A breeder reactor converts uranium-238 into an isotope of plutonium-239 at a rate proportional to the amount of uranium-238 present at any time. After 10 years, 0.03% of the radioactivity has dissipated (that is, 0.9997 of the initial amount remains). Suppose that initially there is 190 pounds of this substance. Find the half-life. (Round your answer to the nearest whole number.)

Q: Suppose a sample of a certain substance decayed to 73.2% of its original amount after 300 days.…

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Q: (a) A radioactive substance has a half-life of 20 years. If 8 mg of the substance remains afte 100…

A: We will use radioactive decay formula ..

Q: Complete the table shown to the right for the half-life of a certain radioactive substance. ...…

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Q: c. A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: Sol

Q: Radium-221 has a half-life of 30 sec. How long will it take for 83% of a sample to decay?

A: If Ao is initial amount of Radium-221. substance, h is half-life of substance and t is elapsed time.…

Q: The half-life of Radium-226 is 5 years. How much of an initial 170 g sample will remain after 22…

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Q: Suppose a sample of a radioactive substance weighs 30 mg. One year later, the sample weighs 27.5 mg.…

A: Since, it is given that a sample of substance weighs 30 mg. After one yearlater the sample weighs…

Q: The decay rate, k, for a particular radioactive element is 2.4%, where time is measured in years.…

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Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

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Q: Radium decomposes at a rate proportional to the present amount. The half life of Radium is 1600…

A: Given that radium decomposes at a rate proportional to the present amount. So we can write

Q: f the half-life of cesium-137 is 30 years, find the decay constant, r. (Round your answer to nine…

A: The relation between the half-life and decay constant is given by: t1/2=ln2k Given: t1/2=30 years

Q: At the beginning of an experiment, a scientist has 120 grams of radioactive goo. After 210 minutes,…

A: Here Given for the Radio active material  Initial weight = G0=120 gms And G(210) = 15 gms

Q: 10. Cobalt-60 has a half-life of 5.42 years (a) Find the mass that remains from a 100-mg sample…

A: The given half life t1/2= 5.42 years

Q: round

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Q: Strontium-90 is a radioactive substance that decays according to the following function, where yo is…

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Q: . Radioactive Radon After 3 days a sample of radon-222 has decayed to 58% of its original amount.…

A: Given, mass of radon-222 decayed 58% of original amount m(t)=m(3)=0.58m0 0.58m0=m0e3ke3k=0.58 take…

Q: At the beginning of an experiment, a scientist has 372 grams of radioactive goo. After 195 minutes,…

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Q: A sample of bacteria is decaying according to a half - life model . If the sample begins with 500…

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Q: e half-life of Cobalt-60 is 6 years. How much of an initial 121 g sample will remain after 34 years?…

A: The equation for this can be giaven as:CF = Ci (12)t6 CF→Cobalt remains after t timeCi→Cobalt…

Q: This exercise uses the radioactive decay model, The half-life of strontium-90 is 28 years. How long…

A: Use radioactive law

Q: At the beginning of an experiment, a scientist has 188 grams of radioactive goo. After 225 minutes,…

A: Consider the given: Initial amount of radioactive goo,G0 = 188 gAfter 225 minutes, Final amount of…

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

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Q: c. A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: let amount of material present at any time t be p(t) let p0 be the intial  amount of material at…

Q: Find the half-life of radioactive substance Plutonium-241; A(t) = A0e-0.053t

A: To get the initial mass of the substance, put t=0. A(0)=A0 e-0.053 0=A0 e0=A0 The half-life of the…

Q: An initial sample of 258 g of a radioactive substance decays according to the function -0.022t A(t)…

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Q: An initial amount of 100 g of the radioactive isotope thorium-234 decays according to Q(t) =…

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Q: Radium decomposes at the rate proportional to the present amount. If the half- life is 1600 years,…

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Q: At the beginning of an experiment, a scientist has 128 grams of radioactive goo. After 105 minutes,…

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Q: At the beginning of an experiment, a scientist has 372 grams of radioactive goo. After 195 minutes,…

A: In the question we have to find half life and other parts too.

Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

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Q: Cobalt-60 has a half-life of 5.24 years. How long would it take a 100 mg. mass to ecay to 2 mg.?…

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Q: Q5: A sample contains 1 gram of Radium. Will more than 0.5 gram of Radium remain after 1000 year?…

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Q: A radioactive substance decays according to the following function, where y, is the initial amount…

A: Given radio active substance decay is represented by following function,  y = y0 e-0.0645t  Where y0…

Q: A sample of a radioactive substance decayed to 94.5% of its original amount after a year. (Round…

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Q: Radium-221 has a half-life of 30 s. How long will it take for 95% of a sample to decay?

A: Given that Radium-221 has a half life of 30 seconds. We need to calculate how long will it take for…

Q: The amount of the radioactive element Pragelium present in a sample can be calculated using a model…

A: Given A=A0ekt, and t1/2=13, to find k=?

Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

A: Given problem:- The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount…

Q: a radioactive element decays according to the fuction A(t)= A0 e-0.0319t, where t is in years. a. if…

A: a. amount of the element which would remain after 5 years is 426 grams b. the half-life of the…

Q: An initial amount of 100 g of the radioactive isotope thorium-234 decays according to Q(t) =…

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Q: Radioactive Radium Radium-221 has a half-life of 30 s. How long will it take for 95% of a sample to…

A: For decay of radioactive element                 Half life = ln 2decay constant         t12  = ln 2λ…

Q: This exercise uses the radioactive decay model. The half-life of strontium-90 is 28 years. How long…

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Q: - Cobalt-60 has a half-life of 5.24 years. a. Find the mass that remains from a 100-mg sample after…

A: To find the mass that remains from 100 mg sample after 30 years and time required to reduce the…

Q: An initial amount of 100 g of the radioactive isotope protactinium-230 decays according to the…

A: Given:Q(t)=100e-0.03984t

Q: An initial amount of 100 g of the radioactive isotope thorium-234 decays according to Q(t) =…

A:

Q: A sample of bacteria is decaying according to a half-life model. If the sample begins with 500…

A: The decay function is: P(t)=P0ekt Given P0=500. So, P(t)=500ekt Now given that P(14)=100. So, the…

Q: suppose a sample of radioactive substance weighs 40mg. one year later, the sample weighs 25.5mg.…

A: We have to find  the half-life of given substance.

Q: A certain drug is eliminated from the bloodstream with a​ half-life of 32hours. Suppose that a…

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Q: The decay rate, k, for a particular radioactive element is 1.9%, where time is measured in years.…

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Q: This exercise uses the radioactive decay model. If 250 mg of a radioactive element decays to 180 mg…

A: To find out the half life of this decay

Q: This exercise uses the radioactive decay model. After 3 days a sample of radon-222 has decayed to…

A: We know that Given that it takes that 3 days to decay to 58% that means AA0=58100 for t=3 days Then…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.