Chemistry Practice Problems Rate Law Practice Problems Solution: Nitrogen monoxide gas can react with oxygen to pro...

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Solution: Nitrogen monoxide gas can react with oxygen to produce nitrogen dioxide gas as represented below2 NO (g) + O2 (g) → 2 NO2 (g)A rate study of the reaction yielded the data recorded in the table below                                                                                                                     Experiment     Initial Conc. of NO (molL-1)    Initial conc. of O2 (mol L-1s-1)    Initial rate of formation of NO2         1                             .0200                                .0300                                  8.52 x10 -2      2                             .0200                                .0900                                 2.56 x 10-1      3                             .0600                                .0300                                 7.67 x 10-1a) Determine the order of the reaction with respect to each of the following reactants. Give details of your reasoning, clearly explaining or showing how you arrived at your answers.i) NO   ii) O2   b) Write the expression for the rate law of the reaction as determined from the experimental data  c) Determine the value of the rate constant for the reaction, clearly indicating the units

Problem

Nitrogen monoxide gas can react with oxygen to produce nitrogen dioxide gas as represented below
2 NO (g) + O2 (g) → 2 NO2 (g)

A rate study of the reaction yielded the data recorded in the table below
                                                                                                                     
Experiment     Initial Conc. of NO (molL-1)    Initial conc. of O2 (mol L-1s-1)    Initial rate of formation of NO2   
      1                             .0200                                .0300                                  8.52 x10 -2
      2                             .0200                                .0900                                 2.56 x 10-1
      3                             .0600                                .0300                                 7.67 x 10-1

a) Determine the order of the reaction with respect to each of the following reactants. Give details of your reasoning, clearly explaining or showing how you arrived at your answers.
i) NO

 

 

 

ii) O2

 

 

 

b) Write the expression for the rate law of the reaction as determined from the experimental data

 

 

c) Determine the value of the rate constant for the reaction, clearly indicating the units

Solution

(a) To calculate the order of the reaction with respect to each reactant, we will use the experimental data given. 


(i) NO

Look for the experimental data where the concentration of NO changes while the concentration of O2 remains the same.

                                                                                                                      (mol L-1s-1)
Experiment     Initial Conc. of NO (molL
-1)    Initial conc. of O2      Initial rate of formation of NO2
        1                             .0200                                .0300                              8.52 x10
 -2
        2                             .0200                                .0900                              2.56 x 10-1
        3                             .0600                                .0300                              7.67 x 10
-1

Calculate order with respect to NO:

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