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There was a sample of 700 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 8.8% each year?

Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams. Write an exponential function showing the relationship between t and y.

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JaeLyn Ross

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4y ago
Updated: 6/7/2024

hydroxides

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Mertie Ferry

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4y ago

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What does the half life of a radioisotope correspond to?

The length of time required for half of a sample of radioactive material to decay


How much of an 800-gram sample of potassium-40 will remain after 3.910000000000 years of radioactive decay?

Approximately 400 grams of the potassium-40 sample will remain after 3.91 years, as potassium-40 has a half-life of around 1.25 billion years. This means that half of the initial sample would have decayed by that time.


What must be true for radioactive dating to be possible with a certain sample?

For radioactive dating to be possible, the sample must contain a measurable amount of a radioactive isotope with a known decay rate. The sample must be isolated from sources of contamination that could affect the accuracy of the dating. Additionally, the sample must have remained a closed system since the radioactive isotopes were incorporated, in order to accurately measure the decay products.


How do you calculate the activity of a radioactive sample?

The activity of a radioactive sample is calculated using the formula: Activity = λ*N, where λ is the decay constant of the isotope and N is the number of radioactive nuclei present in the sample. The unit of activity is becquerel (Bq).


What is the amount of time it takes for three fourthsof a radioactive sample of an isotope of bromine to decay if the half life of the isotope is 16.5 hours?

It takes one half-life for half of the radioactive sample to decay. Since half of the sample has decayed after 16.5 hours, it will take another 16.5 hours for the remaining half to decay, totaling 33 hours to decay three fourths of the original sample.

Related Questions

Best definition of half-life for a radioactive substance?

The half-life of a radioactive substance is the time it takes for half of the atoms in a sample to decay. It is a constant characteristic of each radioactive isotope. After one half-life, half of the original substance will remain, and the other half will have decayed into other elements.


The original sample of a radioactive substance?

Yes, and the question is ... ?


What part of a radioactive sample remains unchanged after 2 half lives?

After 2 half lives, 25% of the original radioactive sample remains unchanged. This is because half of the sample decays in each half life, so after 1 half life, 50% has decayed, and after 2 half lives, another 50% has decayed, leaving 25% unchanged.


A sample of a radioactive substance decayed to 95 percent of its original amount after a year.what is the half life of the substance?

The half-life of a radioactive nuclide when 95% of it is left after one year is 13.5 years. AT = A0 2(-T/H) 0.95 = (1) 2(-1/H) ln2(0.95) = -1/H H = -1/ln2(0.95) H = 13.5


How does half life work in the context of radioactive decay?

In the context of radioactive decay, half-life is the time it takes for half of the radioactive atoms in a sample to decay. This means that after one half-life, half of the original radioactive atoms have decayed, and after two half-lives, three-quarters have decayed, and so on. The concept of half-life helps scientists understand the rate of decay of radioactive substances.


What is the name of the average time needed for half The nuclei and a sample of radioactive substance to undergo radioactive DS our B radioactive substance to undergo radioactive decay?

The average time needed for half of the nuclei in a sample of a radioactive substance to undergo radioactive decay is called the "half-life." This period is a characteristic property of each radioactive isotope and varies significantly between different substances. During one half-life, the quantity of the radioactive material reduces to half of its original amount.


What happens during radioactive dating?

Radioactive dating is carried out with substances which were formed at some unknown point in the past and contained a known proportion of a radioactive isotope of some element. Radioisotopes decay into other elements at a fixed and known rate. So, if you know how much of the radioactive isotope is still left in the sample, then you can work out how long it would have taken for the rest to have decayed into other elements. That gives the age of the sample.


What fraction of a radioactive sample decays after three half lives?

If I take a radioactive sample of 400 moles of an unknown substance and let it decay to the point of three half-lives I would have 50 moles left of the sample. 1/2 of what is left will decay in the next half-life. At the end of that half-life I will have 25 moles left of the unknown substance or 4/25.


How to calculate radioactive decay and its impact on the half-life of a substance?

To calculate radioactive decay, use the formula N N0 (1/2)(t/T), where N is the final amount of substance, N0 is the initial amount, t is the time passed, and T is the half-life of the substance. The impact of radioactive decay on the half-life of a substance is that it represents the time it takes for half of the radioactive atoms in a sample to decay.


What is the biological principle of autoradiography?

Autoradiography is a photograph showing the distribution of a radioactive substance in a chosen specimen. The photographic plate is exposed to radioactive emissions from the specimen. Another term for this principle is radio autograph.


How much radioactive sample will be left at the end of two weeks?

That would depend on the initial amount of the substance, as well as on its half-life.


What does the half life of a radioisotope correspond to?

The length of time required for half of a sample of radioactive material to decay