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CHEMISTRY / CHEMICAL KINETICS

First Order Reaction Time Calculator

Calculate time to reach a target concentration under a first-order rate law. Review the equation, substituted values, assumptions, and result in one guided chemistry workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Calculate time to reach a target concentration under a first-order rate law. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

t=ln([A]0/[A]t)/k

What you provide

What you provide

  • Initial concentration expressed in mol/L, using the same scenario as the other inputs
  • Target concentration expressed in mol/L, using the same scenario as the other inputs
  • First-order rate constant expressed in 1/s, using the same scenario as the other inputs

What you receive

What you receive

  • Elapsed time in s from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

The reaction follows one first-order pathway at constant conditions.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors