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Half-life in (radio)chemistry is the length of time it takes, on average, for a radionuclide (radioactive nuclide) to decay to something else, and leave one-half of its original mass behind. Half-life is logarithmic, so, after a second half-life, one quarter of the mass remains, etc., making a sequence 1/2, 1/4, 1/8, 1/16, etc.

One equation for half-life - there are several - all the same - is ...

AT = A0 2(-T/H)

... where A0 is the starting activity (or mass), AT is the activity after some time T, and H is the half-life in units of T.

One complication is that many radionuclides decay to other radionuclildes, each with their own half-life. As a result, analysis of half-life requires differentiation between different radionuclides, otherwise the results can be in error.

The reason for the last statement is that activity is defined as the number of disintegration's per unit of time, i.e. one curie of activity is defined as the amount of material that exhibits 3.7 x 1010 disintegration's (or decays) per second, and if you simply count disintegration rate, without regard to energy or other criteria, your results will often be in error.

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12y ago
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12y ago

The equation for half-life is ...

AT = A0 2(-T/H)

... where AT is activity at some time T, A0 is starting activity, and H is half-life in units of T.

If you wanted to solve for H, it is straightforward algebra ...

AT = A0 2(-T/H)

AT / A0 = 2(-T/H)

log2 (AT / A0) = -T/H

H = -T / log2 (AT / A0)

... Remember that log2 (x) = ln (x) / ln (2)

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14y ago

An awful lot of statistical manipulation would be involved in arriving at an answer, but you take a known number of atoms of the element and count how many decays occur over a set time period. Simple maths will give the half-life but statistics would be needed to allow for uncertainty in all of the measurements made and to allow for the randomness of decays.

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9y ago

Using a sample of the element of known size, measure the number of disintegrations happening in a known period of time. These numbers are then plugged into an equation, to calculate half life.

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9y ago

The answer depends on what the question is!

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13y ago

amount of time it takes for half atoms of a radioactive isotope to decay

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14y ago

how many half-lives would it take for a sample of carbon-14 to be reduced to one over thirty two of it's oringinal mass?

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Q: How do you calculate an half life of any element?
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Does half life of any radioactive element decrease when its used?

The half-life can not be changed by any normal means.


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"The radioactive decay of any atom is associated with the emission of a charged particle (alpha or positive or negative beta) from or the capture of an electron by the nucleus."Nucleonics Fundamentals by David B. Hoisington 1959; page 62.


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The rate of decay of a radioactive element is measured by its what?

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What form is commonly found in nature?

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