The following are rate data for the reaction A + 3B AB3 Exp. [A] [B] rate (M•s)

ID: 1021093 • Letter: T

Question

The following are rate data for the reaction A + 3B AB3

Exp. [A] [B] rate (M•s)

1 0.50 0.25 0.00156

2 1.50 1.00 0.005625

3 0.75 0.25 0.00352

4 1.50 0.25 0.01406

5 0.50 1.00 0.00625

From this data, determine the following. Explain and show your work as to how you arrived at your answers.

a. The order with respect to A: ________________ order

b. The order with respect to B: ________________ order

c. The overall reaction order ________________ order

d. The rate constant (with unites) k = ________________

For the given data

let the rate equation be,

rate = k[A]^x.[B]^y

with x and y be order with respect to A and B, k is rate constant

(a) from Expt 1 and 3

rate 1/rate 3 = 0.00156/0.00352 = (0.5/0.75)^x

taking log on both sides,

x = 2

The order with respect to A = 2

(b) expt 1 and 5

rate 1/rate 5 = 0.00156/0.00625 = (0.25/1)^y

taking log on both sides,

y = 1

The order with respect to B = 1

c. The overall reaction order = 3

d. The rate constant k = 0.00156/(0.5)^2.(0.25) = 0.025 M^-2.s^-1

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