### General Chemistry 4th Edition ### McQuarrie • Rock • Gallogly ### University Science Books presented by Macmillan Learning---### Reaction AnalysisThe reaction:\[ \text{C}_4\text{H}_8 (g) \longrightarrow 2\text{C}_2\text{H}_4 (g) \]is characterized by an activation energy of 262 kJ/mol. At a temperature of 600.0 K, the rate constant, \( k \), is \( 6.1 \times 10^{-8} \, \text{s}^{-1} \). The question posed is to determine the value of the rate constant at 750.0 K.A student attempted to solve the problem and submitted the following answer for the rate constant (\( k \)):\[ k = 1.34 \times 10^3 \, \text{s}^{-1} \]However, this answer is marked as incorrect.---To solve this problem correctly, one could use the Arrhenius equation:\[ k = A e^{-\frac{E_a}{RT}} \]where:- \( k \) is the rate constant,- \( A \) is the pre-exponential factor or frequency factor,- \( E_a \) is the activation energy,- \( R \) is the universal gas constant (8.314 J/mol·K),- \( T \) is the temperature in Kelvin.By substituting the given values of activation energy (\( E_a = 262 \, \text{kJ/mol} \)), and the temperatures (initial \( T_1 = 600.0 \, \text{K} \) and final \( T_2 = 750.0 \, \text{K} \)), we can apply the two-point form of Arrhenius equation:\[ \ln \left(\frac{k_2}{k_1}\right) = \frac{E_a}{R} \left(\frac{1}{T_1} - \frac{1}{T_2}\right) \]Given:- \( k_1 = 6.1 \times 10^{-8} \, \text{s}^{-1} \)- \( E_a = 262 \, \text{kJ/mol} = 262000 \, \text{J/mol} \)After solving for

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The reaction C,H;(g) → 2 C,H, (g) has an activation energy of 262 kJ/mol. At 600.0 K, the rate constant, k, is 6.1 × 10-8 s-1. What is the value of the rate constant at 750.0 K? k = 1.34 х103 s-1 Incorrect

The reaction C,H;(g) → 2 C,H, (g) has an activation energy of 262 kJ/mol. At 600.0 K, the rate constant, k, is 6.1 × 10-8 s-1. What is the value of the rate constant at 750.0 K? k = 1.34 х103 s-1 Incorrect

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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