The following data were obtained for the reaction A B tria

The following data were obtained for the reaction A + B + trial #1 #2 #3 #4 #5 #6 6. products: nitial IA l initial B 1.00 x 1 1.00 x 10 1.00 x 103 2.00 x 10 3.00 x 103 4.00 x 10 0.25 x 10 0.50 x 1 1.00 x 1 1.00 x 1 1.00 x 10 rate 0.26 x 109 0.52 x 10 1.04 x 109 4.16 x 1 9.36 x 10 1.00 x 10 (a) Write the rate law for the reaction. Answer: (b) What is the overall order of the reaction? Answer: (c) Determine the value of the rate constant, k. Hint: Use your rate law from (a) and appropriate data.] Answer: (d) Use the data to predict the reaction rate for experiment 6 Answer:

Solution

a)
see experiment 3 and 4:
[A] doubles
[B] is constant
rate becomes 4 times
so, order of A is 2

see experiment 1 and 2:
[A] is constant
[B] doubles
rate doubles
so, order of B is 1

Rate law is:
rate = k*[A]^2*[B]

b)
overall order = 2 + 1 = 3

c)
Put values from 1st row of table in rate law
rate = k*[A]^2*[B]
2.6*10^-10 = k*(1.00*10^-3)^2*(2.5*10^-4)^1
k = 1.04 M-2.s-1

d)
Put values from 6th row of table in rate law
rate = k*[A]^2*[B]
rate =1.04*(4.00*10^-3)^2 * (1.00*10^-3)
rate = 1.66*10^-8 M/s
Answer: 1.66*10^-8 M/s