**Chemical Reaction Kinetics Example Problem***Nitrogen Pentoxide Decomposition Rate Constant Calculation***Problem:**N₂O₅ is used as a source of NO₂ in chemical reactions. The compound decomposes in a first-order reaction. If the initial concentration of N₂O₅ is 0.400 M, and the concentration is 0.025 M after 120 seconds, what is the rate constant \( k \) of the reaction?**Options:**a. 7.50 s\(^{-1}\)b. 333 s\(^{-1}\)c. 2.77 s\(^{-1}\)d. 2.31 × 10\(^{-2}\) s\(^{-1}\)e. 5.21 × 10\(^{-4}\) s\(^{-1}\)**Solution Strategy:**To find the reaction rate constant \( k \) for a first-order reaction, use the first-order kinetics formula:\[ \ln([A]_t) = \ln([A]_0) - kt \]Where:- \([A]_t\) is the concentration of N₂O₅ at time \( t \)- \([A]_0\) is the initial concentration of N₂O₅- \( t \) is the time elapsed- \( k \) is the rate constant to be determinedGiven:- \([A]_0 = 0.400 \, M\)- \([A]_t = 0.025 \, M\)- \( t = 120 \, \text{s}\)Follow these steps to solve for \( k \):1. Substitute the given concentrations and time into the first-order kinetics formula.2. Rearrange and solve for \( k \).This example helps illustrate the application of first-order kinetics principles in determining the rate constant of a decomposition reaction.

Given: Initial concentration of N2O5 = 0.400 M Final concentration of N2O5 = 0.025 M Time = 120 s

N2O5 is used as a source of NO2 in chemical reactions. The compound decomposes in a first order reaction. If the initial concentration of N2O5 = 0.400 M, and the concentration is 0.025 M after 120 seconds, what is the rate constant k of the reaction? a. 7.50 s-1 b. 333 s-1 c. 2.77 s-1 d. 2.31 x 102s1 e. 5.21 x 104s

N2O5 is used as a source of NO2 in chemical reactions. The compound decomposes in a first order reaction. If the initial concentration of N2O5 = 0.400 M, and the concentration is 0.025 M after 120 seconds, what is the rate constant k of the reaction? a. 7.50 s-1 b. 333 s-1 c. 2.77 s-1 d. 2.31 x 102s1 e. 5.21 x 104s

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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