Exam 13: Kinetics: Mechanisms and Rates of Reactions

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Why does the rate of a reaction generally slow with time?

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For a large number of reactions in organic chemistry, an increase in temperature 10°C over room temperature will double the rate. What activation energy does this correspond to?

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The reaction of NO2 with CO to give CO2 and NO can proceed through different mechanisms. What first step would be consistent with the following rate law?Rate = k[NO2][CO]

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Which of the following are bimolecular processes? I.  Which of the following are bimolecular processes? I.   II. NO   \rarr   ONNO III. H<sub>2</sub>C = CHCH<sub>3</sub> + H<sub>2</sub>SO<sub>4</sub><sub> </sub>  \rarr  CH<sub>3</sub>CH(OSO<sub>2</sub>(OH))CH<sub>3</sub> IV.   V. H<sub>2</sub>   \rarr   2 H• II. NO \rarr ONNO III. H2C = CHCH3 + H2SO4 \rarr CH3CH(OSO2(OH))CH3 IV.  Which of the following are bimolecular processes? I.   II. NO   \rarr   ONNO III. H<sub>2</sub>C = CHCH<sub>3</sub> + H<sub>2</sub>SO<sub>4</sub><sub> </sub>  \rarr  CH<sub>3</sub>CH(OSO<sub>2</sub>(OH))CH<sub>3</sub> IV.   V. H<sub>2</sub>   \rarr   2 H• V. H2 \rarr 2 H•

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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 rate of increase of Cr3+ concentration expressed in terms of changing H3O+ concentration?

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The reaction of NO with O2 to give oxygen is known to follow a third order rate law(rate = k[NO]2[O2]). Two possible mechanisms are shown below: The reaction of NO with O<sub>2</sub> to give oxygen is known to follow a third order rate law(rate = k[NO]<sup>2</sup>[O<sub>2</sub>]). Two possible mechanisms are shown below:   Which of these two mechanisms is a more acceptable mechanism, based on the criteria given above? Which of these two mechanisms is a more acceptable mechanism, based on the criteria given above?

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It is determined that the charcoal in a fire pit used as an ancient hearth has lost about 42.3% of the initial 14C. How old was the fire pit if 14C has a half life of 5730 years?

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At moderate temperatures, the rate law for the reaction of NO2 and CO to give CO2 and NO follows the rate law shown below:rate = k [NO2]2 At moderate temperatures, the rate law for the reaction of NO<sub>2</sub> and CO to give CO<sub>2</sub> and NO follows the rate law shown below:rate = k [NO<sub>2</sub>]<sup>2</sup>   In which flask will the reaction be faster and how much faster? In which flask will the reaction be faster and how much faster?

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The rate law for the reaction of NO with O2 to give NO2 is shown below:rate = k [NO]2[O2] a) If all other conditions are kept constant, what will be the effect on the rate if the concentration of NO is doubled? b) If all other conditions are kept constant, what will be the effect on the rate if the concentration of O2 is doubled?

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The reaction of NO2 with CO to give CO2 and NO can proceed through different mechanisms. What rate law would be consistent for the following first step? 2 NO2 \rightarrow NO + NO3

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Cyclohexane is manufactured from the reaction of benzene with hydrogen: C6H6(g) + 3 H2(g) \rarr C6H12(g) If the initial concentration of hydrogen was 1.5 M and 5 minutes later the hydrogen concentration is 0.34 M, what is the average rate of appearance of cyclohexane?

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Sucrose, cane sugar, reacts with water in acid solution to give glucose and fructose, which have the same chemical formula. C12H22O11 (aq) + H2O (l) \rightarrow 2 C6H12O6 (aq) The following data were obtained at room temperature for sucrose:  Sucrose, cane sugar, reacts with water in acid solution to give glucose and fructose, which have the same chemical formula. C<sub>12</sub>H<sub>22</sub>O<sub>11</sub> (aq) + H<sub>2</sub>O (l)  \rightarrow 2 C<sub>6</sub>H<sub>12</sub>O<sub>6</sub> (aq) The following data were obtained at room temperature for sucrose:   Use graphical means to determine the order of the reaction and write the rate law with the numerical value of the rate constant with time units of seconds. Use graphical means to determine the order of the reaction and write the rate law with the numerical value of the rate constant with time units of seconds.

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Which of the following does NOT occur during a reaction facilitated by a heterogeneous catalyst?

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The reaction A + 2B \rarr products was found to have the rate law; rate = k[A] [B]2. While holding the concentration of A constant, the concentration of B was increased from 0.010M to 0.030M. Predict by what factor the rate of reaction will increase.

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Nitrogen dioxide, NO2 will react with carbon monoxide, CO, to form nitric oxide, NO, and carbon dioxide, CO2. A proposed mechanism is: 2NO2 \rarr NO3 + NO NO3 + CO \rarr NO2 + CO2 Experiments indicate that the rate of the reaction is independent of the CO concentration. Identify the rate determining step and derive the rate law consistent with the mechanism and experimental observation.

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A 1.66 x 10-4 mole sample of 239Pu undergoes 9 x 107 decays per second obeying first-order kinetics. How many decays per second would be expected from a 5.46 x 10-1 mole sample?

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Hydrogen and iodine react to form HI. One possible mechanism is shown below:I2(g)  Hydrogen and iodine react to form HI. One possible mechanism is shown below:I<sub>2</sub>(g)   2 I(g) H<sub>2</sub>(g) + 2 I(g)   \rarr  2 HI(g) Consider the following statements in light of this mechanism: I. The rate law overall is second order. II. The iodine atom is an intermediate. III. The first step is the rate determining step. IV. The second step is the fast step. V. The second step is rate determining. Which of the above statements are true? 2 I(g) H2(g) + 2 I(g) \rarr 2 HI(g) Consider the following statements in light of this mechanism: I. The rate law overall is second order. II. The iodine atom is an intermediate. III. The first step is the rate determining step. IV. The second step is the fast step. V. The second step is rate determining. Which of the above statements are true?

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Show that the mechanism and rate law are closely related.

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A particular first-order reaction is characterized by activation energy of 50 kJ/mole. At what temperature would the rate of the reaction be 10 times that at 298oK?

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For the following reaction A + B \rightarrow C + D, the rate law is determined to be Rate = k[A]2a) Of the five proposed mechanisms shown below, which is consistent with the experimentally determined rate law? 1. 2 A \rightarrow Z (slow)2 B + Z \rightarrow 2 C + 2 D (fast) 2. A + B \rightarrow C + D (slow) 3. 2 B \rightarrow N (slow)2 A + N \rightarrow 2 C + 2 D (fast) 4. A \rightarrow X (slow)B + X \rightarrow C + D (fast) 5. B \rightarrow M (slow)A + M \rightarrow C + D (fast)b) Are there any intermediates in the mechanism you chose and if so what?

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