Question

# For the reaction A+B+C→D+E, the initial reaction rate was measured for various initial concentrations of reactants....

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