For the reaction aA +bB +cC -----> dD + eE, the following data were obatined: In

ID: 841040 • Letter: F

Question

For the reaction aA +bB +cC -----> dD + eE, the following data were obatined:

Initial concentration (M)

[A] [B] [C] Initial rate

0.40 0.40 0.20 160

0.20 0.40 0.40 80

0.60 0.10 0.20 15

0.20 0.10 0.20 5.0

0.20 0.20 0.40 20.

0.20 0.20 0.20 20.

Determine the orders for each reactant, A, B, and C, and the rate constant.

let us assume the rate equation as

R = k A^m B^n C^p

for experiment 3 and 4

15 = k 0.6^m * 0.1^n * 0.2^p -----1

5 = k * 0.2^m * 0.1^n * 0.2^p ---------2

dividing equation 1 by 2

15/5 = (0.6/0.2)^m

3 = 3^m

m = 1

for experiment 5 and 6

20 = k * 0.2^m * 0.2^n * 0.4^p --------3

20 = k * 0.2^m * 0.2^n * 0.2^p ------4

dividing equation 3 by 4

20/20 = (0.4/0.2)^p

1 = 2^p

p = 0

for experiment 2

80 = k * 0.2^m * 0.4^n * 0.4^p -----5

dividing equaton 5 by 4

80/20 = (0.4/0.2)^n

4 = 2^n

n =2

then putting all this value of m n and p in equation 5

80 = k * 0.2^1 * 0.4^2 0.4^0

k = 2500

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