Half-Life Calculator with steps

How the Half-Life Calculator Works

Our Half-Life Calculator is designed to help you determine the remaining quantity of a substance over time based on its half-life. Whether you're studying radioactivity, conducting scientific experiments, or simply curious about isotopic decay, this calculator simplifies the process.

What is half life calculation

The half-life of a substance is the time required for its quantity to reduce to half its initial amount. This concept is crucial in various fields, including chemistry, physics, and archaeology.

How to calculate half life remaining quantity

1. Select the isotope from the dropdown menu or enter a custom half-life value. Different isotopes decay at different rates.
2. Enter the initial quantity of the substance and the time elapsed.
3. Click the "Calculate Remaining Quantity" button to see the results.

Equation Used

The calculator uses the following equation to determine the remaining quantity:

Remaining Quantity = Initial Quantity × e^{(-λ × Time Elapsed)}

Where λ (decay constant) is calculated as:

λ = ln(2) / Half-Life

This formula applies exponential decay principles to calculate how much of the substance remains after a given time period.