During the first week of June, I participated in the AP Chemistry Reading in Tampa, Florida. I have been involved with the AP Reading since 2011, having served in various roles as a Reader, a Table Leader, and a Question Leader. I have been grateful for the opportunity to connect and share with other educators, and the AP Reading continues to be a valuable source of professional development for me. I especially enjoy taking a deep dive into the pool of student misconceptions, because this helps me to improve my skills at explaining chemistry concepts as I prepare students for the AP Exam. If you would like to learn more about the process of becoming an AP Reader, I encourage you to check out this information on the AP Central website.
I have written articles for ChemEd X about the AP Exam in 20221 and in 2023.2 In these previous articles, I presented a summary of mistakes or misconceptions that had been observed in student responses, and I offered suggestions for teachers for improving student performance. This article is my latest installment in the series, and it is based on the 2024 AP Chemistry Exam.
On July 27th, I traveled to Lexington, Kentucky to attend the Biennial Conference on Chemical Education (BCCE). During the George R. Hague Memorial AP/IB Chemistry Symposium, a session entitled “Summary of Student Successes and Challenges on the 2024 AP Chemistry Exam” was presented by Kyle Beran (Angelo State University, Chief Reader for AP Chemistry) and Jamie Benigna (College Board, Director of AP Chemistry). Their presentation included the following information.
- An overview of the seven free response questions from the operational form (Form O) of the AP Chemistry Exam, along with the scoring guidelines for each question
- Examples of mistakes or misconceptions observed in student responses
- Advice for how to improve performance on the AP Exam
The presentation from BCCE will also be shared in the form of a webinar, in partnership with the American Association of Chemistry Teachers (AACT). When the details of that webinar are announced on the AACT website, I will add a comment below and share a link so that teachers can register to attend.
I will also add a comment below when the official scoring guidelines and the Chief Reader Report for the 2024 AP Chemistry Exam are available. In the meantime, teachers can check out this section of the AP Central website which lists free response questions, scoring guidelines, Chief Reader Reports, and sample student responses (with commentary) from previous years. The seven free response questions from the operational form of the 2024 AP Chemistry Exam can be found here. My preliminary draft version of the scoring guidelines can be found here.
Question #1
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Part
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Mistakes or Misconceptions
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(a)
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- Circled a hydrogen atom that is not attached to the carboxylic acid group (–CO2H)
- Circled a chemical bond or an atom of carbon or oxygen.
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(b)
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- Made errors when converting the volume of 500. milliliters into units of liters.
- Made algebraic errors (e.g., multiplying instead of dividing).
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(c)
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- Reported a pKa value of approximately 8, which suggests the following mistakes.
- confusion about the location of the half-equivalence point (pH = 3.9) and the location of the equivalence point (pH ≈ 8) on the titration curve
- reporting the volume of the titrant (8 mL) at the half-equivalence point instead of the pH of the solution (3.9) at the half-equivalence point
- Even though the value of pKa was requested in the question, students used the estimated value of pKa to calculate the Ka value of lactic acid.
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(d)(i)
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- Made an incorrect conclusion about the particle diagram, in which two C3H5O3– particles and four C3H6O3 particles are shown. Since [C3H5O3–] = ½ [C3H6O3], students assumed incorrectly that the solution in the flask represents the half-equivalence point of the titration experiment.
- Wrote answers that showed confusion between the half-equivalence point and the equivalence point of a titration.
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(d)(ii)
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- Used the general term “base” instead of the more specific term “conjugate base”.
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(d)(iii)
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- Drew a titration curve for experiment 2 that contained one of the following features.
- The curve did not begin at an initial pH of 2.
- The curve was identical to the titration curve for experiment 1.
- The pH at the halfway point of the curve (i.e., where pH should be equal to pKa) was much higher than pH = 4.
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(e)(i)
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- Calculated the combined mass of the solutes C3H6O3 and NaOH (i.e., 4.5 g + 2.0 g = 6.5 g) instead of using the total volume of the solution (200.0 mL) and the density (1.00 g/mL) to calculate the mass of the combined solutions (200. g).
- Used the final temperature of the solution (23.2°C) as the value of ΔT instead of calculating the change in temperature (23.2°C – 20.0°C = 3.2°C).
- Made algebraic errors.
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(e)(ii)
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- Did not include the negative sign with the calculated value of ΔHrxn. This reaction is classified as exothermic.
