Determine the rate equation from the following data for the reaction and find th

ID: 821850 • Letter: D

Question

Determine the rate equation from the following data for the reaction and find the value of k:

2A + 3B + C --------> P

Exp. # Initial Conc. A Initial Conc. B Initial Conc. C Initial Rate of Formation of P

1 1.0 x 10^-3 M 2.0 x 10^-3 M 4.0 x 10^-2 M 4 x 10^-3 M/min

2 2.0 x 10^-3 M 2.0 x 10^-3 M 4.0 x 10^-2 M 4 x 10^-3 M/min

3 3.0 x 10^-3 M 3.0 x 10^-3 M 4.0 x 10^-2 M 9 x 10^-3 M/min

4 4.0 x 10^-3 M 3.0 x 10^-3 M 2.0 x 10^-2 M 18 x 10^-3 M/min

if we compare exp1 & exp2

we can get that the order w.r.t A is 0

if we obseve the exp1 & exp3

rate 1= 4*10^-3= K[1*10^-3]^0[2*10^-3]^m[[4*10^-2]^n.......1

rate 2 =9*10^-3 = K[3*10^-3]^0[3*10^-3]^m[[4*10^-2]^n..........2

do 1/2

( 4/9) =(2/3)^m

(2/3)^2 = (2/3)^m

m =2

the order w.r.t B is 2

rate 1= 4*10^-3= K[1*10^-3]^0[2*10^-3]^2[[4*10^-2]^n.......1

rate 2 =18*10^-3 = K[4*10^-3]^0[3*10^-3]^2[[2*10^-2]^n..........3

do 3/4

(4/18) = (2/3)^2(4/2)^n

(0.5) = (2)^n

(2)^-1 =(2)^n

n = -1

the order w.r.t C is -1

total order = 0+2-1 = 1

rate = K1[A]^0 [B]^2 [C]^-1

K = 4*10^-3/[1*10^-3]^0[2*10^-3]^2[[4*10^-2]^-1

K = 4*10^-5 sec^-1

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