What is the rate at which Br"(aq) disappears in the reaction below if the rate of disappearance of BrO3"(aq) is 0.020 M/ s? BrOg + 5 Br" + 6 H* → 3 Br, + 3H;0
What is the rate at which Br"(aq) disappears in the reaction below if the rate of disappearance of BrO3"(aq) is 0.020 M/ s? BrOg + 5 Br" + 6 H* → 3 Br, + 3H;0
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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![### Question 9 of 36
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#### Problem Statement:
**What is the rate at which Br<sup>-</sup>(aq) disappears in the reaction below if the rate of disappearance of BrO<sub>3</sub><sup>-</sup>(aq) is 0.020 M/s?**
The chemical reaction is as follows:
BrO<sub>3</sub><sup>-</sup> + 5 Br<sup>-</sup> + 6 H<sup>+</sup> → 3 Br<sub>2</sub> + 3 H<sub>2</sub>O
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This problem involves understanding and applying the concept of reaction rates in chemistry, specifically in a balanced chemical equation.
- **Given Data:**
- The rate of disappearance of BrO<sub>3</sub><sup>-</sup>(aq) = 0.020 M/s
- **Objective:**
- To determine the rate at which Br<sup>-</sup>(aq) is disappearing.
**Solution:**
The rate of reaction can be related to the change in concentration of each reactant and product over time using the stoichiometric coefficients from the balanced equation.
From the balanced equation:
\[ BrO_3^- + 5 Br^- + 6 H^+ \rightarrow 3 Br_2 + 3 H_2O \]
For a general reaction of the form:
\[ aA + bB \rightarrow cC + dD \]
The rates are related by:
\[ \frac{-1}{a}\frac{d[A]}{dt} = \frac{-1}{b}\frac{d[B]}{dt} = \frac{1}{c}\frac{d[C]}{dt} = \frac{1}{d}\frac{d[D]}{dt} \]
Applying this to the given reaction:
\[ \frac{-d[BrO_3^-]}{dt} = \frac{1}{1} \]
\[ \frac{-d[Br^-]}{dt} = \frac{1}{5} \]
Therefore, the rate of disappearance of Br<sub>2</sub><sup>-</sup> relates to the rate of disappearance of BrO<sub>3</sub><sup>-</sup> as follows:
\[ \frac{-d[Br^-]}{dt} = 5 \times \frac{-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F17050110-9897-4bd6-b477-110f723d877a%2Fe44ecab2-d1bc-47bf-bf9c-9343a26dbb9a%2Fpavn4qo_processed.png&w=3840&q=75)
Transcribed Image Text:### Question 9 of 36
---
#### Problem Statement:
**What is the rate at which Br<sup>-</sup>(aq) disappears in the reaction below if the rate of disappearance of BrO<sub>3</sub><sup>-</sup>(aq) is 0.020 M/s?**
The chemical reaction is as follows:
BrO<sub>3</sub><sup>-</sup> + 5 Br<sup>-</sup> + 6 H<sup>+</sup> → 3 Br<sub>2</sub> + 3 H<sub>2</sub>O
---
This problem involves understanding and applying the concept of reaction rates in chemistry, specifically in a balanced chemical equation.
- **Given Data:**
- The rate of disappearance of BrO<sub>3</sub><sup>-</sup>(aq) = 0.020 M/s
- **Objective:**
- To determine the rate at which Br<sup>-</sup>(aq) is disappearing.
**Solution:**
The rate of reaction can be related to the change in concentration of each reactant and product over time using the stoichiometric coefficients from the balanced equation.
From the balanced equation:
\[ BrO_3^- + 5 Br^- + 6 H^+ \rightarrow 3 Br_2 + 3 H_2O \]
For a general reaction of the form:
\[ aA + bB \rightarrow cC + dD \]
The rates are related by:
\[ \frac{-1}{a}\frac{d[A]}{dt} = \frac{-1}{b}\frac{d[B]}{dt} = \frac{1}{c}\frac{d[C]}{dt} = \frac{1}{d}\frac{d[D]}{dt} \]
Applying this to the given reaction:
\[ \frac{-d[BrO_3^-]}{dt} = \frac{1}{1} \]
\[ \frac{-d[Br^-]}{dt} = \frac{1}{5} \]
Therefore, the rate of disappearance of Br<sub>2</sub><sup>-</sup> relates to the rate of disappearance of BrO<sub>3</sub><sup>-</sup> as follows:
\[ \frac{-d[Br^-]}{dt} = 5 \times \frac{-
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