The rate constant k for a certain reaction is measured at two different temperatures: temperature k 4.8 x 1010 2.3 x 10 10 Assuming the rate constant obeys the Arrhenius equation, calculate the activation energy E for this reaction. Round your answer to 2 significant digits. E 381.0 °C 281.0 °C kJ mol 00 X S

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**Using the Arrhenius Equation to Calculate Ea from k versus T Data**

The rate constant \( k \) for a certain reaction is measured at two different temperatures:

| Temperature (\( °C \)) | \( k \) |
|-----------------------|---------|
| 381.0                 | \( 4.8 \times 10^{10} \) |
| 281.0                 | \( 2.3 \times 10^{10} \) |

Assuming the rate constant obeys the Arrhenius equation, calculate the activation energy \( E_a \) for this reaction. Round your answer to 2 significant digits.

\[ E_a = \, \text{   } \text{kJ/mol} \]

[Input Field:](Multiply by 10)

[Explanation] [Check]

**Diagram Explanation:**

There is a table that displays two temperature values in degrees Celsius alongside their corresponding rate constants \( k \) in scientific notation. 

Below the table, there is a prompt to calculate the activation energy, \( E_a \), using the Arrhenius equation. An input field is provided for the answer, with a direction to multiply by 10 if necessary. 

Buttons for "Explanation" and "Check" are available for further guidance and to check the computed answer.
Transcribed Image Text:**Using the Arrhenius Equation to Calculate Ea from k versus T Data** The rate constant \( k \) for a certain reaction is measured at two different temperatures: | Temperature (\( °C \)) | \( k \) | |-----------------------|---------| | 381.0 | \( 4.8 \times 10^{10} \) | | 281.0 | \( 2.3 \times 10^{10} \) | Assuming the rate constant obeys the Arrhenius equation, calculate the activation energy \( E_a \) for this reaction. Round your answer to 2 significant digits. \[ E_a = \, \text{ } \text{kJ/mol} \] [Input Field:](Multiply by 10) [Explanation] [Check] **Diagram Explanation:** There is a table that displays two temperature values in degrees Celsius alongside their corresponding rate constants \( k \) in scientific notation. Below the table, there is a prompt to calculate the activation energy, \( E_a \), using the Arrhenius equation. An input field is provided for the answer, with a direction to multiply by 10 if necessary. Buttons for "Explanation" and "Check" are available for further guidance and to check the computed answer.
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