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Second-Order Reaction Calculator

Find concentration and half-life for a second-order reaction.

Inputs

Results

Concentration at t0.25mol/L
Half-life20s

Chart

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How to use the second-order reaction calculator

Find concentration and half-life for a second-order reaction. Enter initial concentration, rate constant, time in the fields above; the concentration at t, half-life are computed instantly and plotted on the chart so you can see how the answer changes.

Formula

Concentration at t (mol/L) = 1 / (1 / A0+k × t)
Half-life (s) = 1 / (k × A0)

Variables

  • A0 — Initial concentration (mol/L)
  • k — Rate constant (L/(mol·s))
  • t — Time (s)

Worked example

With initial concentration = 1 mol/L, rate constant = 0.05 L/(mol·s), time = 60 s, the calculator gives concentration at t ≈ 0.25 mol/L; half-life ≈ 20 s.

Frequently asked questions

What is the formula for the second-order reaction calculation?

Concentration at t (mol/L) = 1 / (1 / A0+k × t). Half-life (s) = 1 / (k × A0). Here A0 is initial concentration (mol/L), k is rate constant (L/(mol·s)), t is time (s).

What inputs do I need for the second-order reaction calculator?

You need initial concentration in mol/L, rate constant in L/(mol·s), time in s. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use this calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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