- Did not divide the amount of heat (2.7 kJ) by the quantity “mole of reaction” (0.0500 mol).
- Added the number of moles of each reactant (0.0500 mol) together, to give an incorrect value for the quantity “mole of reaction” (0.100 mol).
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(e)(iii) |
- Stated that the value of the molar enthalpy of reaction would be larger, not smaller.
- Did not include a specific reference to the temperature, which is a measurement recorded during this calorimetry experiment.
- Re-stated the prompt, stating only that the calculated value of heat or the value of the molar enthalpy of reaction would be smaller.
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Question #2
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Part
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Mistakes or Misconceptions
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(a)(i)
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- Used an incorrect value for the molar mass of CO2.
- Used a conversion factor of (44 g CO2 / 2 mol CO2)
- Made algebraic errors (e.g., dividing instead of multiplying).
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(a)(ii)
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- Used a value for the ideal gas constant (R) with inconsistent units (e.g., 8.314 J mol–1 K–1 instead of 0.08206 L atm mol–1 K–1).
- Didn’t convert the temperature from units of degrees Celsius into units of Kelvins.
- Assumed incorrectly that the gas sample was under STP conditions (i.e., 22.4 L mol–1).
- Used the number “2,” the coefficient of CO2 from the balanced equation, as the number of moles of CO2 instead of the value that was given in the question (0.0114 mol CO2).
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(b)(i)
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- Wrote an answer that showed confusion between the surface area of a single particle and the surface area of the entire solid sample. Example: “The surface area of the powder is less than the surface area of the chunks because the particles of the powder are smaller and take up less space.”
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(b)(ii) |
- Did not discuss the collisions between the particles.
- Showed confusion between time and rate (e.g., “the time would be greater because of the increased frequency of collisions between particles.”)
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(b)(iii) |
- Stated that the volume of CO2 produced in the second experiment would be greater, based on an incorrect justification such as more collisions or greater surface area.
- Provided an incorrect justification for the claim that the volume of CO2 would be the same in both experiments, such as the following.
- The temperature and/or the pressure remains the same.
- The experiment obeys the law of conservation of matter (or mass).
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(c) |
- Chose H2C4H2O4 as the limiting reactant, based on the fact that 0.0133 mol H2C4H2O4 is less than 0.0149 mol NaHCO3, which ignores the stoichiometric ratio of the reactants.
- Chose NaHCO3 as the limiting reactant, but gave an incorrect justification such as the following.
- 1.251 g NaHCO3 is less than 1.543 g H2C4H2O4.
- The molar mass of NaHCO3 is less than the molar mass of H2C4H2O4.
- There are 2 moles of NaHCO3 for every 1 mole of H2C4H2O4.
- The mass of NaHCO3 changes as you go from Trial 3 to Trial 4.
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(d)
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- Gave an explanation for the increase in entropy that did not include particle-level reasoning. Examples include the following.
- The total number of moles of the products is greater than that of the reactants.
- There are more moles of gas in the products than in the reactants.
- The phase of matter changes from aqueous (aq) to gaseous (g).
- Gases are more random (or chaotic or disordered).
- The reaction involves the formation of gaseous, liquid, and aqueous substances (i.e., there is no specific attribution to the formation of gaseous particles as the reason for the increase in entropy)
- Did not use particulate-level phrases to describe the properties of the gas particles, such as “more microstates,” “more dispersed,” “greater number of arrangements,” “greater distribution of energy,” etc.
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(e)
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- Agreed with the claim by stating that an endothermic reaction has a negative ΔH value.
- Stated that endothermic reactions are not thermodynamically favorable.
- Disagreed with the claim, but didn’t provide any justification.
- Disagreed with the claim, but only referred to the positive ΔH value or only referred to the positive ΔS value in the justification.
- Stated that an endothermic reaction (i.e., a reaction with a positive ΔH value) that also has a positive ΔS value will only be thermodynamically favorable at certain temperatures. The phrase “at high temperatures” is more specific than “at certain temperatures.”
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(f) |
- Stated that pKa2 = 6.07, but did not show the setup for this calculation.
- Calculated the value of pKa1 (1.82) instead of calculating the value of pKa2 (6.07).
- Multiplied the values of Ka1 and Ka2 together to give a value of 1.3 × 10–8. Then took the negative log of that K value (7.89).
