For the reaction A+B+C→D+E, the initial reaction rate was measured for various initial concentrations of reactants. The following data were collected:
Given the data calculated in Parts A, B, C, and D, determine the initial rate for a reaction that starts with 0.45 M of reagent A and 0.90 M of reagents B and C?
| Trial | [A] (M) |
[B] (M) |
[C] (M) |
Initial rate (M/s) |
| 1 | 0.50 | 0.50 | 0.50 | 1.5×10−4 |
| 2 | 0.50 | 0.50 | 1.50 | 4.5×10−4 |
| 3 | 1.00 | 0.50 | 0.50 | 6.0×10−4 |
| 4 | 1.00 | 1.00 | 0.50 | 6.0×10−4 |
rate= k [A]x [B]y [C]z
from data table
1.5 x 10^-4 =k [0.5]x [0.5]y [0.5]z ------------->(1)
4.5 x 10^-4 =k [0.5 ]x [1.50]y [1.50]z ------------->(2)
6.0 x 10^-4 =k [1.00]x [0.5]y [0.5]z ------------->(3)
6 x 10^-4 =k [1]x [1]y [0.5]z ------------->(4)
by solving 1 and 2
z = 1
by solving 1 and 3
x = 2
by solving 1 and 4
y = 0
rate= k [A]2 [B]0 [C]1
from (1)
1.5 x 10^-4 =k [0.5]2 [0.5]0 [0.5]1------------>(1)
k = 1.2 x 10^-3 M-2 s-1
0.45 M of reagent A and 0.90 M of reagents B and C?
initial rate = 1.2 x 10^-3 x ( 0.45 )^2 x 0.90
initial rate = 2.19 x 10^- 4 M /s
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