### Second-Order Reaction KineticsAt a certain temperature, the reaction described follows second-order kinetics with a rate constant of \(0.0618 \, M^{-1} \, s^{-1}\):\[2NH_3(g) \rightarrow N_2(g) + 3H_2(g)\]Suppose a vessel contains \(NH_3\) at a concentration of \(1.25 \, M\). Calculate the concentration of \(NH_3\) in the vessel 68.0 seconds later. You may assume no other reaction is important.Round your answer to 2 significant digits.**Input:** \[ \boxed{\,\,\,\,\,\,} \, M \]For more assistance:\[ \square \times 10 \, \boxed{x} \, \boxed{\Rightarrow} \, \boxed{?} \]**Explanation:**This problem presents a second-order reaction where the rate law is given by:\[ \frac{1}{[A]} - \frac{1}{[A_0]} = kt \]- \([A]\) is the concentration of \(NH_3\) at time \(t\).- \([A_0]\) is the initial concentration of \(NH_3\) (1.25 M).- \(k\) is the rate constant (0.0618 \(M^{-1} s^{-1}\)).- \(t\) is the time (68.0 seconds).### Calculation Steps1. Plug in the values into the second-order rate equation: \[ \frac{1}{[A]} - \frac{1}{1.25} = (0.0618)(68.0) \]2. Solve for \( [A] \): \[ \frac{1}{[A]} = \frac{1}{1.25} + (0.0618 \times 68.0) \]3. Simplify: \[ \frac{1}{[A]} = 0.8 + 4.2024 = 5.0024 \]4. Take the reciprocal to find the concentration at \( t = 68.0 \) seconds: \[ [A] = \frac{1}{5.0024} \approx 0.2 \, M

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At a certain temperature this reaction follows second-order kinetics with a rate constant of 0.0618 M 2NH3 (g) → N₂ (g) + 3H₂(g) Suppose a vessel contains NH3 at a concentration of 1.25 M. Calculate the concentration of NH3 in the vessel 68.0 seconds later. You may assume no other reaction is important. Round your answer to 2 significant digits. OM S ? 0.9 X

At a certain temperature this reaction follows second-order kinetics with a rate constant of 0.0618 M 2NH3 (g) → N₂ (g) + 3H₂(g) Suppose a vessel contains NH3 at a concentration of 1.25 M. Calculate the concentration of NH3 in the vessel 68.0 seconds later. You may assume no other reaction is important. Round your answer to 2 significant digits. OM S ? 0.9 X

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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