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(g) |
- Stated that the ratio of [C4H2O42–] to [HC4H2O4–] is 1-to-1 because the pH of the solution is 7.00, or because the molar masses of these two substances are similar.
- Made a calculation error with the Henderson-Hasselbalch equation, obtaining a value of –0.93 instead of +0.93 (i.e., 10–0.93 = 0.12, whereas 100.93 = 8.5).
- Used the base e from the natural log (ln) function to perform the calculation instead of using base 10 (i.e., e0.93 = 2.5, whereas 100.93 = 8.5).
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Question #3
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Part
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Mistakes or Misconceptions
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(a)
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- Assigned an oxidation number of +1 (instead of zero) to Ag in the element Ag(s).
- Assigned an oxidation number of +2 (instead of +1) to Ag in the compound Ag2S(s).
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(b)(i)
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- Provided an incorrect explanation of the fact that sterling silver is better classified as a substitutional alloy, such as the following.
- Ag has a larger atomic radius than Cu.
- Ag has a larger atomic mass than Cu.
- Sterling silver is made up of more than one type of metal.
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(b)(ii)
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- Provided an incorrect or insufficient explanation of the fact that Ag has a larger atomic radius than Cu, such as the following.
- Ag is located below Cu on the periodic table.
- Ag has more electrons/orbitals/subshells/etc. than Cu
- Compared to Cu, the valence electrons of Ag experience a weaker attraction to the nucleus.
- Did not show understanding of the fact that the difference in the atomic radius of two elements located in the same group is primarily a function of the principal quantum number (n) of the occupied electron shells or the valence shells.
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(c)
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- Calculated the number of moles of Ag2S (0.04144 mol) instead of calculating the number of moles of Ag (0.08289 mol).
- Used the value 92.5% silver, given at the beginning of the question, to calculate the number of moles of Ag present in 10.27 g Ag2S(s). The value 92.5% is the percentage of Ag by mass in the alloy. It is not the percentage of Ag by mass in the compound Ag2S (87.06%).
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(d)(i)
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- Tried to combine two reduction half-reactions instead of combining a reduction half-reaction and an oxidation half-reaction.
- Wrote a chemical equation that was not balanced.
- Ignored the information given in the description of the electroplating experiment, which stated that Rh(s) and O2(g) are formed as products.
|
(d)(ii) |
- Multiplied the half-cell potentials by the balancing coefficients. (+0.80 V × 4) + (–1.23 × 3) = –0.49 V
- Added the two reduction half-cell potentials together (0.80 V + 1.23 V = 2.03 V).
|
(d)(iii) |
- Showed confusion about the relationship between the sign of the cell potential E° and the thermodynamic favorability of a reaction.
- Stated that a galvanic cell requires an external power source.
- Stated that E° is negative and/or stated that ΔG° is positive, without mentioning that the reaction is thermodynamically unfavorable.
- Justified the need for an external power source in terms of things such as breaking chemical bonds or overcoming the activation energy for the reaction.
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(e) |
- Used an incorrect conversion factor involving the relationship between moles of electrons and moles of Rh(s), such as the following. ( 12 mol e– / 1 mol Rh ) or ( 1 mol Rh / 3 mol e– ).
- Reported a final answer with an incorrect number of significant figures. The correct answer should be expressed with two sig figs (3900 s or 4.0 × 103 s).
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Question #4
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Part
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Mistakes or Misconceptions
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(a)
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- Reported the temperature with no decimal places (38°C).
- Reported the temperature with two decimal places (38.50°C).
- Misread the lines in the diagram (30.85°C, 35.35°C, or 40.15°C).
- Used incorrect units, such as grams or milliliters.
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(b)
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- Drew arrows with the same lengths as or with shorter lengths than the arrows shown in the “Before” diagram.
- Drew arrows in the form of curved lines instead of straight lines.
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(c)
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- Used the mass of the water (52.0 g) instead of using the mass of the metal (98.1 g).
- Combined the masses of the metal and the water to get a value of 150.1 g.
- Used an incorrect value of ΔT such as the following.
- the initial temperature of the metal (100°C)
- the final temperature of the mixture (38.5°C)
- the change in temperature for the water (38.5°C – 25.0°C = 13.5°C)
- the difference between the two initial temperatures (100.0°C – 25.0°C = 75.0°C)
- Reported the value for the specific heat as a negative number.
