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How many atoms will be left after 5 half-lives?

How many atoms will be left after 5 half-lives?

Half-life

Number of half-lives elapsed Fraction remaining Percentage remaining
3 1⁄8 .5
4 1⁄16 .25
5 1⁄32 .125
6 1⁄64 .5625

How do you calculate the half-life of a radioactive element?

The time taken for half of the original population of radioactive atoms to decay is called the half-life. This relationship between half-life, the time period, t1/2, and the decay constant λ is given by t12=0.693λ t 1 2 = 0.693 λ .

What has a half-life of 5000 years?

Most living things contain carbon-14, an unstable isotope of carbon that has a half-life of around 5,000 years.

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What fraction of the initial amount of an isotope remains after five half-lives?

6.25\%
Question: After five half-lives, what percentage of the original radioactive isotope remains in a sample? (d) 6.25\% .

How many years is a half-life?

Definition and Formula One of the most well-known applications of half-life is carbon-14 dating. The half-life of carbon-14 is approximately 5,730 years, and it can be reliably used to measure dates up to around 50,000 years ago.

How many atoms would remain after 5 half-lives if you had a sample of 4000 radioactive atoms?

125 radioactive atoms
1. If you had a sample of 4,000 radioactive atoms, how many atoms would remain after 5 half- lives? 125 radioactive atoms.

What is half-life Cycle?

half-life, in radioactivity, the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay (change spontaneously into other nuclear species by emitting particles and energy), or, equivalently, the time interval required for the number of disintegrations per second of a radioactive …

What is the half-life of period?

The amount of time it takes to disintegrate by half an initial amount. For a given reaction, a reactant’s half-life t1/2 is the time it takes for its concentration to reach a value which is the arithmetic mean of its initial and final (equilibrium) value.

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What atom has the shortest half-life?

Uranium-234 has the shortest half-life of them all at 245,500 years, but it occurs only indirectly from the decay of U-238. In comparison, the most radioactive element is polonium. It has a half-life of a mere 138 days. Still, uranium has explosive potential, thanks to its ability to sustain a nuclear chain reaction.

What fraction remains after 4 half-lives?

10.3: Half-Life

Number of Half-Lives Passed Fraction Remaining Percentage Remaining
2 1/4 25
3 1/8 12.5
4 1/16 6.25
5 1/32 3.125

What is the half life of a radioactive isotope?

Each radioactive element has a different half life decay time. The half-life of carbon-10, for example, is only 19 seconds, so it is impossible to find this isotope in nature. Uranium-233 has a half-life of about 160000 years, on the other hand.

What is the half life of uranium-233?

Half-life is defined as the time needed to undergo its decay process for half of the unstable nuclei. Each radioactive element has a different half life decay time. The half-life of carbon-10, for example, is only 19 seconds, so it is impossible to find this isotope in nature. Uranium-233 has a half-life of about 160000 years, on the other hand.

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What is the half-life of carbon-10?

The half-life of carbon-10, for example, is only 19 seconds, so it is impossible to find this isotope in nature. Uranium-233 has a half-life of about 160000 years, on the other hand. This shows the variation in the half-life of different elements. The concept if half-life can also be used to characterize some exponential decay.

What is half life in chemistry?

Half-life is a concept widely used in chemistry, physics, biology, and pharmacology. What is half life? There are stable and unstable nuclei in each radioactive element.