In: Chemistry
Consider the basecatalyzedreaction OCl (aq) + I (aq) → OH (aq) + Cl (aq) Determine the rate law and the rate constant, using the following initial rate data. (Hint: basecatalyzedindicates that OH affects the rate despite appearing as a product.)
[OCl-] | 1.62e-3 | 1.62e-3 | .00271 | .00162 |
[I-] | 1.62e-3 | 2.88e-3 | .00162 | .0028 |
[OH-] | .52 | .52 | .84 | .91 |
initil rate m/s | .000306 | .00054 | .000316 | .000311 |
Solution:
Rate law:
Since given given reaction is base catalyzed and concentration of OH- also affects the overall rate.
so we write rate equation :
Rate = k [OCl-]l [I- ]m [ OH-]n
Here k is rate constant , l , m and n are the orders with respect to OCl- , I- , and OH- respectively.
We use given experimental data to find the orders.
Lets number of the experiment.
Lets compare experiment 1 and 2 and use ratio of rate law.
Lets take ln of both side
Now ration of rate 4 and rate 2
Lets find value of n
n = -1
Lets find value of l
We use rate 3 and rate 1
l = 1
Hence the rate law
Rate = k [OCl-] [I- ] [ OH-]-1
Calculation of rate constant:
Lets use rate 1 to get rate constant
k = 60.631