The rate constant for this first-order reaction is 0.450 s⁻¹ at 400 °C. A → products How long, in seconds, would it take for the concentration of A to decrease from 0.800 M to 0.250 M? \[ t = \] There is a blank space provided for input. ### Explanation: The problem requires using the first-order reaction integrated rate law to calculate the time it takes for the concentration of reactant A to decrease from 0.800 M to 0.250 M. For a first-order reaction, the integrated rate law is given by: \[ t = \frac{1}{k} \ln \left(\frac{[A]_0}{[A]}\right) \] where: - \( t \) is the time, - \( k \) is the rate constant, - \([A]_0\) is the initial concentration, - \([A]\) is the concentration at time \( t \). In this problem: - \( k = 0.450 \, \text{s}^{-1} \), - \([A]_0 = 0.800 \, \text{M} \), - \([A] = 0.250 \, \text{M} \). The box labeled "TOOLS x10⁷" may be a utility for calculations or converting numbers to scientific notation.

The rate constant for this first-order reaction is 0.450 s⁻¹ at 400 °C. A → products How long, in seconds, would it take for the concentration of A to decrease from 0.800 M to 0.250 M? \[ t = \] There is a blank space provided for input. ### Explanation: The problem requires using the first-order reaction integrated rate law to calculate the time it takes for the concentration of reactant A to decrease from 0.800 M to 0.250 M. For a first-order reaction, the integrated rate law is given by: \[ t = \frac{1}{k} \ln \left(\frac{[A]_0}{[A]}\right) \] where: - \( t \) is the time, - \( k \) is the rate constant, - \([A]_0\) is the initial concentration, - \([A]\) is the concentration at time \( t \). In this problem: - \( k = 0.450 \, \text{s}^{-1} \), - \([A]_0 = 0.800 \, \text{M} \), - \([A] = 0.250 \, \text{M} \). The box labeled "TOOLS x10⁷" may be a utility for calculations or converting numbers to scientific notation.

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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