For the gas phase isomerization of methyl cis-cinnamate, cis-C,H;CH=CHCOOCH;→trans-CH;CH=CHCOOCH3 the rate constant has been determined at several temperatures. When In k in s is plotted against the reciprocal of the Kelvin temperature, the resulting linear plot has a slope of -2.09x10ʻ K and a y-intercept of 24.3. The activation energy for the gas phase isomerization of methyl cis-cinnamate is kJ/mol.

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I don’t know how to do this question about activation energy.
For the gas phase isomerization of methyl cis-cinnamate:

\[ \text{cis-C}_6\text{H}_5\text{CH=CHCOOCH}_3 \longrightarrow \text{trans-C}_6\text{H}_5\text{CH=CHCOOCH}_3 \]

The rate constant has been determined at several temperatures. When ln \( k \) in s\(^{-1}\) is plotted against the reciprocal of the Kelvin temperature, the resulting linear plot has a slope of -2.09 x 10\(^4\) K and a y-intercept of 24.3.

The activation energy for the gas phase isomerization of methyl cis-cinnamate is _______ kJ/mol.

**Diagram Explanation:**

There is no diagram or graph included in this text. The text refers to a linear graph plot description, where the natural logarithm of the rate constant \( k \) is plotted against the reciprocal of temperature in Kelvin. The graph's slope and y-intercept are provided, which are used to calculate the activation energy using the Arrhenius equation.

**Interactive Elements:**

- **Submit Answer Button:** Used to submit the calculated activation energy.
- **Retry Entire Group Button:** Allows a retry of the question, indicating multiple attempts are allowed.
- **Attempts Information:** Indicates "9 more group attempts remaining."
Transcribed Image Text:For the gas phase isomerization of methyl cis-cinnamate: \[ \text{cis-C}_6\text{H}_5\text{CH=CHCOOCH}_3 \longrightarrow \text{trans-C}_6\text{H}_5\text{CH=CHCOOCH}_3 \] The rate constant has been determined at several temperatures. When ln \( k \) in s\(^{-1}\) is plotted against the reciprocal of the Kelvin temperature, the resulting linear plot has a slope of -2.09 x 10\(^4\) K and a y-intercept of 24.3. The activation energy for the gas phase isomerization of methyl cis-cinnamate is _______ kJ/mol. **Diagram Explanation:** There is no diagram or graph included in this text. The text refers to a linear graph plot description, where the natural logarithm of the rate constant \( k \) is plotted against the reciprocal of temperature in Kelvin. The graph's slope and y-intercept are provided, which are used to calculate the activation energy using the Arrhenius equation. **Interactive Elements:** - **Submit Answer Button:** Used to submit the calculated activation energy. - **Retry Entire Group Button:** Allows a retry of the question, indicating multiple attempts are allowed. - **Attempts Information:** Indicates "9 more group attempts remaining."
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