2021 chem frq

In part (g) the points were earned because the response correctly states that the number of moles of CH3OH decreases, provides a correct calculation of Q, and has a correct comparison of Q and Kp. 2022 College Board. Visit College Board on the web: collegeboard.org. AP® Chemistry 2022 Scoring Commentary.

2021 chem frq. May 16, 2017 · The free-response section of the AP Chemistry test can be daunting. It consists of seven questions–three long and four short–that you will have 105 minutes to answer. It is suggested that you spend 7 minutes on each short questions and 25 minutes on each long question. You will be able to use a calculator and the formula sheets provided to ...

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In part (g) the points were earned because the response correctly states that the number of moles of CH3OH decreases, provides a correct calculation of Q, and has a correct comparison of Q and Kp. 2022 College Board. Visit College Board on the web: collegeboard.org. AP® Chemistry 2022 Scoring Commentary.Study guides & practice questions for 9 key topics in AP Chem Unit 4 – Chemical Reactions Sign up. or. Log in. Find what you need to study ... We'll cover MCQ and FRQ logistics, scoring guidelines, effective strategies, and examples. AP Chemistry Multiple Choice Questions (MCQs) 4 min read • written by Kanya Shah. AP Chemistry Free Response …May 20, 2019 · AP Chemistry 2000 Scoring Guidelines. The materials included in these files are intended for non-commercial use by AP teachers for course and exam preparation; permission for any other use must be sought from the Advanced Placement Program. Teachers may reproduce them, in whole or in part, in limited quantities, for face-to-face …In this AP Daily: Live Review session for AP Chemistry, we will discuss relationships between acid-base parameters such as acid-dissociation constant (Ka), b...CHEMISTRY. YOU MAY USE YOUR CALCULATOR FOR THIS SECTION. Directions: Questions 1–3 are long free-response questions that require about 23 minutes each to answer and are worth 10 points each. Questions 4–7 are short free-response questions that require about 9 minutes each to answer and are worth 4 points each.Directions: Questions 1–3 are long free-response questions that require about 23 minutes each to answer and are worth 10 points each. Questions 4–7 are short free-response questions that require about 9 minutes each to answer and are worth 4 points each. Write your response in the space provided following each question.I usually can't find the answers to the progress check frqs, I just try my best, and if I get a good score, then I share my work for any fellow chem pals. But, if you dig deep enough on the web, the frq answers might be released. This was the case for the earlier progress check frqs prior to Unit 9. Hope this helps :)

Write your responses to this question only on the designated pages in the separate Free Response. booklet. Write your solution to each part in the space provided for that part. A particle, P, is moving along the x-axis. The velocity of particle P at time t is given by v t P () = sin t1.5. for 0 £ t £ p .Questions 1–3 are long free-response questions that require about 23 minutes each to answer and are worth 10 points each. Questions 4–7 are short free-response questions that require about 9 minutes each to answer and are worth 4 points each. For each question, show your work for each part in the space provided after that part.CHEMISTRY . Section II . Time—1 hour and 45 minutes . 7 Questions . YOU MAY USE YOUR CALCULATOR FOR THIS SECTION. Directions: Questions 1–3 are long free-response questions that require about 23 minutes each to answer and are worth 10 points each. Questions 4–7 are short free-response questions that require about 9 minutes each to answer24.7. 23.9. The following comments on the 2021 free-response questions for AP®Chemistry were written by the Chief Reader, Paul Bonvallet, The College of Wooster. They give an overview of each free-response question and of how students performed on the question, including typical student errors. General comments regarding the skills and content ...Polyhydroxyalkanoates (PHAs) are a unique class of polyesters especially due to their chemical diversity imparted by their side-chain substituent that provides a handle to tune their properties, such as their thermal, mechanical and (bio)degradability signature. Here, we report that some functional PHAs, nam4. Swirl to dissolve the solid. For the correct step to ensure quantitative dilution: 5. After the solid is dissolved, fill the flask to the calibration ( 200.00 mL ) mark and mix. Total for part (c) (d) For a drawing that shows product formation and indicates the conservation of …

11 Jan 2023 ... This video shows how to solve question 3 from the 2021 AP Chemistry ® FRQ test. This question focused on spectrophotometry.Share your videos with friends, family, and the world24.7. 23.9. The following comments on the 2021 free-response questions for AP®Chemistry were written by the Chief Reader, Paul Bonvallet, The College of Wooster. They give an overview of each free-response question and of how students performed on the question, including typical student errors. General comments regarding the skills and content ...Visit College Board on the web: collegeboard.org. AP Central is the oficial online home for the AP Program: apcentral.collegeboard.org. AP® Chemistry 2021 Scoring Guidelines. Question 3: Long Answer. 10 points. For the correct balanced equation (state symbols not required): Ba 2.Each of three beakers contains 25.0 mL of a 0.100 M solution of HCl, NH3, or NH4Cl, as shown above. Each solution is at 25°C. Determine the pH of the solution in beaker 1. Justify your answer. In beaker 2, the reaction NH3(aq) + H2O(l) ̈ Æ NH4 +(aq) + OH−(aq) occurs. The value of Kb for NH3(aq) is 1.8 × 10−5 at 25°C.Good morning, Quartz readers! What to watch for today A huge blizzard looms. Airlines have canceled more than 800 flights after the US National Weather Service said two to three fe...

