The rate constant k for a certain reaction is measured at two different temperatures: temperature 228.0 °C 175.0 °C k 1.6× 108 2.6× 107 Assuming the rate constant obeys the Arrhenius equation, calculate the activation energy E for this reaction. Round your answer to 2 significant digits.

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

\[
\begin{array}{|c|c|}
\hline
\text{temperature} & k \\
\hline
228.0 \, ^\circ \text{C} & 1.6 \times 10^8 \\
175.0 \, ^\circ \text{C} & 2.6 \times 10^7 \\
\hline
\end{array}
\]

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

Round your answer to 2 significant digits.

\[
E_a = \boxed{\phantom{000}} \, \frac{\text{kJ}}{\text{mol}}
\]

Additionally, there is a box for entering the answer with options for multiplying by a power of ten and buttons for confirming or resetting the input.
Transcribed Image Text:The rate constant \( k \) for a certain reaction is measured at two different temperatures: \[ \begin{array}{|c|c|} \hline \text{temperature} & k \\ \hline 228.0 \, ^\circ \text{C} & 1.6 \times 10^8 \\ 175.0 \, ^\circ \text{C} & 2.6 \times 10^7 \\ \hline \end{array} \] Assuming the rate constant obeys the Arrhenius equation, calculate the activation energy \( E_a \) for this reaction. Round your answer to 2 significant digits. \[ E_a = \boxed{\phantom{000}} \, \frac{\text{kJ}}{\text{mol}} \] Additionally, there is a box for entering the answer with options for multiplying by a power of ten and buttons for confirming or resetting the input.
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Step 1: Write the mathematical form of the Arrhenius equation

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