### Rate Constant of a ReactionThe rate constant of a certain reaction is known to obey the Arrhenius equation and to have an activation energy \(E_a = 69.0 \, \text{kJ/mol}\). If the rate constant of this reaction is \(5.7 \times 10^2 \, \text{M}^{-1} \cdot \text{s}^{-1}\) at \(304.0 \, ^\circ\text{C}\), what will the rate constant be at \(256.0 \, ^\circ\text{C}\)?**Round your answer to 2 significant digits.**The Arrhenius equation is given by:\[ k = A \cdot e^{\frac{-E_a}{RT}} \]Where:- \( k \) is the rate constant.- \( A \) is the pre-exponential factor.- \( E_a \) is the activation energy.- \( R \) is the universal gas constant (\(R \approx 8.314 \, \text{J/mol} \cdot \text{K}\)).- \( T \) is the temperature in Kelvin (K).To find the rate constant at a different temperature, you can use the modified 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:- \( k_1 = 5.7 \times 10^2 \, \text{M}^{-1} \cdot \text{s}^{-1} \)- \( T_1 = 304.0 \, ^\circ\text{C} = 577.15 \, \text{K} \)- \( T_2 = 256.0 \, ^\circ\text{C} = 529.15 \, \text{K} \)- \( E_a = 69.0 \, \text{kJ/mol} = 69000 \, \text{J/mol} \)### Solution Steps:1. Convert temperatures to Kelvin: - \( T_1 = 304.0 + 273.15 = 577.15 \, \text{K} \) - \(

Calculating the rate constant at two different temperatures using the Arrhenius equation is:…

The rate constant of a certain reaction is known to obey the Arrhenius equation, and to have an activation energy E¸=69.0 kJ/mol. If the -1 rate constant of this reaction is 5.7 × 10² M ''s -1 at 304.0 °C, what will the rate constant be at 256.0 °C? Round your answer to 2 significant digits. -1 k =

The rate constant of a certain reaction is known to obey the Arrhenius equation, and to have an activation energy E¸=69.0 kJ/mol. If the -1 rate constant of this reaction is 5.7 × 10² M ''s -1 at 304.0 °C, what will the rate constant be at 256.0 °C? Round your answer to 2 significant digits. -1 k =

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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