- Made algebraic errors.
|
(d) |
- Stated that the magnitude of ΔT of aluminum would be larger than the magnitude of ΔT of the metal used in the first experiment.
- Showed confusion about the inverse relationship between the specific heat and the change in temperature (when the mass and the amount of heat are constant).
- Used the inequality symbol ( < or > ) incorrectly.
- Showed confusion between the magnitude of ΔT and the rate of change of temperature (e.g., stated that one metal heats up more quickly than the other).
- Showed confusion between the terms heat and temperature (e.g., stated that Al absorbed less heat than the metal used in the first experiment).
- Referred to the temperature, but not the change in temperature.
- Used the vague word “ it ” when comparing the different metals, resulting in a response that was unclear regarding which metal the student was referring to.
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Question #5
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Part
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Mistakes or Misconceptions
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(a)
|
- Used parentheses ( ) in the Kc expression instead of hard brackets [ ].
- Wrote the Kp expression instead of the Kc expression.
- Wrote the reciprocal of the Kc expression.
- Used the number “2” as a multiplier for the term [HI] instead of an exponent.
- Used a plus “ + “ sign in between the terms [H2] and [I2]
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(b)(i)
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- Drew a number of molecules of HI that was inconsistent with the expression written in part (a).
- Drew four molecules of HI, possibly based on the assumption that the forward reaction proceeds all the way to completion.
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(b)(ii)
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- Stated that increasing the temperature would make the reaction more thermodynamically favorable.
- Stated that increasing the temperature would increase Kc and produce more HI.
- Hypothesized that a catalyst was added to the system.
- Hypothesized that the pressure was increased. This statement is too vague. It is possible to increase the total pressure of the system by adding an inert gas, which would not cause the number of moles of HI(g) in the system to increase.
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(b)(iii) |
- Stated that the number of moles of HI(g) would increase because the decrease in pressure would result in a shift toward the side of the equation with more moles of gas, which is the right side.
- Stated that the number of moles of HI(g) would increase based on the incorrect assumption that the concentration of HI must remain constant. In other words, if the total volume increases, then the number of moles of HI must also increase in order to keep [HI] constant.
- Stated that the number of moles of HI(g) would remain the same, but provided an incorrect justification, such as the following.
- The temperature remains constant.
- Nothing was added to the system or removed from the system.
- A larger container would not affect the number of moles of HI(g).
- The value of Kc remains the same.
- The reaction had already reached a state of equilibrium.
- Wrote a justification that did not show understanding of the stoichiometric ratio between the reactants and products (e.g., There are two reactants for two products.)
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Question #6
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Part
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Mistakes or Misconceptions
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(a)
|
- Provided an incorrect or insufficient justification for the claim that the reaction is second order with respect to NO2, such as the following.
- The graph on the right is linear.
- The second order graph is linear.
- 1/[NO2] is constant.
- 1/[NO2] has a constant half-life.
- The relationship between 1/[NO2] and time is proportional. (Note: “proportional” is not a synonym for “linear.”)
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(b)
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- Provided the correct numerical answer with the correct units, but did not show any setup for the calculation.
- Ignored the stoichiometry, assuming that the rate of appearance of O2 is equal to the rate of disappearance of NO2.
- Multiplied by 2 instead of dividing by 2.
- Attempted to use information found in a second order rate law (i.e., an exponent of 2) by performing a calculation involving taking the square root of the given quantity or raising the given quantity to the 2nd power.
- Used incorrect units in the answer.
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(c)(i)
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- Drew a Lewis diagram for NO2+
- in which at least one atom does not have a complete octet
- in which at least one atom has more than an octet
- that has a total of 18 electrons instead of 16 electrons
- that represents a valid resonance structure of the NO2 molecule
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(c)(ii)
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- Assumed incorrectly that the single electron on the central atom in NO2 has no effect on the bond angle of the molecule.
- Provided an incorrect or insufficient justification for the claim that the bond angles are different in NO2 and NO2+, such as the following.
- NO2 is bent because it’s polar; NO2+ is linear because it’s nonpolar.
- NO2 is a neutral molecule, whereas NO2+ is an ion.
- The NO2 molecule contains 1 single bond and 1 double bond, whereas the NO2+ ion contains 2 double bonds.
