ratio.

Find a tool

Browse all tools and categories ↗
SECOND ORDER REACTION

Second Order Reaction Calculator

Calculate concentration and concentration-dependent half-life for the explicit disappearance law −dC/dt=kC².

Enter your values

01 / INPUT
Calculated on your device

YOUR CALCULATION

Result

—

Calculation steps

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

    How to calculate

    Integrate the specified second-order concentration disappearance law without silently inserting a reaction stoichiometric factor.

    C(t)=C0/(1+k C0 t); half-life=1/(k C0)

    Worked example

    C0=0.1 mol/L, k=0.5 L/(mol s) and t=60 s give C=0.025 mol/L and first half-life 20 s.

    Assumptions and input details

    Constant-volume irreversible single-species disappearance, fixed k and ideal concentration. k is the coefficient in the displayed −dC/dt law; a 2A stoichiometric rate definition may use a different factor. No competing reactions, temperature dependence or fitted rate uncertainty.

    Unit definitions

    Unit selection is independent of language. Each selector contains only units for its physical quantity. Calculations use defined base units internally.

    NIST measurement tables

    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.

    RELATED TOOL · CHEMISTRYArrhenius Temperature Rate Ratio Calculator

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

    RELATED TOOL · REACTION MODELSMichaelis Menten Initial Rate Calculator

    Calculate a non-inhibited single-substrate initial reaction rate from Vmax, Km and substrate concentration.

    RELATED TOOL · MATHEMATICSExponential Growth and Decay Calculator

    Apply an entered constant growth or decay rate to an initial quantity. Compare periodic and continuous models, view a time curve and find doubling time or half-life.

    ADVERTISEMENT

    Reserved advertising space.