The following data are for the gas phase decomposition of dimethyl ether at 500 °C. CH3OCH3(g) →→→ CH4(g) + H₂(g) + CO(g) [CH3OCH3 ], M time, min 2.59x10-2 0 1.30x10-2 21.5 6.50x10-3 (2) Based on these data, the rate constant for this 43.0 Hint: It is not necessary to graph these data. (1) The half life observed for this reaction is min. 3.25x10-3 64.5 order reaction is min -¹.
The following data are for the gas phase decomposition of dimethyl ether at 500 °C. CH3OCH3(g) →→→ CH4(g) + H₂(g) + CO(g) [CH3OCH3 ], M time, min 2.59x10-2 0 1.30x10-2 21.5 6.50x10-3 (2) Based on these data, the rate constant for this 43.0 Hint: It is not necessary to graph these data. (1) The half life observed for this reaction is min. 3.25x10-3 64.5 order reaction is min -¹.
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![**Dimethyl Ether Gas Phase Decomposition at 500°C**
The following data are for the gas phase decomposition of dimethyl ether at 500°C:
**Reaction:**
\[ \text{CH}_3\text{OCH}_3(\text{g}) \rightarrow \text{CH}_4(\text{g}) + \frac{1}{2} \text{H}_2(\text{g}) + \text{CO(g)} \]
**Table of Concentrations:**
\[
\begin{array}{|c|c|}
\hline
\text{Time (min)} & [\text{CH}_3\text{OCH}_3] \, \text{(M)} \\
\hline
0 & 2.59 \times 10^{-2} \\
21.5 & 1.30 \times 10^{-2} \\
43.0 & 6.50 \times 10^{-3} \\
64.5 & 3.25 \times 10^{-3} \\
\hline
\end{array}
\]
**Notes:**
- **Hint:** It is not necessary to graph these data.
**Questions:**
1. The half-life observed for this reaction is **____ min**.
2. Based on these data, the rate constant for this **order reaction is ____ min⁻¹**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8d8ce1c-d1ae-4fbf-bbe3-121c6915374e%2F17be5d3c-39ec-4230-aba9-4ccb9d0fdd1d%2Fdyb0ybx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Dimethyl Ether Gas Phase Decomposition at 500°C**
The following data are for the gas phase decomposition of dimethyl ether at 500°C:
**Reaction:**
\[ \text{CH}_3\text{OCH}_3(\text{g}) \rightarrow \text{CH}_4(\text{g}) + \frac{1}{2} \text{H}_2(\text{g}) + \text{CO(g)} \]
**Table of Concentrations:**
\[
\begin{array}{|c|c|}
\hline
\text{Time (min)} & [\text{CH}_3\text{OCH}_3] \, \text{(M)} \\
\hline
0 & 2.59 \times 10^{-2} \\
21.5 & 1.30 \times 10^{-2} \\
43.0 & 6.50 \times 10^{-3} \\
64.5 & 3.25 \times 10^{-3} \\
\hline
\end{array}
\]
**Notes:**
- **Hint:** It is not necessary to graph these data.
**Questions:**
1. The half-life observed for this reaction is **____ min**.
2. Based on these data, the rate constant for this **order reaction is ____ min⁻¹**.
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