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Suggested time—40 minutes. (This question counts as one-third of the total essay section score.) Many people spend long hours trying to achieve perfection in their personal or professional lives. Similarly, people often demand perfection from others, creating expectations that may be challenging to live up to.AP FRQ WORKED ANSWER ARCHIVE. Here you’ll find links to worked answers to FRQs from previous AP Chemistry exams. Every released FRQ from 1990 to 2023 has a worked answer. 2020 was a COVID interrupted year, and no formal exam questions were released into the public domain by the College Board, although AP teachers do have access to questions ...Here are all the actual AP Chemistry free response questions from the 2014 through 2018 exams. Also includes scoring guidelines and sample responses. Course Description Questions. For more sample free response questions based on the revised exam check out page 136 of the AP Chem course description. These were published by the College …Angew Chem Int Ed, 2013, 52: 12545–12549. Article CAS Google Scholar Han GF, Li F, Chen ZW, Coppex C, Kim SJ, Noh HJ, Fu Z, Lu Y, Singh CV, Siahrostami S, Jiang Q, Baek JB. Nat Nanotechnol, 2021, 16: 325–330. Article CAS Google Scholar Download referencesFree-Response Questions 2014-2021 . These free response questions are from the most up-to-date version of the test. I would advise you to save most of them for later on in the year when you're more serious about practicing for the real AP exam. There are seven questions from each year. Practice Tests from Your Teacher . Since there aren't any full …Overview. Question 7 involves a sample of O2 inside a container with a movable piston. In part (a), the student must calculate the density of the gas based upon its mass and volume (SPQ-1.A, 5.F). Part (b) asks whether releasing some of the gas from the container will change the density of the gas, and to justify the answer (SAP-7.A, 2.B).

AP Chemistry FRQ 2018 Draft Answers and Projected Points Kaleb Underwood 1. (a) The oxidation number of Cl is +1 1 point for the correct oxidation number (b) 0.500 𝑎2 2 3×0.10000 =0.0500 𝑎2 2 3 0.0500 𝑎2 2 3× 158.1 1 =7.91 𝑎2 2 3Feb 7, 2022 · y = cx 4 x 2 , for some c. Each spinning toy is in the shape of the solid generated when such a region is. −. revolved about the x-axis. Both x and y are measured in inches. (a) Find the area of the region in the first quadrant bounded by the x-axis and the graph of y = cx 4 x2 − for c = 6. dy c 2x (4.Download free-response questions from this year's exam and past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at ssd@info ...High temperature is required for the reactant particles to have sufficient thermal energy to overcome the activation energy of the reaction. 1 point. (g) For the correct peak height and location: The peak should be drawn to the right of the other peaks, and it should reach the second line above the horizontal axis.Questions 1–3 are long free-response questions that require about 23 minutes each to answer and are worth 10 points each. Questions 4–7 are short free-response questions that require about 9 minutes each to answer and are worth 4 points each. For each question, show your work for each part in the space provided after that part.Directions: Questions 1 and 2 are long free-response questions that require about 25 minutes each to answer. Questions 3 through 6 are short free-response questions that require about 10 minutes each to answer. Read each question carefully and completely. Answers must be written out in paragraph form.The response does identify that the measured volume is for real gases and the calculated volume is for ideal gases, but the response does not explain why the measured volume is smaller than the calculated volume. Sample: 7C Score: 1. In part (a), the point was not earned because the response shows 0.325 mole O. 2.Chemistry 2021 Free-Response Questions . Begin your response to . QUESTION 1 . on this page. CHEMISTRY . SECTION II . Time—1 hour and 45 minutes 7 Questions . YOU MAY USE YOUR CALCULATOR FOR THIS SECTION. Directions: Questions 1–3 are long free-response questions that require about 23 minutes each to answer and are worth 10 points each.Ap21frqchemistry 2021 AP ® Chemistry FreeResponse Questions, Ayton gives his walkthrough for frq number 2 on the 2024 ap chemistry exam. The 2024 ap exams will be administered in schools over two. The 2024 ap exams will be administered in schools over two.Jan 11, 2023 · This video shows how to solve question 3 from the 2021 AP Chemistry ® FRQ test. This question focused on spectrophotometry. This project was created with Exp...

