A general reaction written as A+ 20 C+2D is studied and yiclds the followig(Alo(B]oInitial A[CVAO.150 M0.150 M8.00 x 10 mol/L's0.150 M0.300 M1.60 x 102 mol/L's0.300 M0.150 M3.20 x 102 mol/L-sWhat is the numerical value of the rate constant?Edit Format TableBIUA e TvParagraph v12pt v

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What is the numerical value of the rate constant?

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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Question

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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