J.R. S. answered 01/22/21
Ph.D. University Professor with 10+ years Tutoring Experience
a) rate = k[CO]n[Cl2]m
b) Compare the first 2 lines where [CO] doubles and [Cl2] remains constant. The rate increases 4x. This tells us that the reaction is SECOND ORDER in CO. Compare line 1 and 3. The [CO] increases 3 fold and the [Cl2] increases 1.25 times. Based on the reaction being 2nd order in CO, we'd expect the rate to increase 9 fold. The rate actually increases 11.25 fold (0.07425 / 0.00660). Therefore we can find the order with respect to Cl2 as ...
(3)2(1.25)m = 11.25
m= 1 so FIRST ORDER in Cl2
The reaction is THIRD ORDER OVERALL
c) To find the rate constant k, choose any line from the table and plug in the values and solve for k
Using line 1 we have
6.60x10-3 M/s = k (0.150 M)2(0.100 M)
6.60x10-3 M/s = k (0.00225 M3)
k = 6.60x10-3 Ms-1 / 2.25x10-3 M3
k = 2.93 M-2s-1
This was actually a fun problem. I hope that I explained it well enough that you understand the process and that you can do it yourself the next time.