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Jan 28, 2021 · ap化学大量真题答案chemistry_frq_021.pdf 安全系列ccsp实验汇总30个ccsp实验-pix downloadable acl pix downloadable acl.pdf 技术报告_netapp集群模式data ontap 8 2简介.pdf 四年级数学(四则混合运算)计算题与答案汇编.docx 五年级数学(小数乘除法)计算题1964. 1963. 1962. 1961. 1960. 2020 FRQs and ANSWERS. In 2020 the AP chemistry exam was COVID affected, and the exam was offered in an online format only, with approx. 30, different FRQs being used in various combinations in the exams. The questions that a particular teacher’s students were given were released to that individual teacher, but ...May 16, 2017 · The free-response section of the AP Chemistry test can be daunting. It consists of seven questions–three long and four short–that you will have 105 minutes to answer. It is suggested that you spend 7 minutes on each short questions and 25 minutes on each long question. You will be able to use a calculator and the formula sheets provided to ...May 16, 2017 · The free-response section of the AP Chemistry test can be daunting. It consists of seven questions–three long and four short–that you will have 105 minutes to answer. It is suggested that you spend 7 minutes on each short questions and 25 minutes on each long question. You will be able to use a calculator and the formula sheets provided to ...Mr. Ayton from www.mrayton.com goes through the AP Chemistry 2021 Exam Free Response Question #3 (FRQ #3)5 May 2021 ... AP Chemistry Final Review 2021. 8.8K views · 3 years ago ...more. A ... AP Chemistry 2021 FRQ #1 Complete Solution from May 7th. Jeremy Krug ...AP Chemistry 2021 FRQs - Answers. Chemistry Resource. #1. a) Ka = [H3O+] [HCOO-]/ [HCOOH] b) Ka = x 2/ [HA]; x = sqrt (Ka * [HA]) = 6.7e-3 M; pH = -log (6.7E-3) = 2.17. c) Lewis structure is a carboxylic acid; double bond on top O atom, all other bonds single bonds, two lone pairs should be on both O atoms. d) i) H2NNH2 + HCOOH --> H2NNH3+ + HCOO-.in the presence of hydronium ions. A proposed mechanism for the reaction consists of the three elementary steps shown below. Step 1: CH3OH + CO → HCO2CH3 Step 2: HCO2CH3 + NH3 → HCONH2 + CH3OH Step 3: HCONH2 + H3O+ → HCOOH + NH4 +. slow fast. fast. Overall reaction: CO + NH3 + H3O+.

