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Half-Life Calculator

Half-life is the time for half of a substance to decay or be eliminated.

Calculated Result
25

Amount Remaining

Amount Remaining

25

Amount Decayed

75

Fraction Remaining

25%

Half-Lives Elapsed

2.000

25% — Remaining

Calculation Breakdown

  1. Number of half-livesn = elapsed time ÷ half-lifen = \frac{t}{t_{1/2}}
  2. Remaining amountN = N₀ × (1/2)ⁿN=N0(12)nN = N_0 \left(\frac{1}{2}\right)^n

What Is the Half-Life Calculator?

A half-life calculator models how quickly a substance decays over time.

How Does the Half-Life Calculator Work?

It raises one half to the power of the number of half-lives elapsed and multiplies by the start amount.

Half-Life Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

N=N0(12)tt1/2N = N_0 \left(\frac{1}{2}\right)^{\frac{t}{t_{1/2}}}

The amount decays by half for every half-life that passes.

How to Use the Half-Life Calculator

  1. Enter the starting amount, half-life and elapsed time.

Step-by-Step Example Calculation

100 units, half-life 5, after 10

Input Values:

initialAmount:100
halfLife:5
elapsedTime:10
Worked Steps: Two half-lives leave a quarter of the starting amount.

Understanding Your Result

The result shows how much remains and the number of half-lives.

Factors That Affect the Result

  • The half-life and elapsed time set the decay fraction.

When Should You Use This Calculator?

  • Use it for radioactivity, pharmacokinetics and dating.

Assumptions & Limitations

  • Assumes a constant exponential decay with matching time units.

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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