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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![**Question 10: Reaction Rate Calculation**
Consider the chemical reaction:
\[ 2\text{NH}_3(\text{g}) \rightarrow \text{N}_2(\text{g}) + 3\text{H}_2(\text{g}) \]
If the rate of change of the concentration of hydrogen gas (\(\Delta[\text{H}_2]/\Delta t\)) is \(0.030 \, \text{M} \cdot \text{s}^{-1}\), determine the rate of change of the concentration of ammonia (\(\Delta[\text{NH}_3]/\Delta t\)).
To solve this, use the stoichiometric relationships from the balanced chemical equation. The relationship between the rates for each component can be derived from the coefficients:
\[ \text{Rate of } \text{H}_2 = 3 \times \text{Rate of NH}_3 \]
Thus, knowing the rate of formation of \(\text{H}_2\), the rate of disappearance of \(\text{NH}_3\) can be calculated as:
\[ \Delta[\text{NH}_3]/\Delta t = \text{Rate of } \text{H}_2 / 3 \]
\[ \Delta[\text{NH}_3]/\Delta t = 0.030 \, \text{M} \cdot \text{s}^{-1} / 3 \]
\[ \Delta[\text{NH}_3]/\Delta t = 0.010 \, \text{M} \cdot \text{s}^{-1} \]
Therefore, the rate of change of concentration of ammonia (\(\Delta[\text{NH}_3]/\Delta t\)) is \(0.010 \, \text{M} \cdot \text{s}^{-1}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50ac3af8-ea03-460e-925c-2b4d70dad9f3%2F495771e2-66fa-488e-ae12-f2fd8a9b2915%2F1rlszta.png&w=3840&q=75)
Transcribed Image Text:**Question 10: Reaction Rate Calculation**
Consider the chemical reaction:
\[ 2\text{NH}_3(\text{g}) \rightarrow \text{N}_2(\text{g}) + 3\text{H}_2(\text{g}) \]
If the rate of change of the concentration of hydrogen gas (\(\Delta[\text{H}_2]/\Delta t\)) is \(0.030 \, \text{M} \cdot \text{s}^{-1}\), determine the rate of change of the concentration of ammonia (\(\Delta[\text{NH}_3]/\Delta t\)).
To solve this, use the stoichiometric relationships from the balanced chemical equation. The relationship between the rates for each component can be derived from the coefficients:
\[ \text{Rate of } \text{H}_2 = 3 \times \text{Rate of NH}_3 \]
Thus, knowing the rate of formation of \(\text{H}_2\), the rate of disappearance of \(\text{NH}_3\) can be calculated as:
\[ \Delta[\text{NH}_3]/\Delta t = \text{Rate of } \text{H}_2 / 3 \]
\[ \Delta[\text{NH}_3]/\Delta t = 0.030 \, \text{M} \cdot \text{s}^{-1} / 3 \]
\[ \Delta[\text{NH}_3]/\Delta t = 0.010 \, \text{M} \cdot \text{s}^{-1} \]
Therefore, the rate of change of concentration of ammonia (\(\Delta[\text{NH}_3]/\Delta t\)) is \(0.010 \, \text{M} \cdot \text{s}^{-1}\).
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