In: Chemistry
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?
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