The rate constant k for a certain reaction is measured at two different temperatures: temperature k 190.0 °C 9.2×10¹0 316.0°C 8.5x10¹¹ Assuming the rate constant obeys the Arrhenius equation, calculate the activation energy for this reaction. Round your answer to 2 significant digits. = mol 10 S

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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The rate constant \( k \) for a certain reaction is measured at two different temperatures:

| Temperature (°C) | \( k \)               |
|------------------|-----------------------|
| 190.0            | \( 9.2 \times 10^{10} \) |
| 316.0            | \( 8.5 \times 10^{11} \) |

Assuming the rate constant obeys the Arrhenius equation, calculate the activation energy \( E_a \) for this reaction.

Round your answer to 2 significant digits.

The diagram includes a formula box for entering the calculated activation energy, \( E_a \), in \( \text{kJ/mol} \). It also has a text input field with calculator controls for confirming or clearing the input.
Transcribed Image Text:The rate constant \( k \) for a certain reaction is measured at two different temperatures: | Temperature (°C) | \( k \) | |------------------|-----------------------| | 190.0 | \( 9.2 \times 10^{10} \) | | 316.0 | \( 8.5 \times 10^{11} \) | Assuming the rate constant obeys the Arrhenius equation, calculate the activation energy \( E_a \) for this reaction. Round your answer to 2 significant digits. The diagram includes a formula box for entering the calculated activation energy, \( E_a \), in \( \text{kJ/mol} \). It also has a text input field with calculator controls for confirming or clearing the input.
Expert Solution
Step 1: Introduction to the given data
TemperatureRate constant, k
190.0degree C9.2 x 1010
316.0 degree C8.5 x 1011

straight E subscript straight a space equals space ? kJ/mol

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