2ClO_2(g) + F_2(g) rightarrow 2CIO_2F(g) The following results were obtained whe

Question

2ClO_2(g) + F_2(g) rightarrow 2CIO_2F(g) The following results were obtained when the reaction represented above was studied at 25 degree C Write the rate law expression for the reaction above. Calculate the numerical value of the rate constant and specify the units. In experiment 2, what is the initial rate of disappearance of [F_2]? Which of the following reaction mechanisms is consistent with the rate law developed in (a). CIO_2 + F_2 CIO_2F_2 (fast) CIO_2F_2 rightarrow CIO_2F + F (slow) CIO_2 + F rightarrow CIO_2 F (fast) F_2 rightarrow 2 F (slow) 2 (CIO_2 + F rightarrow CIO_2F) (fat) 2 NO(g) + 2 H_2(g) rightarrow N_2 (g) + 2 H_2O(g) Experiments were conducted to study the rate of the reaction represented by the

Explanation / Answer

Let the rate r= K [ClO2]m [F2]n

For experiment 1

2.4*10-3= K[ 0.010]m [0.1]n   (1)

For experiment 2

9.6*10-3= K[ 0.010]m [0.4]n (2)

Eq.2/ Eq.1 gives 4= (4)n   n =1

From experiment   1   2.4*10-3= K[ 0.010]m [0.1]n1 (1A)

For experiment 3

9.6*10-3= K[ 0.020]m [0.2]1 (3)

Eq.3/ Eq.1A , 4= 2m m= 2

The rate law becomes –r= K [ ClO2]2 [F2]1

from experiment 1A

2.4*10-3= K[ 0.010]2 [0.1]1 (1A)

K= 240 /M.sec

From the equation

-rF2/1= rCl2O2/2

-rF2= 9.6*10-3/2 =4.8*10-3 M/sec

The second mechanism gives

Rate r= K[ClO2]2 [F2]

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