Midterm Exam Guidelines CHEM 102 Winter 2023 Chemistry 102 Midterm Exam 1 Instructions Date/Time: Monday, February 6th from 6:30 – 7:30 PM 1 hour writing time Location: Check your room assignment on eClass Item Checklist: Pen (black or dark blue ink). Do not use red ink or light colours. Approved scientific non-programmable calculator ONECard or valid photo ID (driver’s licence, passport) Sample Questions Please attempt the mock exam to become familiar with the format of questions on your midterm exam. *Disclaimer: You are responsible for all material covered in Unit 1 and first part of Unit 2 (up to and including Section 3). Do not expect the midterm to have the same topics or weight of topics as these practice questions. These questions were chosen simply to provide more experience. Midterm 1 will cover all of UNIT 1 (with emphasis on topics covered that were not covered on Quiz #1), as well introductory Topics from Equilibrium (10% of the exam). When attempting questions for practice: DO NOT EXPECT THAT YOU WILL GET THE SAME QUESTIONS -- REVIEW YOUR CLASS NOTES, PROBLEM SETS, AND QUIZZES. If you require additional practice, problem sets and textbook problems can also be utilized (suggested problems are provided in the lecture notes). I recommend that you try the sample exam questions in a “closed-book format”. By simulating exam conditions, you get a better sense of your confidence and preparedness. Please note that the actual midterm exam will be longer. It should take you no longer than 40 minutes to finish the sample exam questions. Department of Chemistry, University of Alberta (2023) 1 Sample Exam Questions CHEM 102 Winter 2023 1. Multiple Choice (a) (2 marks) The reaction between A and B has a rate constant of 9 x 10 -3 M-1/2s-1. Which of the following is a possible rate law for this reaction? Circle one. (i) (ii) (iii) (iv) (v) Rate = k [A]2[B]2 Rate = k [A]1/2[B]1/2 Rate = k [A][B]-1/2 Rate = k [A]1/2[B] None of the above Make sure units cancel so that the rate (on the left side of eqn.) is in units of M/s or mol/L s (b) (2 marks) For the reaction, A (g) + B (g) C (g) The following data was obtained at constant temperature: Expt. Initial [A] mol/L Initial [B] mol/L Initial Rate mol/L s 1 0.10 0.20 0.31 2 0.20 0.20 1.24 3 0.20 0.10 0.62 The rate law is Rate = k[A]x[B]y where (i) x = 1, y = 1 When [A] is doubled reaction rate quadruples order with respect to [A] is 2. When [B] is halved, rate is halved order (ii) x = 1, y = 2 with respect to [B] is 1. OR solve mathematically: (iii) x = 2, y = 2 rate2/rate1 = (1.24)/(0.31) = [(0.20)/(0.10)]x (iv) x = 2, y = 1 4 = (2)x x=2 (v) x = 1, y = 0 rate2/rate3 = (1.24)/(0.62) = [(0.20/(0.10)]y 2 = (2)y y=1 (d) (2 marks) Consider the formation of ethane, C2H2(g) + 2H2(g) C2H6(g) H°rxn = –311 kJ Under which reaction conditions would you expect to have the greatest equilibrium yield of ethane? (i) (ii) (iii) (iv) (v) high temperature, high pressure High pressure will shift eq. position to side with less low temperature, high pressure moles of gas (towards ethane) high temperature, low pressure Low temperature exothermic rxn favoured low temperature, low pressure none of the above, unless a catalyst is present 2. True/False and Short Answer (a) (2 marks) Indicate whether the statement is true or false. Justify your choice with a brief explanation. The units of the rate of reaction depend on the order of the reaction. True False The units of the rate are concentration/time, hence they are not influenced by the order of the reaction. The units of the rate constant, k however, do change with order. Department