Chemical Kinetics - Practice Problems, Lecture notes of Chemical Kinetics

T. R a t e. Page 2. General Chemistry II. 2. Describe the difference between the terms rate of reaction, rate law, and rate constant. Give an example of each. 3 ...

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General Chemistry II
Chemical Kinetics - Practice Problems
1. Which of the following graphs best describes the relationship between the rate of
a reaction and the temperature of the reaction?
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Chemical Kinetics - Practice Problems

  1. Which of the following graphs best describes the relationship between the a reaction and the temperature of the reaction? rate of

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  1. Describe the difference between the terms rate of reaction, rate law, and rate constant. Give an example of each.
  2. What are the units of the rate constant for the following reaction? 2NO 2 ( g ) โ†’ N 2 O 4 ( g ) Rate = k [NO 2 ]^2
  3. Calculate the rate at which Nmoment in time when NO 2 O 4 is formed in the following reaction at the 2 is being consumed at a rate of 0.0592 M/s: 2NO 2 ( g ) โ†’ N 2 O 4 ( g )
  4. NO reacts with H 2 according to the following equation: 2NO( g ) + 2H 2 ( g )โ†’ N 2 ( g ) + 2H 2 O( g ) The mechanism for this reaction involves two steps: 2NO + H 2 โ†’ N 2 + H 2 O 2 (slow step) H 2 O 2 + H 2 โ†’ 2H 2 O (fast step) What is the experimental rate law for this reaction?
  5. The disproportionation of NO to N 2 O and NO 2 is third order in NO: 3NO( g ) โ†’ N 2 O( g ) + NO 2 ( g ) Rate = k [NO] 3 This rate law is consistent with which of the following mechanisms? a) 3NO โ†’ N 2 O + NO 2 (one-step) b) 2NON โ†’ N 2 O 2 (slow step) 2 O^2 + NO^ โ†’^ N^2 O + NO^2 (fast step) c) 2NO N 2 O 2 (fast step) N 2 O 2 + NO โ†’ N 2 O + NO 2 (slow step)

Chemistry 123/125 General Chemistry II

  1. The reaction in which NO 2 forms a dimer is second order in NO 2 : 2NO 2 ( g ) โ†’ N 2 O 4 ( g ) Rate = k [NO 2 ]^2 Calculate the rate constant for this reaction if it takes 0.005 s for the initial concentration of NO 2 to decrease from 0.50M to 0.25M.
  2. The decomposition of hydrogen peroxide is first order in H 2 O 2 : 2H 2 O 2 ( aq ) โ†’ 2H 2 O( l ) + O 2 ( g ) Rate = k [H 2 O 2 ] How long will it take for half of the H the rate constant for this reaction is 5.6 x 10 2 O 2 in a 10- (^2) s- (^1) ?-gal sample to be consumed if
  3. Calculate the rate constant for the following acid-base reaction if the half-life for this reaction is 0.0282 s at 25^0 C and the reaction is first order in the NH 4 +^ ion: NH 4 +( aq ) + H 2 O( l ) โ†’ NH 3 ( aq ) + H 3 O+( aq )
  4. Use the following data to determine the rate law for the decomposition of N 2 O. 2N 2 O( g ) โ†’ 2N 2 ( g ) + O 2 ( g ) [N 2 O] (M): 0.100 0.086 0.079 0.075 0.066 0.059 0.0 49 Time (s): 0 80 120 160 240 320 480
  5. Use the results of the preceding problem to calculate the rate constant for this reaction. Predict the concentration of N 2 O after 900 s.
  6. Dimethyl ether, CH following equation: 3 OCH3,, decomposes at high temperatures as shown in the CH 3 OCH 3 ( g ) โ†’ CH 4 ( g ) + H 2 ( g ) + CO( g ) The following data were obtained when the partial pressure of CH studied as this compound decomposed at 500oC. Use these data to determine the 3 OCH 3 was order of this reaction. PCH3OCH3 (mmHg): 312 278 251 227 157 Time (s): 0 390 777 1195 3155
  1. The rate constant for the decomposition of N 2 O 5 increases from 1.52 x 10-5^ s-1^ at 250 C to 3.83 x 10 -3^ s-1^ at 45 0 C. Calculate the activation energy for this reaction.
  2. Calculate the activation energy for the following reaction if the rate constant forthis reaction increases from 87.1 M-1 (^) s-1 (^) at 500K to 1.53 x 10 3 M-1 (^) s-1 (^) at 650K:

2NO 2 ( g )โ†’ 2NO( g ) + O 2 ( g )

  1. Calculate the activation energy for the decomposition of NOtemperature dependence of the rate constant for this reaction: 2 from the

2NO 2 ( g ) โ†’ N 2 ( g ) + 2O 2 ( g ) Temperature (K): 319 329 352 381 389 k (M-^1 s-^1 ): 0.522 0.755 1.70 4.02 5.

  1. Calculate the rate constant at 780 K for the following reaction if the rate constantfor the reaction is 3.5 x 10-7 (^) M-1 (^) s-1 (^) at 550 K and the activation energy is 188 kJ/mol: 2HI( g ) โ†’ H 2 ( g ) + I 2 ( g )
  2. Calculate the rate constant at 75for this reaction is 6.5 x 10-5 (^) M-1 (^) s (^0) -1^ C for the following reaction if the rate constant (^) at 25 0 C and the activation energy is 92. kJ/mol: CH 3 I( aq ) + OH -^ ( aq )โ†’ CH 3 OH( aq ) + I-^ ( aq )