The reactionA(g) --> B(g) + C(g)has the rate lawRate = K[A]If the initial concentration of A is 0.0600 M and the rate constant has a value of 0.0054 s 1, what is the concentration of A after 404.6 s?Your answer should be in scientific notation in this format: 10,000 = 1*10^4.

Answered: The reaction A(g) --> B(g) + C(g) has…

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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The reaction
A(g) --> B(g) + C(g)
has the rate law
Rate = K[A]
If the initial concentration of A is 0.0600 M and the rate constant has a value of 0.0054 s 1, what is the concentration of A after 404.6 s?
Your answer should be in scientific notation in this format: 10,000 = 1*10^4.

Expert Solution

Step 1: First-order reaction:

The rate of the first-order reaction depends only on one reactant. According to the first-order kinetics the rate constant of the first-order reaction is given by:

$straight k space equals space 1 over straight t space ln space fraction numerator straight a over denominator straight a minus straight x end fraction$

Where k = rate constant = 0.0054 s^-1

t = time = 404.6 s

a = initial concentration of the reactant = 0.0600 M

a-x = remaining concentration of the reactant after t time =?

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