Please help!!!!!

Question

Determine the rate law and the value of the rate constant (k) from the data given below. Include units on the rate constant.  

Experiment	[A] (M)	[B] (M)	Initial rate (M/s)
1	0.50	0.60	2.0 x 10-3
2	1.00	0.60	4.0 x 10-3
3	0.50	1.80	6.0 x 10-3

Answer 1

First, let's find the order of the reaction with respect to A and B:

Comparing Expt. 1 and 2 where [A] doubles and [B] remains the same, the rate doubles. This tells us that the reaction is FIRST ORDER WITH RESPECT TO A

Comparing Expt. 1 and 3 where [B] triples and [A] remains the same, the rate triples. This tells us that the reaction is FIRST ORDER WITH RESPECT TO B

We can now write the rate law as...

rate = k[A][B]

From the rate law and using any one of the experiments, we can find the value of k as follows:

using experiment 1, rate = 2.0x10^-3 M/s and we know that rate = [A][B], so...

2.0x10^-3 M/s = k[0.50 M][0.60 M]

k = 2.0x10^-3 M/s / [0.50 M][0.60 M]

k = 6.67x10^-3 M^-1s^-1