Perform fast calculations with our user-friendly online calculator! Conveniently crunch numbers and solve equations instantly. Ideal for quick math tasks, our tool simplifies your daily computations effortlessly. Try our intuitive calculator for accurate results on the go!
Use our Radioactive Decay Calculator to find half-life, decay rate, remaining mass, and activity. Get clear steps and simple examples.
| Formula | Solves For |
|---|---|
| N(t) = N₀ × e^(−λt) = N₀ × (1/2)^(t/T½) | Remaining radioactive quantity after elapsed time |
| λ = ln(2) / T½ | Decay constant from half-life |
| t = ln(N₀/N(t)) / λ | Elapsed time from initial/remaining quantity |
| A(t) = A₀ × e^(−λt) | Remaining radioactive activity (decays/second, distinct from mass) |
Want to know how much of a radioactive sample remains over time? Our Radioactive Decay Calculator makes it easy. Enter the starting amount, half-life, and time. Then get your result in seconds.
This tool helps students, teachers, and science fans solve decay problems with ease. You can find the remaining mass, decay rate, and amount lost. It also shows how much of a sample has decayed.
Radioactive decay happens when an unstable atom breaks down. It releases energy or particles as it changes. Over time, the sample has fewer atoms of its first type.
Think of it like a block of ice that melts bit by bit. But radioactive decay follows a set rate. Each isotope has its own half-life.
The main radioactive decay calculator equation is:
N(t) = N₀ × e^(−λt)
Here, N(t) means the amount left after time t. N₀ is the starting amount. λ is the decay constant, and t is the time that has passed.
You can also use the half-life formula:
N(t) = N₀ × (1/2)^(t/T½)
In this formula, T½ means the half-life. It is the time needed for half of the atoms to decay.
The decay constant formula is:
λ = 0.693147 ÷ T½
These formulas work for radioactive mass, atom count, and activity. Keep the time units the same for an accurate result.
Follow these five simple steps to get your result.
Enter the starting amount. Add the mass or atom count of your sample.
Enter the half-life. Choose the right time unit for your isotope.
Add the elapsed time. Enter how long the sample has been decaying.
Click Calculate. The tool uses the right decay formula to solve the problem.
Check your result. View the amount left, amount lost, and decay rate.
This radioactive decay calculator with steps helps you check your work. It can also help you learn how decay changes over time.
Suppose you have 100 grams of an isotope. Its half-life is 5 years. You want to know how much remains after 10 years.
First, use the half-life decay calculator formula:
N(t) = N₀ × (1/2)^(t/T½)
Now add the known values:
N(t) = 100 × (1/2)^(10/5)
N(t) = 100 × (1/2)²
N(t) = 100 × 0.25
Amount remaining = 25 grams
The sample has lost 75 grams. So, 25% remains, while 75% has decayed.
A radioactive decay calculator helps solve isotope decay problems in chemistry and physics. Students can use it to study half-life and nuclear change.
A radioactive decay calculator in Excel can also solve these problems with built-in formulas. For quick results, an online tool saves time and cuts down on manual errors.
A dose decay calculator may help estimate how activity changes over time. Yet dose and activity are not the same. Actual dose needs more data, such as the source, distance, and exposure time.
Our Simple Decay Calculator makes decay math clear and quick. Use it to find the remaining amount, half-life, decay constant, or elapsed time. It works well for study and basic estimates.
For medical, lab, or safety work, check your result with a qualified expert. Always use the right isotope data and units.
It is a tool that finds how much of a radioactive sample remains over time. It uses the decay constant or half-life.
Use N(t) = N₀ × e^(−λt). You can also use the half-life formula when you know the half-life.
It finds the amount left after one or more half-lives. Each half-life cuts the remaining amount in half.
Yes, if you know the isotope's half-life and use the right units. Each isotope has its own decay rate.
Yes, if the formula, input values, and units are correct. Check the result against a trusted source for critical work.
Decay tracks how a sample's atoms or activity change over time. Dose estimates the energy absorbed by a person or object. It needs more details than decay alone.