Topic III- Pre-class Problem As discussed in the previous recitation, the rate law for the reaction 2 H2(g) + 2NO(g) ↔ N2(g) + 2H2O(g) is Rate=k[H2][NO]2 (at least at low concentrations of H2). A possible mechanism for this reaction with two steps and an oxygen atom intermediate might take the form: H2 + 2NO → N2 + X + O (Step 1; k1) O+Y→Z (Step 2; k2) A. Identify the chemical species X, Y, and Z in the mechanism. Write down your logic. Answer the question. What concepts are being challenged? B. Which step must be the rate limiting step of the mechanism to yield the observed rate law? Answer the question. What concepts do you have to understand to answer this question? Rewrite the question so that the answer you gave above is incorrect. C. J. Parker Siburt and R. MacPhail, Duke University 2008 Topic III In-Class Group Problem An alternative mechanism for the reaction Rate = kobs[NO]2[H2] is: 2NO + 2H2 → N2 + 2H2O with 2NO → N2O2 k1 forward; k-1 backward N2O2 + H2 → N2O + H2O k2 N2O + H2 → N2 + H2O k3 A) Show that this mechanism yields the overall reaction stoichiometry. B) Identify any intermediates. C) If the second step is the slow, rate determining step, and the first step is in rapid equilibrium, find the predicted the rate law and show it is consistent with the observed rate law. C. J. Parker Siburt and R. MacPhail, Duke University 2008 Topic III Problem Manipulation At high concentrations of [H2] the observed rate law is found to change to the form: Rate = k[NO]2 i.e. the rate becomes independent of [H2]. Assess whether the two step mechanism, you should to be plausible in the pre-problem, can explain this additional data. Reexamine the mechanism in the Pre-recitation Problem: 2NO + H2 → O + H2O + N2 slow k1 O + H2 → H2 O k2 Write the forward rates for both steps. Based on these rates, would you expect the mechanism to change as [H2] increases? (Hint look at the ratio) Can this mechanism give the rate law Rate = k[NO]2 observed at high [H2]? What other aspect of this two step mechanism might make it less likely to be the correct mechanism? C. J. Parker Siburt and R. MacPhail, Duke University 2008 Name: Quiz 1 TA:______________________ Rec Time: 8:45 10:20 11:55 At high concentrations of [H2] the observed rate law for the reaction 2NO + 2H2 → N2 + 2H2O is found to be: Rate = kobs[NO]2 i.e. the rate becomes independent of [H2]. Assess whether the following three step mechanism can explain this observation. Examine the mechanism: 2NO → N2O2 k1 forward; k-1 backward N2O2 + H2 → N2O + H2O k2 N2O + H2 → N2 + H2O k3 Which step would you predict to be the slow step at high [H2] and why? Support your answer by comparing the forward rate laws for the first two steps. Based on your answer above, what overall rate law would you predict under these high [H2] conditions? Does your predicted rate law agree with the observed rate law at high [H2]? What are the units of k1, k-1, and kobs? This problem is a manipulation of the first group problem from recitation that dealt with the same three step mechanism. Identify one underlying concept common to both problems (group and quiz) and BRIEFLY explain how the quiz and the group problem approach that concept differently. C. J. Parker Siburt and R. MacPhail, Duke University 2008
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