Science Academy
☰✕

Mean Lifetime Calculator

☢ Nuclear & Decay. Use the Mean lifetime formula to find mean lifetime τ, decay constant λ: pick the value you want, type the others, and the answer updates as you go.

τ=1λ\tau = \dfrac{1}{\lambda}
Mean lifetime τ7.215 s

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Mean lifetime τs
Decay constant λ1/s

Worked example

Find the mean lifetime τ when Decay constant λ = 0.1386 1/s.

Using τ = 1/λ: Mean lifetime τ = 7.215 s.

Frequently asked questions

What is the formula for Mean lifetime?

τ = 1/λ.

What do the letters stand for, and what units are used?

Mean lifetime τ in s, Decay constant λ in 1/s.

How do you calculate mean lifetime τ?

Put the values into τ = 1/λ. For example, with Decay constant λ = 0.1386 1/s, mean lifetime τ = 7.215 s.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (mean lifetime τ, decay constant λ) and fill in the others: it rearranges the formula for you.

All chemistry formulas in the Chemistry Formulas