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For the reaction 2NO_2 (g)2NO_2 (g)+O_2 (g) T he data given below was collected:

ID: 938216 • Letter: F

Question

For the reaction 2NO_2 (g)2NO_2 (g)+O_2 (g)

The data given below was collected:

Time(s)

[NO2]

Ln[NO2]

1/[NO2]

0

0.110

-2.205

9.066

1

0.108

-2.229

9.294

2

0.105

-2.254

9.524

3

0.103

-2.277

9.747

Obtain the average rate of decomposition of NO_2 in units of M/s for each interval.

What is the order of the reaction with respect to NO_2?

How long would it take for the concentration to decrease to .0900M?

Time(s)

[NO2]

Ln[NO2]

1/[NO2]

0

0.110

-2.205

9.066

1

0.108

-2.229

9.294

2

0.105

-2.254

9.524

3

0.103

-2.277

9.747

Explanation / Answer

2 NO2 (g) -----------------> 2 NO + O2

1)

average rate = change in concentration / change in time

                     = 0.110 - 0.108 / 1 - 0

                     = 0.002 M/s

average rate = 0.108 - 0.105 / 2-1

                     = 0.003 M/s

average rate = 0.105 - 0.103 / 3-2

                     = 0.002 M/s

2)

from the given data

the order is zero order .

the rate constant is = 2.3 x 10^-3 M/s

3)

t = (0.110 - 0.09) / k

   = (0.110 - 0.09) / 2.3 x 10^-3

   = 8.7 sec

time = 8.7 sec

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