Half-life
Calculator - Exponential decay
Below we have a half-life calculator. A
half-life is the period of time it
takes for a substance undergoing decay to decrease by half.
The formulas below are
used in calculations involving the
exponential decay of, for example, radioactive materials...
Examples - Calculate half-life
Let’s suppose that a well-known substance decomposes in water
into chloride and sodium ions according to the law of exponential
decay. If the
initial amount of the substance is 24 kg and after 10 hours, 14 kg are
left, how
much substance is left after 1 day? How long does it take until 0.25 kg
is
left?
First, we solve for the half-life; second, we solve for the ending
amount;
finally, we solve for the time considered in the formulas.
We can use the calculator like this...
Exponential Decay /
Half-Life
Beginning amount = 24 kg
Final amount = 14 kg
Elapsed time = 10 h
Half-Life =
12.86 h
Beginning amount = 24 kg
Half-life = 12.86 h
Elapsed time = 24 h
Final amount
= 6.5828 kg
Beginning amount = 24 kg
Final amount = 0.25 kg
Half-life = 12.86 h
Elapsed time
= 84.6826 h
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