First Order Integrated Rate Calculator

Solve the first-order integrated rate law ln([A]₀/[A]) = k·t for the remaining concentration.

Description

Solve the first-order integrated rate law ln([A]₀/[A]) = k·t for the remaining concentration.

First Order Integrated Rate Calculator: Solve the first-order integrated rate law ln([A]₀/[A]) = k·t for the remaining concentration.

When to use First Order Integrated Rate

Use this chemistry calculator to reproduce a named relationship with explicit quantities and units for study, laboratory planning, or an independent numerical check.

Initial concentration (mol/L)
Initial reactant concentration [A]₀ in mol/L.
Rate constant (1/s)
First-order rate constant in s⁻¹.
Time (s)
Elapsed time.

How First Order Integrated Rate works

Solve the first-order integrated rate law ln([A]₀/[A]) = k·t for the remaining concentration. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.1

Concentration (mol/L)
Concentration [A] after the elapsed time.

Limitations and assumptions

  • Kinetic results assume the selected rate law and constant conditions over the calculation interval. Reaction order, catalyst state, mixing, temperature, competing pathways, and transport limitation must be established independently.
  • Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Alternative or Complementary approaches

Check units and significant figures, compare the result with limiting cases, and use measured or source-specific constants where available. Laboratory, safety, and regulatory decisions require validated methods and appropriate uncertainty analysis.

References

  1. Chemical kinetics — Wikipedia contributors

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