### Reaction Rate and Concentration CalculationConsider 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:\[ \text{rate} = (0.0149 \, s^{-1})[SO_3] \]#### Problem StatementSuppose a vessel contains \( SO_3 \) at a concentration of \( 1.30 \, M \). Calculate the concentration of \( SO_3 \) in the vessel after 62.0 seconds. You may assume no other reaction is important. Round your answer to 2 significant digits.#### SolutionTo calculate the concentration of \( SO_3 \) after a given time, we use the first-order integrated rate law formula:\[ [SO_3]_t = [SO_3]_0 e^{-kt} \]where:- \([SO_3]_t\) is the concentration of \( SO_3 \) at time \( t \),- \([SO_3]_0\) is the initial concentration of \( SO_3 \),- \( k \) is the rate constant (\( 0.0149 \, s^{-1} \)),- \( t \) is the time (62.0 seconds),- \( e \) is the base of the natural logarithm.Now, substitute the given values into the formula.1. Initial concentration, \( [SO_3]_0 = 1.30 \, M \)2. Rate constant, \( k = 0.0149 \, s^{-1} \)3. Time, \( t = 62.0 \, s \)\[ [SO_3]_t = 1.30 \, M \cdot e^{-(0.0149 \, s^{-1})(62.0 \, s)} \]Using a calculator to compute the exponent:\[ [SO_3]_t = 1.30 \, M \cdot e^{-0.9238} \]\[ [SO_3]_t \approx 1.30 \, M \cdot 0.3966 \]\[ [SO_3]_t \approx 0.5156 \, M \]Rounding to 2 significant digits:\[ [SO_3]_

Given reaction; 2SO3 (g) -----> 2SO2 (g) + O2 (g) rate law = (0.0149 s-1 )[SO3] From the rate…

Consider this reaction: 280, (g) → 2S0, (g) + O, (g) At a certain temperature it obeys this rate law. rate = (0.0149 s1)[so,] Suppose a vessel contains SO, at a concentration of 1.30M. Calculate the concentration of SO, in the vessel 62.0 seconds later. You may assume no other reaction is important. Round your answer to 2 significant digits.

Consider this reaction: 280, (g) → 2S0, (g) + O, (g) At a certain temperature it obeys this rate law. rate = (0.0149 s1)[so,] Suppose a vessel contains SO, at a concentration of 1.30M. Calculate the concentration of SO, in the vessel 62.0 seconds later. 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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