### Reaction Rate Analysis**Reaction: A + B → C**Below is the data table summarizing the concentrations of reactants A and B, and the initial rate of product formation, C. The rate of C formed is given in Molarity per hour (M/h).| [A] (M) | [B] (M) | Initial Rate (M/h) ||---------|---------|--------------------|| 0.200 | 0.221 | 122 || 0.893 | 0.221 | 230 || 0.200 | 0.409 | 858 |**Objective:**Determine the order of reaction with respect to reactant A. Round to the nearest whole number.**Analysis:**To determine the order of the reaction with respect to A, you should:1. Compare the change in the initial rate when the concentration of A is altered, keeping concentration of B constant.2. Utilize the rate law expression \( \text{Rate} = k [A]^m [B]^n \), where: - \( k \) is the rate constant - \( m \) and \( n \) are the orders of the reaction with respect to A and B, respectively**Steps:**1. From the table, identify experiments where the concentration of B is constant and only the concentration of A changes.2. Calculate the ratio of rates and the ratio of the concentrations of A for these experiments and determine the reaction order.For example, between the first and second experiments:\[ \frac{230}{122} \approx 1.89 \]\[ \frac{0.893}{0.200} \approx 4.465 \]Using the rate law expression:\[ \left( \frac{0.893}{0.200} \right)^m = \frac{230}{122} \]\[ (4.465)^m \approx 1.89 \]\[ m \approx \log_{4.465}(1.89) \]\[ m \approx 0.5 \]Round 0.5 to the nearest whole number to get the order of the reaction with respect to A.**Conclusion:**The order of the reaction with respect to A is approximately 0 (rounded to the nearest whole number).Please note this is an approximation and for precise calculations further

The speed describing how several reactant species get vanished and also product species get appeared…

Answered: A + B → C [A](M)[B](M)Initial Rate…

A + B → C [A](M)[B](M)Initial Rate (M/h) 0.200 0.221 122 0.893 0.221 230 0.200 0.409 858 Find the order with respect to A. Round to the nearest whole number.

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

### Reaction Rate Analysis

**Reaction: A + B → C**

Below is the data table summarizing the concentrations of reactants A and B, and the initial rate of product formation, C. The rate of C formed is given in Molarity per hour (M/h).

| [A] (M) | [B] (M) | Initial Rate (M/h) |
|---------|---------|--------------------|
| 0.200 | 0.221 | 122 |
| 0.893 | 0.221 | 230 |
| 0.200 | 0.409 | 858 |

**Objective:**
Determine the order of reaction with respect to reactant A. Round to the nearest whole number.

**Analysis:**
To determine the order of the reaction with respect to A, you should:
1. Compare the change in the initial rate when the concentration of A is altered, keeping concentration of B constant.
2. Utilize the rate law expression \( \text{Rate} = k [A]^m [B]^n \), where:
- \( k \) is the rate constant
- \( m \) and \( n \) are the orders of the reaction with respect to A and B, respectively

**Steps:**
1. From the table, identify experiments where the concentration of B is constant and only the concentration of A changes.
2. Calculate the ratio of rates and the ratio of the concentrations of A for these experiments and determine the reaction order.

For example, between the first and second experiments:
\[ \frac{230}{122} \approx 1.89 \]
\[ \frac{0.893}{0.200} \approx 4.465 \]

Using the rate law expression:
\[ \left( \frac{0.893}{0.200} \right)^m = \frac{230}{122} \]
\[ (4.465)^m \approx 1.89 \]
\[ m \approx \log_{4.465}(1.89) \]
\[ m \approx 0.5 \]

Round 0.5 to the nearest whole number to get the order of the reaction with respect to A.

**Conclusion:**
The order of the reaction with respect to A is approximately 0 (rounded to the nearest whole number).

Please note this is an approximation and for precise calculations further

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