A reactant decomposes with a half-life of 14.9 s when its initial concentration is 0.184 M. When the initial concentration is 0.960 M, this same reactant decomposes with a half-life of 77.7 s. What is the order of the reaction? 0 1 2 What is the value and unit of the rate constant for this reaction? k = Unit:

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
**Problem Statement:**

A reactant decomposes with a half-life of 14.9 s when its initial concentration is 0.184 M. When the initial concentration is 0.960 M, this same reactant decomposes with a half-life of 77.7 s.

**Questions:**

1. What is the order of the reaction?

   - 0
   - 1
   - 2

2. What is the value and unit of the rate constant for this reaction?

   - \( k = \) [Text Box for Input]
   - Unit: [Dropdown for Unit Selection]

**Explanation:**

This exercise involves determining the reaction order and rate constant based on provided half-life and concentration data. The change in half-life with changing concentration suggests the reaction order. By comparing the half-lives at different concentrations, the order affecting the decomposition rate can be determined, leading to calculations for the rate constant \( k \).
Transcribed Image Text:**Problem Statement:** A reactant decomposes with a half-life of 14.9 s when its initial concentration is 0.184 M. When the initial concentration is 0.960 M, this same reactant decomposes with a half-life of 77.7 s. **Questions:** 1. What is the order of the reaction? - 0 - 1 - 2 2. What is the value and unit of the rate constant for this reaction? - \( k = \) [Text Box for Input] - Unit: [Dropdown for Unit Selection] **Explanation:** This exercise involves determining the reaction order and rate constant based on provided half-life and concentration data. The change in half-life with changing concentration suggests the reaction order. By comparing the half-lives at different concentrations, the order affecting the decomposition rate can be determined, leading to calculations for the rate constant \( k \).
Expert Solution
Step 1

We have to find order of reaction  .

Given initial  concentrations

And half lifes .

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Rate Laws
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
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