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Get ratings and reviews for the top 6 home warranty companies in Vernon, IL. Helping you find the best home warranty companies for the job. Expert Advice On Improving Your Home All...4. Swirl to dissolve the solid. For the correct step to ensure quantitative dilution: 5. After the solid is dissolved, fill the flask to the calibration ( 200.00 mL ) mark and mix. Total for part (c) (d) For a drawing that shows product formation and indicates the conservation of matter: 1 point.AP Chemistry 2021 FRQs - Answers. Chemistry Resource. #1. a) Ka = [H3O+] [HCOO-]/ [HCOOH] b) Ka = x 2/ [HA]; x = sqrt (Ka * [HA]) = 6.7e-3 M; pH = -log (6.7E-3) = 2.17. c) Lewis structure is a carboxylic acid; double bond on top O atom, all other bonds single bonds, two lone pairs should be on both O atoms. d) i) H2NNH2 + HCOOH --> H2NNH3+ + HCOO-.This video shows how to solve question 3 from the 2021 AP Chemistry ® FRQ test. This question focused on spectrophotometry. This project was created with Exp...The alcohol burner uses a wick to draw liquid up into the flame. The mass of C3H70H(l) combusted is determined by weighing the alcohol burner before and after combustion. Data from the experiment are given in the table below. (a) Calculate the magnitude of the heat energy, in kJ, absorbed by the water.College Board just released its annual FRQs taken from the actual exam(May 2021). They are the most authentic and representative questions you can find as th...What is a good AP® Chemistry score? Scores of 3, 4, or 5 are considered “passing” scores on the AP® Chemistry Exam. The College Board describes a 3 as ‘qualified,’ 4 as ‘well qualified,’ and a 5 as ‘extremely well qualified.’. Scores of 3 or higher may qualify you for college credit, but many colleges and universities will ...Home » AP Chemistry » AP® Chemistry Scoring & Score Calculator. The AP® Chemistry exam has two sections. Each section accounts for 50% of the overall score. Section I includes 60 multiple-choice questions, while Section II has seven free-response questions. Of the 7 questions in Section II, 4 are short-answer questions, and 3 are long-essay ...balanced equation with the correct proportions among reactants and products. (e) Calculate the mass of the hydrocarbon that was combusted. mass = (number of moles)(molar mass) = (6.09 10 3 mol)(44.1 g/mol) = 0.269 g. point is earned for using the number of moles combusted from part (a).High temperature is required for the reactant particles to have sufficient thermal energy to overcome the activation energy of the reaction. 1 point. (g) For the correct peak height and location: The peak should be drawn to the right of the other peaks, and it should reach the second line above the horizontal axis.CHEMISTRY FREE-RESPONSE QUESTIONS 1. A student performs an experiment to determine the value of the enthalpy change, D H D rxn, for the. oxidation-reduction reaction represented by the balanced equation above. (a) Determine the oxidation number of Cl in. NaOCl. (b) Calculate the number of grams of Na 2 S 2 O 3 needed to prepare. 100.00 mL of 0. ... ….

Jan 11, 2023 · This video shows how to solve question 3 from the 2021 AP Chemistry ® FRQ test. This question focused on spectrophotometry. This project was created with Exp...24.7. 23.9. The following comments on the 2021 free-response questions for AP®Chemistry were written by the Chief Reader, Paul Bonvallet, The College of Wooster. They give an overview of each free-response question and of how students performed on the question, including typical student errors. General comments regarding the skills and …Dr V shares tips and strategies for successfully answering free response question #2 from the 2021 AP Chemistry exam.Write your responses to this question only on the designated pages in the separate Free Response. booklet. Write your solution to each part in the space provided for that part. A particle, P, is moving along the x-axis. The velocity of particle P at time t is given by v t P () = sin t1.5. for 0 £ t £ p .AP Chemistry 2021 Free Response Questions - Complete Paper (pdf) 2021 AP Chemistry Free Response #1 Answers. Methanoic acid, HCOOH, ionizes according to the equation above. …. Answer the following questions about the element Si and some of its compounds. …. See Video for Question 2 Answers. A student is given the task of determining the ...Mr. Ayton from www.mrayton.com goes through the AP Chemistry 2021 Exam Free Response Question #3 (FRQ #3)Home » AP Chemistry » AP® Chemistry Scoring & Score Calculator. The AP® Chemistry exam has two sections. Each section