The gas phase decomposition of dimethyl ether at 500 °C CH;OCH;(g) CH4(g) + H2(g) + CO(g) is first order in CH3OCH3. During one experiment it was found that when the initial concentration of CH3OCH3 was 0.141 M, the concentration of CH;OCH, dropped to 4.00×10-² M after 2017 s had passed. Based on this experiment, the rate constant for the reaction is

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The gas phase decomposition of dimethyl ether at 500 °C:

\[ \text{CH}_3\text{OCH}_3(\text{g}) \rightarrow \text{CH}_4(\text{g}) + \text{H}_2(\text{g}) + \text{CO}(\text{g}) \]

is first order in \(\text{CH}_3\text{OCH}_3\).

During one experiment, it was found that when the initial concentration of \(\text{CH}_3\text{OCH}_3\) was 0.141 M, the concentration of \(\text{CH}_3\text{OCH}_3\) dropped to \(4.00 \times 10^{-2}\) M after 2017 s had passed.

Based on this experiment, the rate constant for the reaction is \(\underline{\hspace{1cm}}\) s\(^{-1}\).
Transcribed Image Text:The gas phase decomposition of dimethyl ether at 500 °C: \[ \text{CH}_3\text{OCH}_3(\text{g}) \rightarrow \text{CH}_4(\text{g}) + \text{H}_2(\text{g}) + \text{CO}(\text{g}) \] is first order in \(\text{CH}_3\text{OCH}_3\). During one experiment, it was found that when the initial concentration of \(\text{CH}_3\text{OCH}_3\) was 0.141 M, the concentration of \(\text{CH}_3\text{OCH}_3\) dropped to \(4.00 \times 10^{-2}\) M after 2017 s had passed. Based on this experiment, the rate constant for the reaction is \(\underline{\hspace{1cm}}\) s\(^{-1}\).
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