Question
For the reaction A + B + C → products, the following initial-rate data were obtained....
For the reaction A + B + C → products, the following initial-rate data were obtained.
|
[A]0 (mol/L) |
[B]0 (mol/L) |
[C]0 (mol/L) |
Initial Rate (mol/(L · s)) |
|
0.40 |
0.40 |
0.20 |
0.0160 |
|
0.20 |
0.40 |
0.40 |
0.0080 |
|
0.60 |
0.10 |
0.20 |
0.0015 |
|
0.20 |
0.10 |
0.20 |
0.0005 |
|
0.20 |
0.20 |
0.40 |
0.0020 |
What are the reaction orders with respect to A, B, and C, respectively?
| A. |
0, 2, 1 |
|
| B. |
1, 1, 1 |
|
| C. |
1, 2, 0 |
|
| D. |
1, 2, 1 |
|
| E. |
0, 1, 1 |
Homework Answers
Answer #1
Essentially:
r1 r2 |
= | k [A]1a
[B]1b k [A]2a [B]2b |
then
with respect to A
0.0015/0.0005 = (0.60)^a / (0.2)^a * (1)
3 = (0.6/0.2)^a
3 = 3^a
a = 1
for B
0.0005/0.0020= (0.1)^b / (0.2)^b * (1)
0.25 = (0.1/0.2)^b
1/4 = (1/2 ) ^b
b = 2
for C
0.0015/0.0005 = (0.60)^a / (0.2)^a * (1)
Experiment does not include C in initial rates so
0.016/0.008 = (0.2/0.4)^c * (0.4/0.2)^1
0.016/0.008 * (0.2/0.4) = (0.2/0.4)^c
1 = 0.5^c
no correlation so choose 0
orders = 1, 2, 0
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