The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 135 grams of a radioactive isotope, how much will be left after 3 half-lives?

Q: The half life of an unknown substance is 1 week. How much of its nuclei were disintegrated after 10…

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Q: A radioactive sample has a half-life of 10 minutes. What fraction of the sample is left after 40…

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Q: A sample starts with 1000 radioactive atoms. How many half lives have elapsed when 750 atoms…

A: Given, Initial number of atoms ,N0 = 1000 At time t , number of atoms , N(t) = 1000-750 = 250  N(t)…

Q: A radioactive sample has a mass of 999 grams. How much remains after 2 half-lives?

A: If the amount of a radioactive sample is N0 initially, then after 1st half live of the sample, it…

Q: A radioactive material has a half life of 4.6 minutes.  After 8.1 minutes, which percentage of the…

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Q: Certain radioactive substances has a half-life of 20 min. If there is 56 lbs of it right now, how…

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Q: A radioactive material has a half-life of eight days. How long will it take for the material to be…

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Q: A radioactive substance has a half-life of 10 days. If there is initially 500 grams of the…

A: Half life T1/2 =10 days Initially substance N0= 500 gramstime elapsed t=30 days

Q: Three quarters of nuclie in a given radioactive sample decays in 2 weeks. What is the half life of…

A: we have to find half life of the sample, in the given question.

Q: A radioactive element has an original mass of 150 grams. How much would be left in the parent atom…

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Q: How long will it take for an amount of Radon-223 to decay to only 60% of the original amount? The…

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Q: A radioactive material disintegrate at such a rate that after 3.4 seconds, only 79% of the original…

A: time = 3.4 seconds Let the original amount of substance = Nofinal amount of susbstance = N It is…

Q: A radioactive material is disintegrating in such a way that after 24 seconds, there is only 20.5% of…

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Q: Radium decomposes at a rate proportional to the amount present. In 100 years, 100 mg of radium…

A: Given: The time is t=100 yr. The initial amount of radium is No=100 mg. The final amount of radium…

Q: An isotope of the element erbium has a half-life of approximately 12 hours. Initially there are 30.1…

A: When a nucleus destroys a part of its mass and emits radiation is called radioactivity. The rays…

Q: If 4 half lives have elapsed for a sample containing a radioactive isotope, and the half life of…

A: Given  Half life of the given radioactive isotope t1/2= 5 million years    4 half lives have elapsed…

Q: A radioactive isotope has a half-life of 51.5 days. What fraction of the isotope remains after 413…

A: We have: The half-life is t1/2=51.5 days Calculating the first-order reaction constant k as…

Q: The half-life of a radioactive isotope is 140 d. How many days would it take for the decay rate of a…

A: Given:  Half life of the isotope, T = 140 days

Q: 20.0 hours after being ingested 74.5 % of the original radioactive atoms have decayed or been…

A: Given,The amount of particles initially = N0The particles present after 20 hours, Nt = 0.255 ×N0…

Q: A radioactive nuclide has a half-life of 10 seconds. Beginning with 256 grams of the material, how…

A: Given: Half life period t1/2 = 10 sec Initial concentration N0 = 256 g Time = 1 min = 60 sec = 6…

Q: If a radioactive isotope has a half-life of 3 minutes, how much of the initial sample will be left…

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Q: A radioactive element has a half-life of 3 days. The initial amount of that element is 1024 grams.…

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Q: Technetium-99m is a radioactive isotope with a half-life of 6 hours. If a sample of was originally…

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Q: A radioactive sample of mass 1.0 mg has a half-life of 1.0 h, which means that about 50% of the 1-mg…

A: A radioactive sample always decays through spontaneous disintegration process. The half life of a…

Q: A dose of 8.60 mCi of a radioactive isotope is injected into a patient. The isotope has a half-life…

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Q: The half-life of a radioactive isotope is 6.02 hours.  25.0 Grams of this isotope is needed for an…

A: Given the halt life of the isotope  The decay constant is

Q: A radioactive sample took 10 years to reach 25% of its initial amount. Estimate the half life of the…

A: Radioactive decay is the process by which unstable nuclei emit radiation and become stable. The…

Q: A 500 g of radioactive sample has a half life of 2.5 years. How much of the initial sample will be…

A: Radioactive decay is exponential in nature and can be written as, m=m0e−0.693(tt12) Here m0 is the…

Q: Find an exponential model for the data with variable M corresponding to remaining mass (in grams)…

A: At t= 0 , M = 1 gram if we put t= 0 in all the equations , only option a) and c) satisfies the…

Q: Q3(a) The half-life of a particular radioactive isotope is 6.5 h. If there are initially 48x 1019…

A: To Solve this question we will use the FormulaSince we know,