Question

# The following initial rate information was collected at 25oC for the following reaction: 2H2(g) + 2NO(g)...

The following initial rate information was collected at 25oC for the following reaction:

2H2(g) + 2NO(g) --> N2(g) + 2H2O(g)

 H2]0 (M) [NO]0 (M) Initial Rate (M/min) 0.0010 0.0020 1.2 x 10-4 0.0010 0.0030 1.8 x 10-4 0.0020 0.0020 4.8 x 10-4

Determine the overall order of the reaction and present you answer in numeric form (i.e. 0, 1, 2 etc).

Given reaction is A + B -----------> C + D

rate = k [A]m [B]n    k = rate constant

From trial 1,

1.2 x 10-4 = k [0.001]m [0.002]n ------- Eq (1)

From trial 2,

1.8 x 10-4 = k [0.001]m [0.003]n --------Eq (2)

From trial 3,

4.8 x 10-4 = k [0.002]m [0.002]n --------Eq (3)

Do Eq(2)/Eq(1),

(1.8 x 10-4 /1.2 x 10-4 ) = (k/k) (0.001/0.001)m (0.003/0.002)n

1.5 = 1m x 1.5n

1.5 = 1 x 1.5n

Therefore, n =1

Do Eq(3)/Eq(1),

(4.8 x 10-4 /1.2 x 10-4 ) = (k/k) (0.002/0.001)m (0.002/0.002)n

4 = 2m x 1n

Substitute n=1,

4 = 2m x 1

4 = 2m

22 = 2m

2= m

m = 2

Therefore, m= 2, n= 1

Then,

overall order of the reaction = m + n = 2 +1 = 3

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