### Determining the Rate Law and Rate Constant for a ReactionThe following table shows some measurements of the initial rate of a certain reaction:| \([N_2]\) (M) | \([H_2]\) (M) | Initial Rate of Reaction (M/s) ||---------------|---------------|-------------------------------|| 2.38 M | 1.39 M | 0.140 M/s || 10.8 M | 1.39 M | 2.88 M/s || 2.38 M | 0.584 M | 0.0588 M/s |Using the provided data, one can determine the rate law for this reaction and calculate the value of the rate constant \( k \).### Steps to Solve:1. **Write the Rate Law Expression:** The general form of the rate law is: \[ \text{rate} = k [N_2]^m [H_2]^n \] where \( k \) is the rate constant, and \( m \) and \( n \) are the orders of the reaction with respect to nitrogen and hydrogen, respectively.2. **Determine the Reaction Orders \( m \) and \( n \):** - Compare Experiment 1 and Experiment 2 to determine \( m \): \[ \frac{\text{rate}_2}{\text{rate}_1} = \frac{k [N_2]_2^m [H_2]_2^n}{k [N_2]_1^m [H_2]_1^n} = \frac{2.88}{0.140} \] \[ \frac{[N_2]_2}{[N_2]_1}^m = \frac{10.8}{2.38}^m = 20.57 (simplified) \] Solving for \( m \), the change in nitrogen concentration leads to a corresponding change in the rate, so: \[ m = 2 \] - Compare Experiment 1 and Experiment 3 to determine \( n \): \[ \frac{\text{rate}_3}{\text{rate}_1} = \frac{k [N_2]_3^m [H_2]_3^n

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Some measurements of the initial rate of a certain reaction are given in the table below. [N₂] [H₂] initial rate of reaction 2.38M 1.39 M 0.140 M/s 10.8M 1.39 M 2.88 M/s 2.38M 0.584 M 0.0588 M/s Use this information to write a rate law for this reaction, and calculate the value of the rate constant k. Round your value for the rate constant to 3 significant digits. Also be sure your answer has the correct unit sym

Some measurements of the initial rate of a certain reaction are given in the table below. [N₂] [H₂] initial rate of reaction 2.38M 1.39 M 0.140 M/s 10.8M 1.39 M 2.88 M/s 2.38M 0.584 M 0.0588 M/s Use this information to write a rate law for this reaction, and calculate the value of the rate constant k. Round your value for the rate constant to 3 significant digits. Also be sure your answer has the correct unit sym

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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