For the gas phase decomposition of sulfuryl chloride at 600 K SO₂Cl₂ →SO₂ + Cl₂ the following data have been obtained: [SO₂Cl₂], M 4.03x10-3 time, min 0 2.70x10-3 143 1.81x10-3 286 1.21x10-3 429 The average rate of disappearance of SO₂Cl₂ over the time period from t = 286 min to t = 429 min is M min-1.
For the gas phase decomposition of sulfuryl chloride at 600 K SO₂Cl₂ →SO₂ + Cl₂ the following data have been obtained: [SO₂Cl₂], M 4.03x10-3 time, min 0 2.70x10-3 143 1.81x10-3 286 1.21x10-3 429 The average rate of disappearance of SO₂Cl₂ over the time period from t = 286 min to t = 429 min is M min-1.
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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![For the gas phase decomposition of sulfuryl chloride at 600 K:
\[ \text{SO}_2\text{Cl}_2 \rightarrow \text{SO}_2 + \text{Cl}_2 \]
the following data have been obtained:
\[
\begin{array}{|c|c|c|c|c|}
\hline
\text{[SO}_2\text{Cl}_2], \text{ M} & 4.03 \times 10^{-3} & 2.70 \times 10^{-3} & 1.81 \times 10^{-3} & 1.21 \times 10^{-3} \\
\hline
\text{time, min} & 0 & 143 & 286 & 429 \\
\hline
\end{array}
\]
The average rate of disappearance of \(\text{SO}_2\text{Cl}_2\) over the time period from \(t = 286 \, \text{min}\) to \(t = 429 \, \text{min}\) is \(\_\_\_\_ \, \text{M min}^{-1}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F216d8975-823a-443e-8abc-06f056adfa09%2F2598814c-3c7c-48a5-b371-6ce8969fd81b%2Fq1b00nq_processed.png&w=3840&q=75)
Transcribed Image Text:For the gas phase decomposition of sulfuryl chloride at 600 K:
\[ \text{SO}_2\text{Cl}_2 \rightarrow \text{SO}_2 + \text{Cl}_2 \]
the following data have been obtained:
\[
\begin{array}{|c|c|c|c|c|}
\hline
\text{[SO}_2\text{Cl}_2], \text{ M} & 4.03 \times 10^{-3} & 2.70 \times 10^{-3} & 1.81 \times 10^{-3} & 1.21 \times 10^{-3} \\
\hline
\text{time, min} & 0 & 143 & 286 & 429 \\
\hline
\end{array}
\]
The average rate of disappearance of \(\text{SO}_2\text{Cl}_2\) over the time period from \(t = 286 \, \text{min}\) to \(t = 429 \, \text{min}\) is \(\_\_\_\_ \, \text{M min}^{-1}\).
![For the gas phase decomposition of hydrogen peroxide at 400 °C
\[2 \text{H}_2\text{O}_2 \rightarrow 2 \text{H}_2\text{O} + \text{O}_2\]
the following data have been obtained:
\[
\begin{array}{|c|c|c|c|c|}
\hline
[\text{H}_2\text{O}_2], \text{M} & 0.108 & 3.56 \times 10^{-2} & 2.13 \times 10^{-2} & 1.50 \times 10^{-2} \\
\hline
\text{time, s} & 0 & 29.0 & 58.0 & 87.0 \\
\hline
\end{array}
\]
The average rate of disappearance of \[\text{H}_2\text{O}_2\] over the time period from \( t = 29.0 \, \text{s} \) to \( t = 58.0 \, \text{s} \) is \(\_\_\_\_\) M s\(^{-1}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F216d8975-823a-443e-8abc-06f056adfa09%2F2598814c-3c7c-48a5-b371-6ce8969fd81b%2Fs3e4rh8_processed.png&w=3840&q=75)
Transcribed Image Text:For the gas phase decomposition of hydrogen peroxide at 400 °C
\[2 \text{H}_2\text{O}_2 \rightarrow 2 \text{H}_2\text{O} + \text{O}_2\]
the following data have been obtained:
\[
\begin{array}{|c|c|c|c|c|}
\hline
[\text{H}_2\text{O}_2], \text{M} & 0.108 & 3.56 \times 10^{-2} & 2.13 \times 10^{-2} & 1.50 \times 10^{-2} \\
\hline
\text{time, s} & 0 & 29.0 & 58.0 & 87.0 \\
\hline
\end{array}
\]
The average rate of disappearance of \[\text{H}_2\text{O}_2\] over the time period from \( t = 29.0 \, \text{s} \) to \( t = 58.0 \, \text{s} \) is \(\_\_\_\_\) M s\(^{-1}\).
Expert Solution

Step 1: Defining the average rate of disappearance!
Answer:
The average rate of disappearance is equal to the change in concentration of the reactant with respect to time, so
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