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Question #7
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Part
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Mistakes or Misconceptions
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(a)
|
- Did not show sufficient work in the setup for the calculation to earn the point (e.g., omitted the molar mass of NaCl from the work shown).
- Did not use the volume of the solution (100.0 mL) when performing the calculation, Instead, multiplied the molarity of the solution (0.340 M) by the molar mass of NaCl.
- Didn’t include units in the answer.
- Made algebraic errors.
|
(b)
|
- Made errors in writing Step 2, such as the following.
- Added more than 100 mL of water.
- Didn’t mention the type of glassware used.
- Added NaCl to a volumetric flask (or a beaker) and then added 100 mL of water.
- Added NaCl to a graduated cylinder with 50 mL of water (without further steps added).
- Omitted important details such as NaCl or water.
- Made errors in writing Step 4, such as the following.
- Added water and filled to 100.0 mL.
- Added water to a container that is not a volumetric flask.
- Transferred the solution (from a beaker or a graduated cylinder) to a volumetric flask and filled to the mark with water without rinsing the glassware that had previously contained the solution.
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(c)
|
- Didn’t compare the distance between X and Y.
- Stated that the distance between X and Y would remain the same or become larger.
- Only stated that the solvent front will not travel as far up the paper.
- Implied that a chemical reaction occurs between X and Y.
|
Based on these mistakes and misconceptions, the following is a list of suggestions for improving performance on the AP Chemistry exam.
- Watch the AP Daily videos that are available on AP Classroom. These videos include essential information on each topic from all nine Units in the AP Chemistry Course and Exam Description. They also include practice questions with helpful tips for how to answer them.
- Watch the review videos that are found in the “Review” section of AP Classroom. These videos are led by expert AP Chemistry educators and provide valuable test-taking strategies.
- Review the free response questions, scoring guidelines, Chief Reader Reports, and sample student responses from previous years. You can find an archive of previously released free response questions here.
- AP Chemistry teachers can utilize a helpful resource created by Nora Walsh entitled “Write This, Not That,” which offers guidance to students as they answer free response questions. The links to Nora’s documents are shown below.
- Read each part of each question carefully, and make sure to answer the question completely.
- Be familiar with Topic 8.6 (Molecular Structure of Acids and Bases), including how to recognize the carboxylic acid functional group (–CO2H) in a Lewis diagram.
- Develop consistent habits when solving problems involving algebraic manipulations and conversion factors. A good technique for setting up calculations includes showing the details of how the units are cancelled out.
- When performing calculations, always show your work, and include the correct units in your final answer.
- Be familiar with important details regarding an acid-base titration, including the following.
- Performing calculations involving volume, molarity, moles, molar mass, stoichiometry, etc.
- Identifying the location of the half-equivalence point and the equivalence point on a titration curve
- Estimating the pKa of a weak acid from the titration curve
- Drawing a new titration curve for a new experimental trial in which a variable has been changed
- Matching various points on the titration curve to particle diagrams that illustrate the species present in the reaction mixture at a certain point in the titration
- I have created resources for using particle diagrams with acid-base titrations; the links are shown below.
- Practice drawing and interpreting particle diagrams for a variety of topics, including phases of matter, kinetic molecular theory, chemical reactions, solutions, thermochemistry, equilibrium, entropy, electrochemistry, etc.
- I wrote an article for ChemEd X that offers suggestions for creating formative assessment items with interactive particle diagrams3.
- Practice making predictions about how the results of a laboratory experiment would be affected when certain variables are changed. When possible, verify your predictions in the laboratory by performing multiple trials of an experiment with specific changes to independent variables.
- Review the concept of “mole of reaction,” especially as it relates to thermochemical calculations involving q and ΔH.
- Practice answering questions in which precise scientific language in student responses is important. In the Question Bank on AP Classroom, teachers can search for free response questions aligned to Science Practice 4 (Model Analysis) and Science Practice 6 (Argumentation).
- Practice solving stoichiometry problems involving the determination of the limiting reactant, as well as the calculation of the theoretical yield and the percent yield.
- Utilize the AP Chemistry Equations and Constants sheet consistently throughout the school year, so that students will be able to do the following.
- choose the correct equation needed to solve the problem
- choose the correct value for a constant, such as the ideal gas constant R
- convert a measurement from the given units into the appropriate units
- If a question contains the phrase, “Justify your answer based on _____,” this should be interpreted as a warning and a guide. If specific information (e.g., experimental data, collisions between particles, principles of atomic structure, etc.) is requested in the justification, it should be included in the student’s response in order for them to receive full credit.
