Formula
This calculator uses the equation below. Use it as a quick reference when checking setup before solving.
ln[A]_t = ln[A]_0 − k tChemical Kinetics
Integrated First-Order Rate Law Calculator
Compute Integrated First-Order Rate Law using ln[A]_t = ln[A]_0 − k t.
ln[A]_t = ln[A]_0 − k t
Run this calculator
Leave a nullable field blank to solve for it.
Variable glossary
Initial Concentration (initial_concentration)
Input variable 'initial_concentration' for Integrated First-Order Rate Law. Set one variable to null to solve for it.
K (k)
Input variable 'k' for Integrated First-Order Rate Law. Set one variable to null to solve for it.
Time (time)
Input variable 'time' for Integrated First-Order Rate Law. Set one variable to null to solve for it.
A (A)
Result variable 'A' for Integrated First-Order Rate Law. Set to null (or omit) to compute this value.
Worked example
Try these sample values to validate the setup, then replace inputs with your own conditions.
- initial_concentration: 0.8
- k: 3
- time: 5
Frequently Asked Questions
What does the Integrated First-Order Rate Law calculator solve?
It solves Integrated First-Order Rate Law problems in chemical kinetics using your provided inputs and computes unknown values when nullable fields are left blank.
Do I need to convert units before using this tool?
Use the unit toggles where available (for example K/C and L/mL). ChemGenius converts values to the calculator's base units automatically before solving.
Can I save this result in my workflow?
Yes. After computing a result, you can continue into ChemGenius workflows like protocol drafting or notes to keep your calculation context attached to downstream work.