Half Life Calculator

Half Life Calculator calculator can be used to calculate the remaining quantity of a substance over time based on its half-life, useful in chemistry, physics, and pharmacology applications.

Input Parameters

Calculation Results

Calculation Formula

N(t) = N₀ × 2-t/t½

Where:
N(t) = Remaining quantity at time t
N₀ = Initial quantity
t½ = Half-life
t = Time passed

Calculation Results

Remaining Quantity (N(t)): -
Quantity Decayed: -
Percentage Remaining: -

Half Life Calculator Calculator Usage Guide

Learn how to use the Half Life Calculator calculator and its working principles

How to Use the Calculator

  1. Enter the Initial Amount (A₀) - the original quantity of the substance you started with.
  2. Enter the Half Life (t½) - the time required for half of the substance to decay.
  3. Enter the Time Passed (t) - the duration that has elapsed since the start.
  4. Click the Calculate button to see the results.
  5. Use the Reset button to clear all fields and start over.

Understanding Half Life

The half-life is the time required for a substance to reduce to half of its initial value. This concept is crucial in various fields:

  • Chemistry: Used to determine the age of radioactive isotopes.
  • Pharmacology: Helps calculate drug concentration in the body over time.
  • Environmental Science: Used to model pollutant decay in ecosystems.

Example Application

Suppose you have 100 grams of a radioactive substance with a half-life of 5 days. If you want to know how much remains after 15 days:

  1. Initial Amount (N₀) = 100 grams
  2. Half Life (t½) = 5 days
  3. Time Passed (t) = 15 days
  4. Remaining Quantity = 100 × 2-15/5 = 100 × 2-3 = 100 × 0.125 = 12.5 grams