- Review the rules for assigning oxidation numbers to each atom in an element, an ion, or a compound.
- If a table is given that lists two reduction half-reactions and the question asks for the balanced net ionic equation for the overall chemical reaction that occurs, remember the following information.
- It is not possible to combine two reduction half-reactions or two oxidation half-reactions. A reduction half-reaction is combined with an oxidation half-reaction. Only one of the two reduction half-reactions should be reversed during the process.
- When reversing a half-reaction, the sign of the cell potential (voltage) is reversed.
- When multiplying the balancing coefficients of a half-reaction by a constant N, the value of the cell potential (voltage) is not affected.
- The equation ΔG° = –nFE° should serve as a reminder of the following information.
- The reaction that occurs in a galvanic cell is thermodynamically favored; ΔG° < 0 and E° > 0
- The reaction that occurs in an electrolytic cell is not thermodynamically favored; ΔG° > 0 and E° < 0
- Pay attention to the details of a diagram that shows a close-up view of a buret, a graduated cylinder, or a thermometer, so that the measurement is recorded correctly according to the precision of the instrument.
- Practice solving a variety of calorimetry problems where the unknown quantity is either heat (q), mass (m), specific heat capacity (c), or change in temperature (ΔT).
- Understand the difference between terms such as enthalpy change, magnitude of heat, temperature, and specific heat capacity.
- Know how to write an equilibrium constant expression, and especially how to differentiate between the Kc expression and the Kp expression.
- Practice solving a variety of problems related to Le Chatelier’s Principle. Whenever possible, compare the magnitude of the reaction quotient (Q) with the magnitude of the equilibrium constant (K). See Topic 7.10 in the AP Chemistry Course and Exam Description.
- Review the fundamental concepts associated with drawing Lewis diagrams, including the octet rule.
- Review the proper procedure for how to prepare an aqueous solution using a solid solute, distilled water, and a volumetric flask, as represented in the following free response questions: 2024 #7 part (b) and 2022 #3 part (c).
I hope this article has been helpful to AP Chemistry teachers as they begin a new school year. Please log in to ChemEd X and add your comments and questions to join the conversation below. I look forward to connecting with you.
Nora Walsh’s “Write This, Not That” Resources
List of Guidelines (pdf)
PowerPoint Presentation format
Michael Farabaugh’s Activity for using Particle Diagrams in Acid-Base Titrations (See video solutions and explanations in Video 1.)
Particle Diagram Matching Activity
Particle Diagram Writing Activity
Video 1: Particle Diagrams for Acid-Base Titrations, Michael Farabaugh's YouTube Channel, March 2018.
- Farabaugh, M., Using Information from the 2022 AP Chemistry Reading to Improve Exam Performance, August 2022, Chemical Education Xchange.
- Farabaugh, M., Using Information from the 2023 AP Chemistry Reading to Improve Exam Performance, August 2023, Chemical Education Xchange.
-
Farabaugh, M., Creating Interactive Particle Diagram Activities for Online Instruction, August 2020, Chemical Education Xchange.
All comments must abide by the ChemEd X Comment Policy, are subject to review, and may be edited. Please allow one business day for your comment to be posted, if it is accepted.
Comments 3
Register for the AACT Webinar on September 25th
Here is the link to the AACT website which will allow you to register for the AACT Webinar.
Join the AP Chemistry Instructional Director, Jamie Benigna, for a detailed analysis of free-response questions from last year’s exam, explaining the rationale behind the questions and the policies for scoring them accurately and fairly. Jamie will share common misconceptions and errors from these responses and make suggestions on how they can lead to improvements in teaching and learning AP Chemistry.
2024 Released Free Response Questions - Scoring Guidelines
You can find released Free Response Questions, Scoring Guidelines, Sample Responses, and the Chief Reader Report on this page:
AP Chemistry Exam Questions – AP Central | College Board
Here is the link to the 2024 Scoring Guidelines.
I would assume that Sample Responses and the Chief Reader Report for the 2024 FRQs should appear on the College Board website relatively soon.
Sample Student Responses to each FRQ are now available
https://apcentral.collegeboard.org/courses/ap-chemistry/exam/past-exam-questions