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CHEMISTRY

Arrhenius Temperature Rate Ratio Calculator

Calculate how an entered activation energy changes a reaction rate constant between two absolute temperatures.

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Calculation steps

Work through one step at a time or reveal the complete calculation. The steps use your current inputs.

    How to calculate

    Subtract reciprocal absolute temperatures in the two-temperature Arrhenius equation. Exponentiate the log ratio and multiply the reference rate constant.

    ln(k2/k1)=Ea/R(1/T1βˆ’1/T2); k2=k1 exp[ln ratio]

    Worked example

    With Ea=0, both temperatures have the same rate constant. With Ea=50 kJ/mol, 298.15 K to 308.15 K gives a ratio of about 1.9243.

    Assumptions and input details

    Temperatures are positive kelvin, activation energy nonnegative and entered in kJ/mol. One unchanged reaction mechanism and pre-exponential factor are assumed. Rate constant units depend on reaction order and are supplied consistently by you; this does not calculate reaction rate from concentration or predict completion time. Numerical overflow/underflow is rejected. This model does not establish chemical handling, storage or reaction safety.

    References: OpenStax: Arrhenius equation

    Using this calculator

    Can I enter my own problem?

    Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.

    Are the results exact?

    Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.

    Is my input uploaded?

    The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.

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