accounts for 50% of the overall score. Section I includes 60 multiple-choice questions, while Section II has seven free-response questions. Of the 7 questions in Section II, 4 are short-answer questions, and 3 are long-essay ...College Board just released its annual FRQs taken from the actual exam(May 2021). They are the most authentic and representative questions you can find as th... 2021 chem frq, Linux/Mac/Windows: Google's new utility, GoogleCL, allows you to access a handful of Google services from any *nix command line. Google's services are pretty easily accessible in t..., Jul 20, 2021 · AP Chemistry score distributions, 2019 vs. 2021. The following table enables comparisons of student performance in 2021 to student performance on the comparable full-length exam prior to the covid-19 pandemic. Of these 134,316 students, 2 achieved a perfect score from all professors/readers on all free-response questions and correctly answered ..., reaction between CO and. NH3. in the presence of hydronium ions. A proposed mechanism for the reaction consists of the three elementary steps shown below. Step 1: CH3OH + CO → HCO2CH3 Step 2: HCO2CH3 + NH3 → HCONH2 + CH3OH Step 3: HCONH2 + H3O+ → HCOOH + NH4 +. slow fast., Sample 4B 1 of 2. Begin your response to QUESTION 4 on this page. 4Fe(s) + 302(8) 2Fe203(s) M/. 0. 1650kJ / molrxn 4. A student investigates a reaction used in hand wanners, represented above. The student mixes Fe(s) with a catalyst and sand in a small open container., May 10, 2021 · Here are some initial thoughts on the AP Chemistry 2021 released FRQs. I will publish my draft answers later. Firstly, don’t forget that if you take the in-person, paper and pencil test, you are potentially at a huge disadvantage. Any student taking the exam digitally at home can have any number of helpers present, and the College Board has ..., The AP Chemistry Exam will test your understanding of the scientific concepts covered in the course units, as well as your ability to design and describe chemical experiments. Starting with the 2023 exam, a scientific or graphing calculator is recommended for use on both sections of the exam., (d) The average value of gon [1;4] is 2ˇ 4 Z 4 1 g(r)dr= ˇ Z 4 1 1 8cos3(1:57 p r) dr: (5) Carrying out a numerical integration, we nd that the required average value is, Study guides & practice questions for 9 key topics in AP Chem Unit 4 – Chemical Reactions Sign up. or. Log in. Find what you need to study ... We'll cover MCQ and FRQ logistics, scoring guidelines, effective strategies, and examples. AP Chemistry Multiple Choice Questions (MCQs) 4 min read • written by Kanya Shah. AP Chemistry Free Response …, If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. Download free-response questions from past AP Seminar exams, along with scoring guidelines, sample responses from exam takers, and scoring ..., Original free-response prompts for AP® Chemistry that mimic the questions found on the real exam. Our expert authors also provide an exemplary response for each AP free response question so students can better understand what AP graders look for., May 5, 2024 · Study guides & practice questions for 7 key topics in AP Chem Unit 2 – Molecular & Ionic Bonding ... Let's break down the AP Chemistry exam! We'll cover MCQ and FRQ logistics, scoring guidelines, effective strategies, and examples. ... AP Cram Sessions 2021. 🌶️ AP Chem Cram Review: Unit 1: Atomic Structure and Properties., 1 point (g) (i) For the correct calculated value (sign not required) : J g °C q mc T surr (51.0 g)(4.0 )(21.90 C 21.20 C) 140 J ⋅ = ∆= °− ° = 1 point (ii) For the correct calculated value, consistent with (g)(i), and the correct sign , consistent with (f): 3 3 33 140 J 0.14 kJ 1 mol CaCO 1 mol 1.00 g CaCO 0.00999 mol 100.09 g CaCO 1 mol CaCO, If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The 2020 free-response questions are available in the AP Classroom question bank. Download free-response questions from past AP World …, 4. Swirl to dissolve the solid. For the correct step to ensure quantitative dilution: 5. After the solid is dissolved, fill the flask to the calibration ( 200.00 mL ) mark and mix. Total for part (c) (d) For a drawing that shows product formation and indicates the conservation of …, 3 Apr 2020 ... Comments2 · AP Chem Exam Review with Dr V: 2018 FRQ #5 · AP Chemistry 2021 Free Response Question #2 · Congressman Ciscomani speaks on U of A&nb..., Write your responses to this question only on the designated pages in the separate Free Response. booklet. Write your solution to each part in the space provided for that part. A particle, P, is