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In the Arrhenius equation \( k=A e^{E / R T} \) rate will be constant at:

1. infinite \( T \) or zero \( E_{a} \)
2. infinite \( E_{a} \) or zero \( T \)
3. infinite \( E_{a} \) and zero \( T \)
4. none of these

Correct answer: infinite \( T \) or zero \( E_{a} \)

Solution

In the Arrhenius form, the temperature dependence comes from the exponential term. If temperature becomes extremely large, or if the activation energy is zero, the exponential factor becomes constant, so the rate constant no longer changes with temperature.

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