogen and oxygen gases that combine to form water. (D) Condensation from the air collects on the test tube as the crystals are heated. 2. Suppose that a mixture of 8 g of sugar, 5.20 g of salt, and 100.01 g of flour is prepared. What is the total mass of the mixture expressed in exponential notation and with the correct number of significant figures? (A) 1 × 10 2 (B) 1.1 × 10 A sample of a pure solid substance is heated at a constant rate and its temperature recorded as a function of time. A graph of the data is shown above. At about what temperature is the heat added being used to melt the substance? (A) 25°C (B) 41°C (C) 53°C (D) 60°C 5. Changes in which the entropy of the system increases include which of the following? I. Melting ice at room temperature II. Evaporating water at room temperature III. Dissolving NaCl in room-temperature water 2 (C) 1.13 × 10 (A) I only 2 (D) 1.132 × 10 (B) III only 2 (C) I and II only (D) I, II, and III 3. Use of a small quantity of which of the following gases in a classroom requires special consideration because the gas is poisonous? (A) Steam (B) Hydrogen (C) Hydrogen sulfide (D) Carbon dioxide 8 Copyright © 2011 by Educational Testing Service. All rights reserved. ETS, the ETS logo, LISTENING. LEARNING. LEADING., PRAXIS I, PRAXIS II, and PRAXIS III are registered trademarks of Educational Testing Service (ETS) in the United States and other countries. PRAXIS and THE PRAXIS SERIES are trademarks of ETS. 8601
  • 9. Chemistry: Content Knowledge (0245) 6. Isotope Isotopic Mass (amu) Percent Abundance 41 44 46 40.9 43.9 45.9 10.0% 30.0% 60.0% 9. Which, if any, of the following structural formulas represent the same compound? Structure I CH 2 7. In an attempt to compare the half-lives of two radioactive elements, X and Y, a scientist set aside 400 g of each. After six months, the scientist found that 25 g of X and 200 g of Y remained. Which of the following statements is true? C H Structure IV CH 3 C CH 3 CH 3 C C CH 3 CH 3 CH 2 Structure III (C) 44.8 (D) 45.9 CH 3 CH 3 (A) 42.1 (B) 43.6 CH 3 C A fictional element with the three naturally occurring isotopes described above would be listed in the periodic table with an atomic mass of Structure II H C H H (A) I and II only (B) III and IV only (C) I, II, III, and IV (D) None of the formulas represent identical compounds. (A) The half-life of Y is twice the half-life of X. (B) The half-life of Y is four times the half-life of X. 10. The correct formula for copper (I) sulfate is (C) The half-life of Y is eight times the half-life of X. (A) CuSO4 (D) Unless the exact time interval is established, a comparison cannot be made. (B) Cu2SO4 (C) Cu4SO (D) Cu4SO4 8. Which of the following statements is correct about any chemical reaction that is at equilibrium? (A) The molecules stop reacting. (B) Only side reactions continue; the main reaction stops. (C) Forward and backward reactions occur at equal rates. –4 11. The pH of a 4.0 × 10 M HCl solution is between (A) 2 and 3 (B) 3 and 4 (C) 4 and 5 (D) 5 and 6 (D) There are as many molecules of reactant as there are molecules of product. 9 Copyright © 2011 by Educational Testing Service. All rights reserved. ETS, the ETS logo, LISTENING. LEARNING. LEADING., PRAXIS I, PRAXIS II, and PRAXIS III are registered trademarks of Educational Testing Service (ETS) in the United States and other countries. PRAXIS and THE PRAXIS SERIES are trademarks of ETS. 8601
  • 10. Chemistry: Content Knowledge (0245) 12. Ag + e → Ag(s) + – 0 E = +0.80 V Cr + 3e → Cr(s) E = – 0.74 V 3+ – 0 Based on the standard reduction potentials for chromium and silver shown above, what is the cell potential for the reaction below? 3 Ag + Cr(s) → 3 Ag(s) + Cr + 3+ 16. When 0.50 mol of octane, C8H18, is burned completely and the reaction products are brought to 20°C and 1 atmosphere, the products include approximately (A) 18 moles of water (B) Close to 100 liters of carbon dioxide (C) Close to 180 liters of carbon dioxide (D) Close to 200 liters of water vapor (A) 0.06 V (B) 1.54 V 17. Which of the following properties of a substance depends on the amount of the sample? (C) 1.66 V (D) 3.14 V (A) Temperature (B) Half-life 13. Which of the following is an important function of carbohydrates in living organisms? (A) They are the primary component of enzymes. (B) They constitute a source of energy for the organism. (C) They contain the genetic information of the cell. (D) They comprise structural parts such as cartilage and tendons. (C) Density (D) Inertia 18. What quantity of oxygen, O2, contains very nearly the same number of molecules as 36.0 grams of water, H2O ? (A) 64.0 grams (B) 32.0 grams 14. Liquids with molecules held together by van der Waals forces have which of the following properties? (A) High solubilities in water (B) High melting points (C) Low boiling points (D) Significant electrical conductivities in the solid phase (C) 16.0 grams (D) 8.0 grams 19. In the reaction of solutions of silver nitrate and sodium phosphate, a silver precipitate is formed. The balanced ionic equation for this reaction is (A) 5.0 ¥ 10 -12 (B) 1. 