moving along the x-axis. The velocity of particle P at time t is given by v t P () = sin t1.5. for 0 £ t £ p ., Scoring notes: • To earn the point the interpretation must include “medication in the patient,” “approaches 12,” and units (milligrams), or their equivalents. Total for part (b) 1 point. (c) Use separation of variables to find y = A ( t ) , the particular solution to the differential equation dy = dt. 12 − y., AP Chemistry 2021 FRQs - Answers. Chemistry Resource. #1. a) Ka = [H3O+] [HCOO-]/ [HCOOH] b) Ka = x 2/ [HA]; x = sqrt (Ka * [HA]) = 6.7e-3 M; pH = -log (6.7E-3) = 2.17. c) Lewis structure is a carboxylic acid; double bond on top O atom, all other bonds single bonds, two lone pairs should be on both O atoms. d) i) H2NNH2 + HCOOH --> …, A Chem 14 blood test, also called a comprehensive metabolic panel, is a group of 14 tests used to check organ function and monitor certain health conditions. A Chem 14 measures blo..., More than a third of the world’s smartphone sales come from Chinese vendors Huawei, Xiaomi and Oppo. These manufacturers have thrived not only because they offer value-for-money ha..., Earlier this week, I took a short-notice trip from Atlanta (ATL) to Orlando (MCO) to cover opening day of Universal's theme parks. I found out the morning be... Earlier this week, ..., in the presence of hydronium ions. A proposed mechanism for the reaction consists of the three elementary steps shown below. Step 1: CH3OH + CO → HCO2CH3 Step 2: HCO2CH3 + NH3 → HCONH2 + CH3OH Step 3: HCONH2 + H3O+ → HCOOH + NH4 +. slow fast. fast. Overall reaction: CO + NH3 + H3O+., 2021 AP Exam Administration Scoring Guidelines - AP Chemistry College Board Advanced Placement; AP; 2021 ; AP Exam Administration ; Scoring Guidelines; scoring information; free-response scoring criteria; scoring resources; FRQ; teacher resources; exam information; ADA, If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. Download free-response questions from past AP Seminar exams, along with scoring guidelines, sample responses from exam takers, and scoring ..., 5 Questions. Directions: Questions 1, 4, and 5 are short free-response questions that require about 13 minutes each to answer and are worth 7 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space provided after that part., Write your responses to this question only on the designated pages in the separate Free Response. booklet. Write your solution to each part in the space provided for that part. A particle, P, is moving along the x-axis. The velocity of particle P at time t is given by v t P () = sin t1.5. for 0 £ t £ p ., Chemistry 2021 Free-Response Questions . Begin your response to . QUESTION 1 . on this page. CHEMISTRY . SECTION II . Time—1 hour and 45 minutes 7 Questions . YOU MAY USE YOUR CALCULATOR FOR THIS SECTION. Directions: Questions 1–3 are long free-response questions that require about 23 minutes each to answer and are worth 10 points each., Directions: Questions 1–3 are long free-response questions that require about 23 minutes each to answer and are worth 10 points each. Questions 4–7 are short free-response questions that require about 9 minutes each to answer and are worth 4 points each. For each question, show your work for each part in the space provided after that part., CHEMISTRY. YOU MAY USE YOUR CALCULATOR FOR THIS SECTION. Directions: Questions 1–3 are long free-response questions that require about 23 minutes each to answer and are worth 10 points each. Questions 4–7 are short free-response questions that require about 9 minutes each to answer and are worth 4 points each., In this video, we’ll unpack a sample free-response question—FRQ (Short).Download questions here: https://tinyurl.com/yhzk65wzStay motivated and keep preparin..., I am biochemist by training and I did my PhD thesis in polymer chemistry to become an expert in ring-opening polymerization, a polymerization process that I have deeply studied experimentally (Chem. Commun. 2008, …, 16.05. 27.10. 31.96. 16.88. 8.01. The following comments on the 2023 free-response questions for AP® Chemistry were written by the Chief Reader, Kyle A. Beran, Angelo State University. They give an overview of each free-response question and of how students performed on the question, including typical student errors., Questions 1–3 are long free-response questions that require about 23 minutes each to answer and are worth 10 points each. Questions 4–7 are short free-response questions that require about 9 minutes each to answer and are worth 4 points each. For each question, show your work for each part in the space provided after that part.