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Ch.14 - Chemical Kinetics
Chapter 14, Problem 106a

Consider the reaction: 2 NH3(aq) + OCl-(aq) → N2H4(aq) + H2O(l) + Cl- (aq) This three-step mechanism is proposed: NH3(aq) + OCl- (aq) Δk1k2 NH2Cl(aq) + OH- (aq) Fast NH2Cl(aq) + NH3(aq) →k3 N2H5+ (aq) + Cl- (aq) Slow N2H5+ (aq) + OH-(aq) →k4 N2H4(aq) + H2O(l) Fast a. Show that the mechanism sums to the overall reaction.

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1
Identify the reactants and products in each step of the mechanism.
Write down the reactants and products for each step: Step 1: NH_3(aq) + OCl^-(aq) \rightleftharpoons NH_2Cl(aq) + OH^-(aq), Step 2: NH_2Cl(aq) + NH_3(aq) \rightarrow N_2H_5^+(aq) + Cl^-(aq), Step 3: N_2H_5^+(aq) + OH^-(aq) \rightarrow N_2H_4(aq) + H_2O(l).
Add up all the reactants from each step and all the products from each step.
Cancel out any intermediates or species that appear on both sides of the equation.
Verify that the remaining reactants and products match the overall reaction: 2 NH_3(aq) + OCl^-(aq) \rightarrow N_2H_4(aq) + H_2O(l) + Cl^-(aq).

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Reaction Mechanism

A reaction mechanism is a step-by-step description of the pathway taken during a chemical reaction. It outlines the individual elementary steps that lead to the overall reaction, including the formation and consumption of intermediates. Understanding the mechanism helps in predicting the rate and outcome of the reaction, as well as identifying the role of catalysts and inhibitors.
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Rate-Determining Step

The rate-determining step is the slowest step in a reaction mechanism that controls the overall reaction rate. It is crucial because the speed of this step dictates how quickly the entire reaction proceeds. In the provided mechanism, identifying the slow step allows for a better understanding of how the reaction progresses and how changes in conditions might affect the rate.
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Stoichiometry

Stoichiometry involves the calculation of reactants and products in chemical reactions based on the balanced equation. It ensures that the law of conservation of mass is upheld, meaning the number of atoms of each element must be the same on both sides of the equation. In this context, verifying that the sum of the elementary steps matches the overall reaction requires careful stoichiometric analysis.
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Related Practice
Open Question
How old is a rock that contains 83.2% of the amount of uranium-238 it contained when it was formed?
Textbook Question

Consider the gas-phase reaction: H2(g) + I2(g) → 2 HI(g) The reaction was experimentally determined to be first order in H2 and first order in I2. Consider the proposed mechanisms. Proposed mechanism I: H2(g) + I2(g) → 2 HI(g) Single step Proposed mechanism II: I2(g) Δk1k-12 I(g) Fast H2( g) + 2 I( g) → k22 HI( g) Slow a. Show that both of the proposed mechanisms are valid.

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Textbook Question

Consider the gas-phase reaction: H2(g) + I2(g) → 2 HI(g) The reaction was experimentally determined to be first order in H2 and first order in I2. Consider the proposed mechanisms. Proposed mechanism I: H2(g) + I2(g) → 2 HI(g) Single step Proposed mechanism II: I2(g) Δk1k-12 I(g) Fast H2( g) + 2 I( g) → k22 HI( g) Slow b. What kind of experimental evidence might lead you to favor mechanism II over mechanism I?

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Open Question
What rate law corresponds to the proposed mechanism for the formation of hydrogen bromide, which can be written in a simplified form as: Br2(g) → 2Br(g) (Fast) Br(g) + H2(g) → HBr(g) + H(g) (Slow) H(g) + Br2(g) → HBr(g) + Br(g) (Fast)?
Open Question
What rate law corresponds to the proposed mechanism for the formation of hydrogen iodide, which can be written in simplified form as: I2 Δk1k-1 2I (Fast), I + H2 Δk2k-2 H2I (Fast), H2I + I ¡k3 2HI (Slow)?
Textbook Question

A certain substance X decomposes. Fifty percent of X remains after 100 minutes. How much X remains after 200 minutes if the reaction order with respect to X is (c) second order?

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