# How to Calculate Radioactive Decay with Half-Life

## What is the formula to calculate the mass of a radioactive substance after a certain time period?

How does the half-life of a radioactive substance affect the remaining mass over time?

## Formula for Calculating Radioactive Decay with Half-Life:

The formula to calculate the mass of a radioactive substance remaining after a certain time period is:

mass remaining = initial mass x (1/2)^(t/half-life)

Where t is the time that has elapsed, half-life is the half-life of the radioactive substance, and initial mass is the original mass of the substance.

## Effect of Half-Life on Remaining Mass:

The remaining mass of a radioactive substance is affected by its half-life. Half-life is the time taken for half of the original mass to decay. After one half-life, half of the remaining mass will decay, and so on.

Radioactive decay is a fascinating phenomenon that allows scientists to determine the age of materials and understand the behavior of radioactive substances. Understanding how to calculate the remaining mass of a radioactive substance after a certain time period is crucial in various scientific fields.

By using the formula for radioactive decay with half-life, we can accurately predict the amount of a substance that will remain after a certain amount of time has passed. This formula takes into account the initial mass of the substance, the time elapsed, and the half-life of the substance.

Half-life plays a significant role in determining the rate at which a radioactive substance decays. The shorter the half-life, the faster the decay rate, and vice versa. It provides valuable insights into the stability and behavior of radioactive elements.

Next time you encounter a question involving radioactive decay and half-life, remember the formula and the role that half-life plays in determining the remaining mass of a substance. It's a fascinating concept that continues to intrigue scientists and researchers worldwide.