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What is the numerical value of the rate constant?

What is the numerical value of the rate constant?

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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A general reaction written as A+ 20 C+2D is studied and yiclds the followig (Alo (B]o Initial A[CVA O.150 M 0.150 M 8.00 x 10 mol/L's 0.150 M 0.300 M 1.60 x 102 mol/L's 0.300 M 0.150 M 3.20 x 102 mol/L-s What is the numerical value of the rate constant? Edit Format Table BIUA e Tv Paragraph v 12pt v
Transcribed Image Text:A general reaction written as A+ 20 C+2D is studied and yiclds the followig (Alo (B]o Initial A[CVA O.150 M 0.150 M 8.00 x 10 mol/L's 0.150 M 0.300 M 1.60 x 102 mol/L's 0.300 M 0.150 M 3.20 x 102 mol/L-s What is the numerical value of the rate constant? Edit Format Table BIUA e Tv Paragraph v 12pt v
Expert Solution
Step 1

Let the order of reaction are a and b with respect to A and B respectively. 

r = k[A]^a[B]^b ....(1)

According to the question,

2r = k[A]^a[2B]^b....(2)

and 

4r = k[2A]^a[B]^b ....(3)

3/1, we have 2^2 = 2^a or, a = 2 

2/1, we have 2^1 = 2^b or, b = 1. 

So, rate law : r = k[A]^2[B]^1

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