### Question on Second-Order Reaction KineticsA reaction that is second-order in one reactant has a rate constant of \( 2.2 \times 10^{-2} \) L/(mol·s). If the initial concentration of the reactant is 0.360 mol/L, how long (in seconds) will it take for the concentration to become 0.180 mol/L?### ExplanationIn a second-order reaction where the rate law is given by:\[ \text{Rate} = k[A]^2 \]the integrated rate equation for a second-order reaction is:\[ \frac{1}{[A]_t} = kt + \frac{1}{[A]_0} \]where:- \([A]_t\) is the concentration of the reactant at time \( t \)- \( [A]_0 \) is the initial concentration of the reactant- \( k \) is the rate constant- \( t \) is the timeGiven:- The rate constant, \( k = 2.2 \times 10^{-2} \) L/(mol·s)- The initial concentration, \([A]_0 = 0.360 \) mol/L- The final concentration, \([A]_t = 0.180 \) mol/LPlugging in the values, we get:\[ \frac{1}{0.180} = (2.2 \times 10^{-2}) \times t + \frac{1}{0.360} \]Solve for \( t \):\[ \frac{1}{0.180} = 5.556 \]\[ \frac{1}{0.360} = 2.778 \]\[ 5.556 = (2.2 \times 10^{-2}) t + 2.778 \]\[ 5.556 - 2.778 = (2.2 \times 10^{-2}) t \]\[ 2.778 = (2.2 \times 10^{-2}) t \]\[ t = \frac{2.778}{2.2 \times 10^{-2}} \]Finally:\[ t \approx 126.27 \text{ seconds} \]Therefore, it will take approximately \( 126.27 \) seconds for the concentration to decrease from 0.360 mol/L to

Given : Rate constant of reaction = 2.2 X 10-2 M-1s-1. Initial concentration of reactant = 0.360 M…

. A reaction that is second-order in one reactant has a rate constant of 2.2 x 10-2 L/(mol • ). If the initial concentration of the reactant is 0.360 mol/L, how long (in seconds) will it take for the concentration to become 0.180 mol/L?

. A reaction that is second-order in one reactant has a rate constant of 2.2 x 10-2 L/(mol • ). If the initial concentration of the reactant is 0.360 mol/L, how long (in seconds) will it take for the concentration to become 0.180 mol/L?

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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