Exam 13: Kinetics: Mechanisms and Rates of Reactions

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Explain the concepts of a mechanism and a rate-determining step in a chemical reaction.

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A reaction mechanism is the exact molecular pathway that starting materials follow on their way to becoming products. The overall reaction is the sum of the elementary steps in the mechanism. The rate-determining step is the slowest step in the reaction mechanism. The overall reaction cannot go faster than the rate-determining step.

The reaction of ozone with oxygen atoms to produce molecular oxygen has a rate constant of 4.8x106 1/M s at 25oC. A 20 degree increase in temperature results in a rate constant of 7.4x106 1/M s. What is the rate constant at 100oC?

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1.9x107 1/M s

Determine rate laws from concentration versus time data.

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Rate laws must be determined from experimental data. The half-life of a first-order reaction is a constant. The half-life of a second-order reaction depends on the initial concentration.

A proposed mechanism for the following reaction, A2 + B2 \rightarrow 2AB, isA2  A proposed mechanism for the following reaction, A<sub>2</sub> + B<sub>2</sub>  \rightarrow  2AB, isA<sub>2</sub>   2AA + B<sub>2</sub>  \rightarrow AB + B slowB +A<sub>2</sub>  \rightarrow AB + ADetermine the rate law. 2AA + B2 \rightarrow AB + B slowB +A2 \rightarrow AB + ADetermine the rate law.

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Nitrous oxide, N2O, decomposes on metal surfaces readily at high temperatures following first-order kinetics for the equation: 2 N2O (g) \rarr 2 N2 (g) + O2 (g) The following data are obtained for a reaction at 850°C:  Nitrous oxide, N<sub>2</sub>O, decomposes on metal surfaces readily at high temperatures following first-order kinetics for the equation: 2 N<sub>2</sub>O (g)   \rarr   2 N<sub>2</sub> (g) + O<sub>2</sub> (g) The following data are obtained for a reaction at 850°C:   What was the initial concentration of N<sub>2</sub>O (t = 0)? What was the initial concentration of N2O (t = 0)?

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The rate of a reaction

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The following reaction takes place at 80.1°C: Ru(NH3)5Cl2+ (aq) + H2O (l) \rarr Ru(NH3)5(H2O)3+ (aq) + Cl- (aq) The following time and concentration data are collected:  The following reaction takes place at 80.1°C: Ru(NH<sub>3</sub>)<sub>5</sub>Cl<sup>2+</sup> (aq) + H<sub>2</sub>O (l)   \rarr  Ru(NH<sub>3</sub>)<sub>5</sub>(H<sub>2</sub>O)<sup>3+</sup> (aq) + Cl<sup>-</sup> (aq) The following time and concentration data are collected:   Which of the following is the correct value of the rate constant? Which of the following is the correct value of the rate constant?

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Trioxane undergoes decomposition to formaldehyde at elevated temperatures.C3H6O3 (g) \rightarrow 3 CH2O (g)The following data was collected for the gas phase reaction at 519ºK:  Trioxane undergoes decomposition to formaldehyde at elevated temperatures.C<sub>3</sub>H<sub>6</sub>O<sub>3</sub><sub> </sub>(g)<sub> </sub> \rightarrow 3 CH<sub>2</sub>O (g)The following data was collected for the gas phase reaction at 519ºK:   Determine the order of the decomposition in trioxane and the rate constant at 519ºK. Determine the order of the decomposition in trioxane and the rate constant at 519ºK.

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You are running late for a basketball game on your campus and you are thinking about what will be the rate determining step for attending the basketball game? Which of the following will be your rate determining step?

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The following are initial rate data for 2 NO + 2 H2 \rightarrow N2 + 2 H2O  The following are initial rate data for 2 NO + 2 H<sub>2</sub>  \rightarrow  N<sub>2</sub> + 2 H<sub>2</sub>O   The rate law is determined to be: rate = k[NO]<sup>2</sup>[H<sub>2</sub>]. With this information determine k using the data from experiment 2. The rate law is determined to be: rate = k[NO]2[H2]. With this information determine k using the data from experiment 2.

