16 Given the initial rate data for the reaction A B C dete

16. Given the initial rate data for the reaction A + B ? C, determine the rate law for the reaction.

[A], M [B], M Rate = ?[C]/?t M/s

0.0460 0.220 1.31 x10-4

0.0920 0.220 5.24 x 10-4

0.0460 0.440 1.31 x 10-4

Solution

rate = k [A]^x[B]^y

putting first two data in above expression,

1. 1.31 x10-4=k[0.0460]^x [0.220]^y

2. 5.24 x 10-4=k[0.0920]^x [0.220]^y

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dividing, 0.25 = [0.5]^x

=>1/4 = [1/2]^x=>x=2

similarly,

1. 1.31 x10-4=k[0.0460]^x [0.220]^y

3. 1.31 x 10-4=k[0.0460]^x [0.440]^y

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dividing, 1= [1/2]^y

y=0

So the expression for rate law,

Rate = k [A]^2[B]^0

Rate = k[A]^2................................(Ans)