### Calculating the Rate Constant for a First-Order ReactionTo determine the rate constant for a first-order reaction from a graph, you can use the following methodology:#### Instructions1. **Graph Plotting**: - Plot the natural logarithm of the concentration of reactant \([A]\) against time \(t\). - The y-axis will represent \(\ln [A]\), and the x-axis will represent time \(t\).2. **Graph Analysis**: - The graph of \(\ln [A]\) versus time will yield a straight line if the reaction is first-order.#### Matching Concepts to Graph Analysis**Fill-in-the-Blank Question:**- **Sentence**: "On the graph of \(\ln[\text{A}]\) versus time, the rate constant, \_\_\_\_, is the \_\_\_\_ of the straight line."**Options to Fill in the Blanks**: - positive slope - negative slope - y-intercept - \(t\) - \(A\) - \(\ln[A]_t\) - \(k\)**Correct Answers**: - First Blank: \(k\) - Second Blank: negative slope**Completed Sentence**: "On the graph of \(\ln[\text{A}]\) versus time, the rate constant, \(k\), is the negative slope of the straight line."#### Practical Example:Consider you have graph data where:- The y-axis (vertical) shows \(\ln [A]\).- The x-axis (horizontal) shows time \(t\).Plot the data points, draw the best-fit straight line through these points, and determine the slope of the line. The negative of this slope equals the rate constant \(k\) for the first-order reaction.#### ConclusionUnderstanding how to extract the rate constant from a graphical analysis is crucial in chemical kinetics. This method allows for an accurate determination of reaction rates and understanding of reaction mechanisms.

First order reaction is: If thr graph us plotted between time and ln[A] then the slope of the…

Match the words in the left column to the appropriate blanks in the sentence on the right. Reset He positive slope On the graph of In[A] versus time, the rate constant, is the of the straight line. y-Intercept A negative slope In[A]:

Match the words in the left column to the appropriate blanks in the sentence on the right. Reset He positive slope On the graph of In[A] versus time, the rate constant, is the of the straight line. y-Intercept A negative slope In[A]:

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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