Answer to Question #208164 in General Chemistry for mel

Question

using the data in the table, determine the rate constant of the reaction and select the appropriate units.

A+2B -----> C+D

Table:

Trail / [A] (M) / [B] (M) / Rate (M/s)

1 / 0.220 / 0.370 / 0.0169

2 / 0.220 / 0.740 / 0.0169

3 / 0.440 / 0.370 / 0.0676

k=

Units=

Find k and units.

Answer 1

Rate law V = K{A}^a{B}^b

V1/V2 = {A1/A2}^a {B1/B2}^b

Substituting trial 1 and trial 2 data in the equation above

0.0169/0.0169 = {0.22/0.22}^a {0.74/0.37}^b

1 = (1)^a (2)^b

2⁰ = 2^b since 1^a = 1

b = 0

Similarly for trial 1 and 3

0.0676/0.0169 = (0.440/0.220)^a (0.370/0.370)^b

4 = (2)^a (1)^b

1⁰ = (1)^b since (2)^a = 2²

a = 2

V = K(A)²

Using trial data 1

0.0169 = K × (0.220)²

K = 0.0169/0.0484

K = 0.349M^-1 S^-1