### Reaction Rate and Concentration CalculationAt a certain temperature, the rate of this reaction is first order in \( \text{NH}_3 \) with a rate constant of \( 1.22 \ s^{-1} \):\[2\text{NH}_3 \ (g) \rightarrow \text{N}_2 \ (g) + 3\text{H}_2 \ (g)\]Suppose a vessel contains \( \text{NH}_3 \) at a concentration of \( 0.450 \ M \). Calculate the concentration of \( \text{NH}_3 \) in the vessel \( 0.860 \) seconds later. You may assume no other reaction is important.Round your answer to 2 significant digits.____\(\boxed{\phantom{0}M}\) \[\checkmark_{x10}\]**Explanation:**1. **Identify the Reaction Order and Rate Constant:** - The reaction is first order in \( \text{NH}_3 \) (ammonia). - The rate constant \( k \) is \( 1.22 \ s^{-1} \).2. **Initial Concentration:** - Initial concentration of \( \text{NH}_3 \) is \( [\text{NH}_3]_0 = 0.450 \ M \).3. **Use the First Order Reaction Formula:** - The formula for first-order reactions is: \[ [\text{NH}_3] = [\text{NH}_3]_0 e^{-kt} \]4. **Substitute the Given Values:** - Time \( t \) is \( 0.860 \) seconds. - Substitute into the formula: \[ [\text{NH}_3] = 0.450 \ M \times e^{-1.22 \times 0.860} \]5. **Calculate:** - Calculate the exponent: \[ -1.22 \times 0.860 \approx -1.0492 \] - Calculate \( e^{-1.0492} \): \[ e^{-1.0492} \approx 0.350 \] - Final concentration: \[ [\text{NH}_3] \approx 0.450 \ M

Given: The rate constant of the reaction, (K)=1.22S-1. The initial concentration of NH3, [A0]=0.450…

At a certain temperature the rate of this reaction is first order in NH, with a rate constant of 1.22 s : 2NH; (g) → N, (3) + 3H, (2) Suppose a vessel contains NH, at a concentration of 0.450M. Calculate the concentration of NH, in the vessel 0.860 seconds later. You may assume no other reaction is important. Round your answer to 2 significant digits. ?

At a certain temperature the rate of this reaction is first order in NH, with a rate constant of 1.22 s : 2NH; (g) → N, (3) + 3H, (2) Suppose a vessel contains NH, at a concentration of 0.450M. Calculate the concentration of NH, in the vessel 0.860 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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