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:

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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**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 .

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