### Chemical Kinetics ProblemAt a certain temperature, this reaction follows first-order kinetics with a rate constant of 0.219 s-1:\[2\text{NH}_3(\text{g}) \rightarrow \text{N}_2(\text{g}) + 3\text{H}_2(\text{g})\]Suppose a vessel contains NH3 at a concentration of 0.140 M. Calculate how long it takes for the concentration of NH3 to decrease by 88.0%. You may assume no other reaction is important.Round your answer to 2 significant digits.**Input Box:**[ ]**Unit Selection Dropdown:**[s][s-1]---**Explanation:**First-order reactions can be described by the equation:\[ \ln \left( \frac{[A]_0}{[A]} \right) = k t \]Where:- \([A]_0\) is the initial concentration (0.140 M in this case).- \([A]\) is the final concentration.- \(k\) is the rate constant (0.219 s-1 here).- \(t\) is the time.Given that the concentration decreases by 88.0%, the final concentration \([A]\) is:\[ [A] = [A]_0 \times (1 - 0.88) = 0.140 \times 0.12 = 0.0168 \text{ M} \]Plugging the values into the first-order kinetics equation:\[ \ln \left( \frac{0.140}{0.0168} \right) = 0.219 \times t \]Solving for \(t\):\[ t = \frac{\ln \left( 0.140 / 0.0168 \right)}{0.219} \] Proceed to calculate the exact value to obtain the time \(t\) in seconds.

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At a certain temperature this reaction follows first-order kinetics with a rate constant of 0.219 s¹: 2NH, (g) N₂ (g) + 3H₂(g) Suppose a vessel contains NH, at a concentration of 0.140 M. Calculate how long it takes for the concentration of NH, to decrease by 88.0%. You may assume no other reaction is important. Round your answer to 2 significant digits. 0.2

At a certain temperature this reaction follows first-order kinetics with a rate constant of 0.219 s¹: 2NH, (g) N₂ (g) + 3H₂(g) Suppose a vessel contains NH, at a concentration of 0.140 M. Calculate how long it takes for the concentration of NH, to decrease by 88.0%. You may assume no other reaction is important. Round your answer to 2 significant digits. 0.2

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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