REACTION A + B + C ---> Products
Trial | [A](M) | [B](M) | [C](M) | Rate(M/s) |
---|---|---|---|---|
1 | 1.0 | 1.0 | 0.010 | 1.0E-4 |
2 | 1.0 | 2.0 | 0.010 | 4.0E-4 |
3 | 1.0 | 1.0 | 0.020 | 2.0E-4 |
4 | 2.0 | 1.0 | 0.010 | 2.0E-4 |
Using the data in the table and the rate law below, identify the reaction order with respect to each reactant.
Rate = k[A]m[B]n[C]p
(I need to find m=?, n=?, and p=?)
let the rate be r= K[A] a[ B]b [C]c , where a , b, and c are orders of reaction with respect to A, B and C. K is rate constant
from 1st data point, 1*10-4= K[1]a [1]b [ 0.01]c (1)
from 2nd data point , 4*10-4 =K[1]a[2]b[0.01]c (2) Eq.2/Eq.1 gvies 4= 2b, b= 2
from 3rd data point, 2*10-4= K[1]a [1]b[ 0.02]c (3), Eq.3/Eq.1 gives 2c= 2, c=1
from 4th data point, 2*10-4 = K[2]a [1]b[0.01]c (4), Eq.4/Eq.1 , 2a=2, a=1
from Eq.1, 1*10-4= K[ 1]1[1]2 [0.01]1, K= 0.01
the rate equation becomes r= 0.01[A] [B]2 [C]
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