**Chemical Reaction Kinetics Problem**At a certain temperature, the rate of this reaction is second order in \( \text{SO}_3 \), with a rate constant of \( 0.013 \, M^{-1} \, s^{-1} \):\[ 2 \text{SO}_3 (g) \rightarrow 2 \text{SO}_2 (g) + \text{O}_2 (g) \]Suppose a vessel contains \( \text{SO}_3 \) at a concentration of \( 1.36 \, M \). Calculate how long it takes for the concentration of \( \text{SO}_3 \) to decrease by 91.1%. You may assume no other reaction is important.**Instructions:**1. **Understand the Reaction Order:** This reaction is second order, meaning the rate law can be expressed as: \[ \text{Rate} = k[\text{SO}_3]^2 \]2. **Initial and Final Concentrations:** - Initial concentration (\( [A]_0 \)) = \( 1.36 \, M \) - Final concentration (\( [A] \)) after 91.1% decrease = \( 1.36 \, M \times (1 - 0.911) = 1.36 \, M \times 0.089 = 0.12104 \, M \)3. **Second-Order Reaction Formula:** Use the integrated rate law for a second-order reaction: \[ \frac{1}{[A]} - \frac{1}{[A]_0} = kt \]**Given Data:** - Rate constant (\( k \)) = \( 0.013 \, M^{-1} \, s^{-1} \) - Initial concentration (\( [A]_0 \)) = \( 1.36 \, M \) - Final concentration (\( [A] \)) = \( 0.12104 \, M \)**Calculation:**1. Plug in the values into the second-order integrated rate equation: \[ \frac{1}{0.12104} - \frac{1}{1.36} = 0.013 \times t \]2. Solve for \( t \): \[ \frac{1}{0.12104} = 8.26 \,

We have to calculate the time required for the concentration of SO3 to decrease by 91% Given…

At a certain temperature the rate of this reaction is second order in SO3 with a rate constant of 0.013M¹s¹: 2SO3(g) -2SO₂ (g) + O₂(g) Suppose a vessel contains SO3 at a concentration of 1.36M. Calculate how long it takes for the concentration of SO3 to decrease by 91.%. You may assume no other reaction is important. Round your answer to 2 significant digits. →

At a certain temperature the rate of this reaction is second order in SO3 with a rate constant of 0.013M¹s¹: 2SO3(g) -2SO₂ (g) + O₂(g) Suppose a vessel contains SO3 at a concentration of 1.36M. Calculate how long it takes for the concentration of SO3 to decrease by 91.%. You may assume no other reaction is important. Round your answer to 2 significant digits. →

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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