### Calculating the Equilibrium Constant for Ammonia Decomposition**Problem Statement:**Ammonia will decompose into nitrogen and hydrogen at high temperature. An industrial chemist studying this reaction fills a 50.0 L tank with 2.8 mol of ammonia gas, and when the mixture has come to equilibrium measures the amount of nitrogen gas to be 0.84 mol. Calculate the concentration equilibrium constant for the decomposition of ammonia at the final temperature of the mixture. Round your answer to 2 significant digits.**Reaction:**Ammonia decomposes as follows:\[ 2 \text{NH}_3 \rightarrow \text{N}_2 + 3 \text{H}_2 \]**Solution Steps:**1. **Determine the change in moles of NH₃:**Since 0.84 mol of N₂ is produced and the stoichiometric ratio between NH₃ and N₂ is 2:1, the moles of NH₃ that decompose:\[ 2 \times 0.84 \text{ mol} = 1.68 \text{ mol} \]2. **Calculate the moles of NH₃ at equilibrium:**Initial moles of NH₃ – moles that decomposed:\[ 2.8 \text{ mol} - 1.68 \text{ mol} = 1.12 \text{ mol} \]3. **Calculate moles of H₂ produced:**The stoichiometric ratio between NH₃ and H₂ is 2:3.\[ 3 \times 0.84 \text{ mol} = 2.52 \text{ mol} \]4. **Determine the concentrations at equilibrium:**For the 50.0 L tank:\[ [\text{NH}_3] = \frac{1.12 \text{ mol}}{50.0 \text{ L}} = 0.0224 \text{ M} \]\[ [\text{N}_2] = \frac{0.84 \text{ mol}}{50.0 \text{ L}} = 0.0168 \text{ M} \]\[ [\text{H}_2] = \frac{2.52 \text{ mol}}{50.0 \text{ L}} = 0.0504 \text{ M} \]

mmonia will decompose into nitrogen and hydrogen at high temperature. An industrial chemist studying this reaction fills a 50.0 L tank with 2.8 mol of mmonia gas, and when the mixture has come to equilibrium measures the amount of nitrogen gas to be 0.84 mol. alculate the concentration equilibrium constant for the decomposition of ammonia at the final temperature of the mixture. Round your answer to 2 gnificant digits. K = D x10 S ?

mmonia will decompose into nitrogen and hydrogen at high temperature. An industrial chemist studying this reaction fills a 50.0 L tank with 2.8 mol of mmonia gas, and when the mixture has come to equilibrium measures the amount of nitrogen gas to be 0.84 mol. alculate the concentration equilibrium constant for the decomposition of ammonia at the final temperature of the mixture. Round your answer to 2 gnificant digits. K = D x10 S ?

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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