of Chemistry, University of Alberta (2023) 2 Sample Exam Questions CHEM 102 Winter 2023 (b) (3 marks) Excluding enzymes, there are two general types of catalysts. List them below and provide an example of each. Type of catalyst Homogeneous catalyst Example I- in H2O2 decomposition (discussed in class) Type of catalyst Heterogeneous catalyst Example Metal surface for hydrogenation of double bonds; metal surface in catalytic converter; 3. Numerical The reaction below occurs via a second order process. AB (g) A (g) + B (g) (a) (3 marks) At a temperature of 25C, a 2.00 M sample of AB has a second half-life of 5.00 s. Determine how long it would take this sample to undergo 60.0 % decomposition. Use t1/2 for 2nd order reaction to find k: t / = [ ] At the beginning of the reaction, [AB] was 2.00M. At the end of the first half life, [AB] had dropped to 1.00M. So at the beginning of half life #2, [AB] 0 = 1.00M 1 5. 00 s = k = 0.200 M-1s-1 k(1.00M) Use second order integrated rate law to determine time necessary for 60.0% decomposition. If the sample has decomposed by 60.0%, the amount of AB remaining is 0.400(2.00 M) = 0.800 M 1 1 = (0.200 M s )t + (0.800 M) 2.00 M t = 3.75s (b) (3 marks) The activation energy of the reaction is 70 kJ mol -1. Calculate the rate constant of the reaction at 150C. =− ln Ea 1 R T2 – 1 where we can use the k and T from (a) of this problem for T1 k1 = 0.200 M-1s-1 and T = 298K ln . =− 70 8.314 1 ∙ ( ) – 1 (298K) Solve for k2 = 8.45102 M-1s-1 Department of Chemistry, University of Alberta (2023) 3 Sample Exam Questions CHEM 102 Winter 2023 4. Written Response For the reduction reaction of nitric oxide by H2, the following three-step reaction mechanism has been proposed: 2 NO (g) N2O2 (g) N2O2 (g) + H2(g) N2O(g) + H2O(g) N2O (g) + H2(g) N2(g) + H2O(g) STEP 1: STEP 2: STEP 3: Fast Fast Slow (a) (1 mark) List the intermediate(s) in the proposed mechanism. N2O and N2O2 are intermediates (b) (5 marks) What is the rate law for the overall reaction? Rate is determined from the rate limiting (rate determining) step: 1 mark Rate3 = k3 [N2O][H2] Intermediates cannot appear in the overall rate law. Hence, [N2O] must be substituted: In STEP 2, equilibrium is established. Therefore, Forward rate = Reverse rate k2 [N2O2] [H2]= k-2 [N2 O] [H2 O] Solving for [N2O]: [N2O] = 1.5 marks k2 [N2O2] [H2] k-2 [H2 O] Using STEP 1 to substitute the other intermediate, [N 2O2]: k1 [N2O2] = k-1 [NO]2 k1 [NO]2 Solving for [N2O2]: [N2O2] = k-1 Substituting into the rate law given by the rate determining step: Rate = 1.5 marks 1 mark k3 k2 k1 [NO]2 [H2 ]2 k-2 k-1 [H2 O] [Kinetics, Case II mechanism problem - very similar to PS#2 Q4] concentration (c) (3 marks) Sketch on the plot below, relative to each other, a reactant’s concentration versus time for a zero order and for a first order reaction that have the same k and starting concentration. Label the two sketches to distinguish between them. Zero Order Order First Order Order Both curves should be decreasing. For zero order, [r] versus time is linear. For first order, it is nonlinear. time Department of Chemistry, University of Alberta (2023) 4 Sample Exam Questions CHEM 102 Winter 2023 Formulas [A]t = – kt + [A]o ln [A]t = – kt + ln [A]0 1 [A]t = kt + Rate = or ln [A]t [A]o = – kt 1 ±1 ∆[X] = k [A] [B] … x ∆t Math / = 𝑡 / 𝑡 [A]0 k=A𝑒 𝑡 ln (k) = - Ea RT [A]0 2k k 1 = / ln(2) = k [A]0 (X = reactant or product) + ln (A) ln k1 k2 = Ea 1 R T2 – 1 T1 Miscellaneous Constants ln (x) = y x = ey ln (xy) = ln(x) + ln(y) ln = ln (x) – ln (y) ln (xa) = a ln (x) Department of Chemistry, University of Alberta (2023) 5