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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 3.66×102 1.83x102 9.15x103 4.58x10 3 time, min 23.8 47.6 71.4 Hint: It is not necessary to graph these data. (1) The half life observed for this reaction is min (2) -1 Based on these data, the rate constant for this order reaction is min zero

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 3.66×102 1.83x102 9.15x103 4.58x10 3 time, min 23.8 47.6 71.4 Hint: It is not necessary to graph these data. (1) The half life observed for this reaction is min (2) -1 Based on these data, the rate constant for this order reaction is min zero

Chemistry
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
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There's a drop down menu for the first blank on number 2 and the options are zero, first, and second.

## Gas Phase Decomposition of Dimethyl Ether The following data are for the gas phase decomposition of dimethyl ether at 500 °C. ### Chemical Reaction **CH₃OCH₃(g) → CH₄(g) + H₂(g) + CO(g)** ### Observed Data | Time (min) | [CH₃OCH₃] (M) | |------------|--------------------| | 0 | 3.66 x 10⁻² | | 23.8 | 1.83 x 10⁻² | | 47.6 | 9.15 x 10⁻³ | | 71.4 | 4.58 x 10⁻³ | ### Instructions: 1. **Calculate the Half-life:** The half-life observed for this reaction is \_\_\_\_\_\_ min. 2. **Determine the Rate Constant:** Based on these data, the rate constant for this \_\_\_\_\_\_ order reaction is \_\_\_\_\_\_ min⁻¹. ### Additional Notes - **Hint:** It is not necessary to graph these data. ### Answer Submission - Select the appropriate reaction order from the given options (zero, first, second) and determine the rate constant accordingly. Submit your answers using the provided options and ensure to check your calculations for accuracy. ### Interactive Components - Dropdown menu to select the reaction order (zero, first, second) - Input fields to enter the calculated half-life and rate constant - Buttons: "Submit Answer" and "Try Another Version" for response verification and additional practice respectively. #### Example Calculation For a decomposition process, you often use the integrated rate laws depending on the order of the reaction to find the half-life and the rate constant. Please use the data accordingly to derive these values.
Transcribed Image Text:## Gas Phase Decomposition of Dimethyl Ether The following data are for the gas phase decomposition of dimethyl ether at 500 °C. ### Chemical Reaction **CH₃OCH₃(g) → CH₄(g) + H₂(g) + CO(g)** ### Observed Data | Time (min) | [CH₃OCH₃] (M) | |------------|--------------------| | 0 | 3.66 x 10⁻² | | 23.8 | 1.83 x 10⁻² | | 47.6 | 9.15 x 10⁻³ | | 71.4 | 4.58 x 10⁻³ | ### Instructions: 1. **Calculate the Half-life:** The half-life observed for this reaction is \_\_\_\_\_\_ min. 2. **Determine the Rate Constant:** Based on these data, the rate constant for this \_\_\_\_\_\_ order reaction is \_\_\_\_\_\_ min⁻¹. ### Additional Notes - **Hint:** It is not necessary to graph these data. ### Answer Submission - Select the appropriate reaction order from the given options (zero, first, second) and determine the rate constant accordingly. Submit your answers using the provided options and ensure to check your calculations for accuracy. ### Interactive Components - Dropdown menu to select the reaction order (zero, first, second) - Input fields to enter the calculated half-life and rate constant - Buttons: "Submit Answer" and "Try Another Version" for response verification and additional practice respectively. #### Example Calculation For a decomposition process, you often use the integrated rate laws depending on the order of the reaction to find the half-life and the rate constant. Please use the data accordingly to derive these values.
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