### Reaction Kinetics Problem**Problem Statement:**At a certain temperature, this reaction follows first-order kinetics with a rate constant of \(0.0968 \, \text{s}^{-1}\):\[ 2 \text{N}_2\text{O}_5 (g) \rightarrow 2 \text{N}_2\text{O}_4 (g) + \text{O}_2 (g) \]Suppose a vessel contains \(\text{N}_2\text{O}_5\) at a concentration of \(1.07 \, M\). Calculate the concentration of \(\text{N}_2\text{O}_5\) in the vessel 6.40 seconds later. You may assume no other reaction is important.Round your answer to 2 significant digits.**Calculation:**Use the formula for first-order reactions:\[ [\text{A}]_t = [\text{A}]_0 \cdot e^{-kt} \]Where:- \([\text{A}]_t\) is the concentration of the reactant at time \(t\).- \([\text{A}]_0\) is the initial concentration of the reactant.- \(k\) is the rate constant.- \(t\) is the time.Given:- \( [\text{N}_2\text{O}_5]_0 = 1.07 \, M \)- \( k = 0.0968 \, \text{s}^{-1} \)- \( t = 6.40 \, \text{s} \)Calculate \([\text{N}_2\text{O}_5]_t\):\[ [\text{N}_2\text{O}_5]_{6.40} = 1.07 e^{-0.0968 \times 6.40} \]Solve for the exponent first:\[ 0.0968 \times 6.40 = 0.61952 \]Now, find \( e^{-0.61952} \):\[ e^{-0.61952} \approx 0.538 \]Finally, calculate the concentration:\[ [\text{N}_2\text{O}_5]_{6.40} = 1.07 \times 0.538 = 0.575

Given that: rate constant = 0.0968 s-1 t = 0.680 s initial concentration of N2O5 = 1.07 M To find,…

At a certain temperature this reaction follows first-order kinetics with a rate constant of 0.0968 s 2N,O; (g) → 2N,O, (g) + O, (g) Suppose a vessel contains N,0, at a concentration of 1.07M. Calculate the concentration of N,O, in the vessel 6.40 seconds late You may assume no other reaction is important. Round your answer to 2 significant digits.

At a certain temperature this reaction follows first-order kinetics with a rate constant of 0.0968 s 2N,O; (g) → 2N,O, (g) + O, (g) Suppose a vessel contains N,0, at a concentration of 1.07M. Calculate the concentration of N,O, in the vessel 6.40 seconds late 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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