In a series of experiments summarised in the table below, the initial concentrations of reactants A and B are varied and the initial rate determined (concentrations are in units of M and the rates in M s -1). Select the correct rate law for the reaction.
Experiment |
Initial [A] |
Initial [B] |
Initial Rate |
1 |
0.15 |
0.12 |
0.10 |
2 |
0.15 |
0.24 |
0.40 |
3 |
0.45 |
0.24 |
0.40 |
A. |
R = k[B] |
|
B. |
R = k[A][B] |
|
C. |
R = k[B]2 |
|
D. |
R = k[A] |
|
E. |
R = k[A]2 |
|
F. |
R = k[A]2[B] |
|
G. |
R = k[A][B]2 |
Answer is C
In order to determine the correct rate law for the reaction, we need to find the equation for which the value of K satisfies for each experimental data.
Rate = k * Product of concentration
Therefore, K = Rate / (Product of concentration)
Try this for every rate law. Equation for which K is same in all 3 cases is the answer.
In case of Option C, R = k [B]^2
Therefore k = Rate/([B]^2)
1) k = 0.1/(0.12)^2 = 125/18
2) k = 0.4 / (0.24)^2 = 125/18
3) k = 0.4 / (0.24)^2 = 125/18
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