0 ¥ 10 -11 (C) (D) 3 3 2.5 ¥ 10 1. 0 ¥ 10 -12 -11 M M 3– + 15. The solubility product, Ksp, for Mg(OH)2 is -11 2+ 1.0 x 10 . What is the concentration of Mg in a saturated solution of this base? + + 3– (A) Ag + PO4 Na + AgPO4(s) (B) Ag + PO4 AgPO4(s) + 3– Ag3PO4(s) + 3– Ag4PO4(s) (C) 3 Ag + PO4 (D) 4 Ag + PO4 20. The two elements in which of the following pairs have a valence of +3 ? (A) Al and Ga (B) N and O M (C) Li and Na (D) F and Cl M 10 Copyright © 2011 by Educational Testing Service. All rights reserved. ETS, the ETS logo, LISTENING. LEARNING. LEADING., PRAXIS I, PRAXIS II, and PRAXIS III are registered trademarks of Educational Testing Service (ETS) in the United States and other countries. PRAXIS and THE PRAXIS SERIES are trademarks of ETS. 8601
  • 11. Chemistry: Content Knowledge (0245) Answers 1. The crystals when heated may give off water in the form of steam. When this moist air reaches the top of the tube, condensation occurs inside the top of the tube because the tube is cooler than the rising warmer air. The correct answer is B. 2. For addition, the correct number of significant figures to the right of the decimal point in the answer is the same as the smallest number of digits to the right of the decimal point in any of the terms to be added. In this example, that number is zero, which gives 113. as the total mass of the mixture to the correct number of significant figures. The number is then converted to exponential notation. The correct answer is C. 3. Of the gases listed, only hydrogen sulfide is poisonous in small quantities. The correct answer is C. 12. The correct answer is B. 0 0 E = E (Ag) – E (Cr) = 0.80 + 0.74 = 1.54 13. Choice B is the correct answer. Carbohydrates are broken down to glucose during digestion, and glucose is oxidized in the cell to produce energy in the form of ATP. 14. Van der Waals forces is the collective name for weak attractive forces between molecules. In general, liquids held together only by these forces have low boiling points relative to their molecular weights since only weak forces must be overcome during vaporization. Thus, C is the correct answer. 15. The Ksp of a salt is the product of the ion concentrations in a 2+ – 4. When a substance is heated, its temperature increases unless it is undergoing a phase change. During melting, the temperature remains constant since the energy absorbed is being used to do work against the attractive forces in becoming liquid particles. In the diagram, melting begins around 9 minutes and a temperature around 53°C. The correct answer is C. – 2 saturated solution. In the present case, Ksp = [Mg ][OH ] . Since 2+ 2+ 2+ 2 2+ 3 –11 [OH ] = 2[Mg ], Ksp = [Mg ](2[Mg ]) = 4[Mg ] = 1.0 x 10 . 2+ 2+ –11 Solving for Mg one obtains [Mg ] = [1.0 x 10 1/3 / 4] . The correct answer is C. 16. The equation for the reaction is 2 C8H18 + 25 O2 → 16 CO2 + 18 H2O. Choice B is correct; 0.5 mol octane produces 4 mol of CO2, which, at 20°C, occupies 5. Entropy is a measure of disorder. In all three cases, the disorder of the system increases. The correct answer is D. 6. A quick calculation using the isotope number, (0.1 x 40.9) + (0.3 x 43.9) + (0.6 x 45.9) = 44.8, gives the correct answer, C. 7. Element X decayed from 400 g to 25 g, in a time period of 4 half-lives. Element Y decayed from 400 g to 200 g, in a time period of 1 half-life. Y decays slower than X, and the half-life of Y is 4 times that of X. The correct answer is B. 8. The correct answer is C. The definition of an equilibrium is that the forward and backward reactions occur at equal rates. 9. The correct answer is A. I and II are the same compound, 2-methyl-1-propene. III and IV are cis and trans isomers. They are geometric isomers with different properties. + 10. The correct answer is B. Copper (I) is Cu and sulfate is 2– SO4 ; therefore, for charge neutrality the compound is Cu2SO4. 11. Choice B is the correct answer. HCl dissociates completely, + –4 [H ] = 4.0 x 10 M and the pH is between 3 and 4. ( 4 mol ¥ 22.4 L / mol) 293 K = 96 L @ 100 L 273 K 17. Inertia is a property of a substance, proportional to its mass, and therefore depends on the amount of the sample. The correct answer is D. 18. The correct answer is A. 36 grams of water is 2 moles (2 x 18 grams). A 2-mole sample of O2 contains the same number of molecules as does 2 moles of any other substance. A 2-mole sample of O2 would have a mass of 2 x 32.0 grams = 64.0 grams. 19. The correct answer is C. The precipitate formed is Ag3PO4. Atoms and net charge must be conserved in a chemical reaction, so the reactants and products must have equal numbers of each type of atom and the same net charge. 20. The correct answer is A. The valences of Al and Ga are both +3. 87798-60633 • PDF511 11 Copyright © 2011 by Educational Testing Service. All rights reserved. ETS, the ETS logo, LISTENING. LEARNING. LEADING., PRAXIS I, PRAXIS II, and PRAXIS III are registered trademarks of Educational Testing Service (ETS) in the United States and other countries. PRAXIS and THE PRAXIS SERIES are trademarks of ETS. 8601
  • 12. X