According to the data in the following table and the chemical reaction shown bel

Question

According to the data in the following table and the chemical reaction shown below, the rate expression is: CO(g) + NO2(g) --> CO2(g) + NO(g) (-[CO]/t) M s-1 Question options: a) Rate = 0.2 [CO] [NO2]2 b) Rate = 5.2 [CO]2[NO2] c) Rate = 5.2 [CO] [NO2] d) Rate = 0.2 [CO]2 [NO2] e) Rate = 0.2 [CO] [NO2]

[CO] M                                   [NO2] M                  (-[CO]/t) M s-1

8.0 x 10-4                     5.5 x 10-4 8.4 x 10-8

   8.0 x 10-4       11 x 10-3            1.7 x 10-7

    1.6 x 10-3              5.5 x 10-4    1.7 x 10-7

Explanation / Answer

Let the rate r = K[CO]a [NO2]b

From data-1

8.4*10-8 = K[ 8*10-4]a [5.5*10-4]b                        (1)

From data -2

1.7*10-7 = K[ 8*10-4]a [11*10-3 ]b               (2)                 

Eq.2/Eq.1 gives

2= 2b, b=1

1.7*10-7 = K[ 1.6*10-3]a [5.5*10-4 ]b               (3)             

Eq.3/Eq.1 gives

2= 2a, a=1   

The rate becomes r= K[CO][NO2]

From eq.1, 8.4*10-8 = K[ 8*10-4] [5.5*10-4]       =K*44*10-8           

K= 0.19

The rate r= 0.19[CO] [NO2]

The closest answer is r= 0.2 [CO][NO2]

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