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Butadiene reacts to form its dimmer according to the following reaction: Butadiene reacts to form its dimmer according to the following reaction:   Concentration versus time data were collected for this reaction and a plot of 1/[C<sub>4</sub>H<sub>6</sub>] resulted in a straight line with slope 6.14 x10<sup>-2</sup> M s<sup>-1</sup>. The integrated for of the rate law is Concentration versus time data were collected for this reaction and a plot of 1/[C4H6] resulted in a straight line with slope 6.14 x10-2 M s-1. The integrated for of the rate law is

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The industrial production of 2-propanol involves the reaction of propene with sulphuric acid and then water. Write the second step of the mechanism if the following is the first step: The industrial production of 2-propanol involves the reaction of propene with sulphuric acid and then water. Write the second step of the mechanism if the following is the first step:

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The reaction of ozone with oxygen atoms to give oxygen has an activation energy of 17.1 kJ/mole with a rate constant at 298oK, k = 4.8 x 106 1/M•s. Calculate the rate constant for this reaction at 315oK.

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Consider the aqueous phase reaction between the dichromate anion and iron (II) cations:14 H3O+(aq) + Cr2O72- + 6Fe2+(aq) \rarr 2Cr3+(aq) + 21H2OWhat is the reaction rate expressed in terms of changing H3O+ concentration?

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Determine the rate law, given the mechanism and knowledge of the relative rates of steps of a reaction.

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Assume that the following first-order reaction has a rate constant k = 0.0137/min: SO2Cl2 \rightarrow SO2 + Cl2 Given the initial [SO2Cl2] = 0.42 M, how many minutes will it take for [SO2Cl2] = 0.19 M?

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Consider the aqueous phase reaction between hydrogen gas and liquid bromine:H2(g) + Br2(g) \rarr 2HBr(g)Which of the following expressions accurately express the rate of the above reaction? I. Reaction rate =  Consider the aqueous phase reaction between hydrogen gas and liquid bromine:H<sub>2</sub>(g) + Br<sub>2</sub>(g)  \rarr  2HBr(g)Which of the following expressions accurately express the rate of the above reaction? I. Reaction rate =   II. Reaction rate =   III. Reaction rate =   IV. Reaction rate =   II. Reaction rate =  Consider the aqueous phase reaction between hydrogen gas and liquid bromine:H<sub>2</sub>(g) + Br<sub>2</sub>(g)  \rarr  2HBr(g)Which of the following expressions accurately express the rate of the above reaction? I. Reaction rate =   II. Reaction rate =   III. Reaction rate =   IV. Reaction rate =   III. Reaction rate =  Consider the aqueous phase reaction between hydrogen gas and liquid bromine:H<sub>2</sub>(g) + Br<sub>2</sub>(g)  \rarr  2HBr(g)Which of the following expressions accurately express the rate of the above reaction? I. Reaction rate =   II. Reaction rate =   III. Reaction rate =   IV. Reaction rate =   IV. Reaction rate =  Consider the aqueous phase reaction between hydrogen gas and liquid bromine:H<sub>2</sub>(g) + Br<sub>2</sub>(g)  \rarr  2HBr(g)Which of the following expressions accurately express the rate of the above reaction? I. Reaction rate =   II. Reaction rate =   III. Reaction rate =   IV. Reaction rate =

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The rate constant of the reaction, O (g) + N2 (g) \rightarrow NO (g) + N (g), is 9.7 x 10101/M•s at 800oK and has an activation energy of 315 kJ/mole. What is the value of the rate constant at 700oK?

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The following rate constants were obtained at the stated temperatures for the first-order reaction:A \rightarrow B  The following rate constants were obtained at the stated temperatures for the first-order reaction:A \rightarrow  B   Find the activation energy (in kJ/mole) for this reaction. Find the activation energy (in kJ/mole) for this reaction.

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It has been suggested that the decomposition of NO2 occurs via the following mechanism: NO2 \rarr NO + O (Rxn I) O + NO2 \rarr 2NO + O2 (Rxn II) Predict the rate determining step.

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