**Reaction Rate Calculation Example**Consider the following reaction:\[ 2SO_3(g) \rightarrow 2SO_2(g) + O_2(g) \]At a certain temperature, this reaction follows the rate law given by:\[ \text{rate} = (0.00295 \, \text{s}^{-1}) [SO_3] \]Suppose a vessel contains $ SO_3 $ at an initial concentration of $ 1.28 \, M $. Calculate the concentration of $ SO_3 $ in the vessel after 270 seconds. You may assume no other reaction is important.**Steps to Calculate:**1. Initial concentration of $ SO_3 $: $ [SO_3]_0 = 1.28 \, M $2. Rate constant: $ k = 0.00295 \, \text{s}^{-1} $3. Time: $ t = 270 \, \text{seconds} $Since this is a first-order reaction in $ SO_3 $, we use the first-order integrated rate law:\[ [SO_3]_t = [SO_3]_0 \cdot e^{-kt} \]Substitute the values into the equation:\[ [SO_3]_{270} = 1.28 \, M \cdot e^{-(0.00295 \, \text{s}^{-1} \cdot 270 \, \text{s})} \]4. Calculate the exponent:\[ -(0.00295 \, \text{s}^{-1} \cdot 270 \, \text{s}) = -0.7965 \]5. Calculate the exponential term:\[ e^{-0.7965} \approx 0.451 \]6. Calculate the concentration of $ SO_3 $ after 270 seconds:\[ [SO_3]_{270} = 1.28 \, M \cdot 0.451 \approx 0.577 \, M \]Round your answer to 2 significant digits:\[ [SO_3]_{270} \approx 0.58 \, M \]**Final Answer:** The concentration of $ SO_3 $ after 270 seconds is approximately $ 0.58 \, M $.**Diagram Explanation:**- There is a box for entering the calculated concentration of

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Consider this reaction: 2SO₂(g) → 2SO₂(g) + O₂(g) At a certain temperature it obeys this rate law. = (0.00295 S-¹) [SO3] rate= Suppose a vessel contains SO3 at a concentration of 1.28M. Calculate the concentration of SO3 reaction is important. Round your answer to 2 significant digits. in the vessel 270. seconds later. You may assume no other

Consider this reaction: 2SO₂(g) → 2SO₂(g) + O₂(g) At a certain temperature it obeys this rate law. = (0.00295 S-¹) [SO3] rate= Suppose a vessel contains SO3 at a concentration of 1.28M. Calculate the concentration of SO3 reaction is important. Round your answer to 2 significant digits. in the vessel 270. seconds later. You may assume no other

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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