Derive the rate equation.

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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**Derive the rate equation.**

- ○ Rate = \( k[\text{CO}]^2[\text{NO}_2]^2 \)
- ○ Rate = \( k \)
- ○ Rate = \( k[\text{CO}][\text{NO}_2] \)
- ○ Rate = \( k[\text{CO}][\text{NO}_2]^2 \)

In this multiple-choice question, students are asked to derive the correct rate equation from the given options. Each option presents a different mathematical expression for the rate of a chemical reaction involving carbon monoxide (CO) and nitrogen dioxide (NO\(_2\)). The \( k \) symbol represents the rate constant, while the terms in brackets represent the concentrations of the reactants. The exponents denote the order of the reaction with respect to each reactant.
Transcribed Image Text:**Derive the rate equation.** - ○ Rate = \( k[\text{CO}]^2[\text{NO}_2]^2 \) - ○ Rate = \( k \) - ○ Rate = \( k[\text{CO}][\text{NO}_2] \) - ○ Rate = \( k[\text{CO}][\text{NO}_2]^2 \) In this multiple-choice question, students are asked to derive the correct rate equation from the given options. Each option presents a different mathematical expression for the rate of a chemical reaction involving carbon monoxide (CO) and nitrogen dioxide (NO\(_2\)). The \( k \) symbol represents the rate constant, while the terms in brackets represent the concentrations of the reactants. The exponents denote the order of the reaction with respect to each reactant.
### Reaction Rate Data Analysis

This table presents data collected at a temperature of 540 K for the chemical reaction:

\[ \text{CO(g) + NO}_2\text{(g) → CO}_2\text{(g) + NO(g)} \]

#### Table Overview

The table is divided into two main columns:

1. **Initial Concentration (mol/L)**
   - \([ \text{CO} ]\): Represents the initial concentration of carbon monoxide.
   - \([ \text{NO}_2 ]\): Represents the initial concentration of nitrogen dioxide.

2. **Initial Rate (mol/L·h)**
   - Indicates the rate of the reaction at the given initial concentrations.

#### Detailed Data

| \([ \text{CO} ]\) (mol/L) | \([ \text{NO}_2 ]\) (mol/L) | Initial Rate (mol/L·h) |
|-----------------------|-----------------------|---------------------------|
| \(5.1 \times 10^{-4}\) | \(0.35 \times 10^{-4}\)      | \(5.0 \times 10^{-8}\)   |
| \(5.1 \times 10^{-4}\) | \(0.70 \times 10^{-4}\)      | \(1.0 \times 10^{-7}\)   |
| \(5.1 \times 10^{-4}\) | \(0.18 \times 10^{-4}\)      | \(2.6 \times 10^{-8}\)   |
| \(1.0 \times 10^{-3}\) | \(0.35 \times 10^{-4}\)      | \(9.8 \times 10^{-8}\)   |
| \(1.5 \times 10^{-3}\) | \(0.35 \times 10^{-4}\)      | \(1.5 \times 10^{-7}\)   |

This data can be used to analyze how changes in the concentrations of reactants affect the initial rate of the reaction.
Transcribed Image Text:### Reaction Rate Data Analysis This table presents data collected at a temperature of 540 K for the chemical reaction: \[ \text{CO(g) + NO}_2\text{(g) → CO}_2\text{(g) + NO(g)} \] #### Table Overview The table is divided into two main columns: 1. **Initial Concentration (mol/L)** - \([ \text{CO} ]\): Represents the initial concentration of carbon monoxide. - \([ \text{NO}_2 ]\): Represents the initial concentration of nitrogen dioxide. 2. **Initial Rate (mol/L·h)** - Indicates the rate of the reaction at the given initial concentrations. #### Detailed Data | \([ \text{CO} ]\) (mol/L) | \([ \text{NO}_2 ]\) (mol/L) | Initial Rate (mol/L·h) | |-----------------------|-----------------------|---------------------------| | \(5.1 \times 10^{-4}\) | \(0.35 \times 10^{-4}\) | \(5.0 \times 10^{-8}\) | | \(5.1 \times 10^{-4}\) | \(0.70 \times 10^{-4}\) | \(1.0 \times 10^{-7}\) | | \(5.1 \times 10^{-4}\) | \(0.18 \times 10^{-4}\) | \(2.6 \times 10^{-8}\) | | \(1.0 \times 10^{-3}\) | \(0.35 \times 10^{-4}\) | \(9.8 \times 10^{-8}\) | | \(1.5 \times 10^{-3}\) | \(0.35 \times 10^{-4}\) | \(1.5 \times 10^{-7}\) | This data can be used to analyze how changes in the concentrations of reactants affect the initial rate of the reaction.
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