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Health

Drug elimination by half-life calculator

Fraction of a substance remaining or cleared after a given time, from its half-life.

What this calculator does

Drug elimination by half-life works out fraction of a substance remaining or cleared after a given time, from its half-life. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaFraction remaining = 0.5^(elapsed time / half-life); about 97% is gone after 5 half-lives

The inputs explained

FieldWhat to enter
Half-life (hours)A number, measured in hours. Starts at 6.
Elapsed time (hours)A number, measured in hours. Starts at 12.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with half-life

Every other input is held at the calculator’s starting values while half-life varies. Select any row to load that scenario into the calculator.

How the answer changes with half-life
Half-life (hours)Fraction remainingFraction eliminatedHalf-lives elapsed
36.25%93.8%4.00
4.515.7%84.3%2.67
625.0%75.0%2.00
939.7%60.3%1.33
1250.0%50.0%1.00
1863.0%37.0%0.67