yCalculator

Half-Life Calculator

Last updated: April 2026

Find remaining quantity

Remaining quantity

6.25 grams

Decayed

93.75

Fraction remaining

0.0625

% remaining

6.25%

Half-lives elapsed

4

Decay curve

ttimequantity

Decay table

Half-life #TimeRemaining%
00 days100 grams100%
15 days50 grams50%
210 days25 grams25%
315 days12.5 grams12.5%
420 days6.25 grams6.25%
525 days3.125 grams3.125%
630 days1.5625 grams1.5625%
735 days0.78125 grams0.78125%
840 days0.390625 grams0.390625%
945 days0.195313 grams0.195313%
1050 days0.097656 grams0.097656%
Step-by-step working
  1. Step 1: number of half-lives = t / T1/2 = 20 / 5 = 4.
  2. Step 2: N(t) = 100 x (1/2)^4.
  3. N(t) = 100 x 0.0625 = 6.25.
  4. Step 3: decayed = 100 - 6.25 = 93.75.

What is half-life?

Half-life is the time it takes for half of a substance to decay or be eliminated. After one half-life, 50% remains; after two, 25% remains.

Radioactive decay explained

Radioactive decay is exponential, not linear. The same fraction decays in each equal half-life period, so the quantity approaches zero but never reaches it exactly in the model.

Half-life in medicine

Drug half-life describes how long it takes the body to remove half of a dose. It helps clinicians understand dosing intervals and how long a medicine remains active.

What does this mean?

This calculator is designed to help you understand the likely number before you make a decision or start an application.

Your result should be checked against official UK guidance, especially if your circumstances include dependants, exemptions, prior leave, or a complex immigration history.

Treat the figure as a planning tool rather than legal advice. Where the answer affects an application deadline or major payment, speak to an authorised adviser.

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