a (UM) 150 142.7 10 135.4 15 128.1 20 120.8 25 113.5 30 106.2 What is the rate constant, k? t (min) ons 0 5

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...
icon
Related questions
Question

How do you determine the rate constant, k for a unimolecular, irreversible, zero-order chemical reaction.

### Data Table of Concentration Over Time

The table below shows the concentration of a substance, denoted as 'a', in micromolar (uM) at various time intervals 't' measured in minutes:

| t (min) | a (uM) |
|---------|--------|
| 0       | 150    |
| 5       | 142.7  |
| 10      | 135.4  |
| 15      | 128.1  |
| 20      | 120.8  |
| 25      | 113.5  |
| 30      | 106.2  |

**Question:** What is the rate constant, k?

### Explanation

This table provides data for determining the rate of a reaction over a 30-minute period. The concentration of the substance decreases over time, indicating a possible first-order reaction. Calculating the rate constant, \( k \), requires using the integrated rate law for first-order reactions:

\[ \ln \left( \frac{[A]_0}{[A]} \right) = kt \]

Where:
- \([A]_0\) is the initial concentration
- \([A]\) is the concentration at time \( t \)
- \( k \) is the rate constant

This table will help in plotting \(\ln(a)\) versus time to determine \( k \) or using a spreadsheet for calculations directly.
Transcribed Image Text:### Data Table of Concentration Over Time The table below shows the concentration of a substance, denoted as 'a', in micromolar (uM) at various time intervals 't' measured in minutes: | t (min) | a (uM) | |---------|--------| | 0 | 150 | | 5 | 142.7 | | 10 | 135.4 | | 15 | 128.1 | | 20 | 120.8 | | 25 | 113.5 | | 30 | 106.2 | **Question:** What is the rate constant, k? ### Explanation This table provides data for determining the rate of a reaction over a 30-minute period. The concentration of the substance decreases over time, indicating a possible first-order reaction. Calculating the rate constant, \( k \), requires using the integrated rate law for first-order reactions: \[ \ln \left( \frac{[A]_0}{[A]} \right) = kt \] Where: - \([A]_0\) is the initial concentration - \([A]\) is the concentration at time \( t \) - \( k \) is the rate constant This table will help in plotting \(\ln(a)\) versus time to determine \( k \) or using a spreadsheet for calculations directly.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Theories of Reaction Rates
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY