Chemists working to develop substances for filtering greenhouse gases from the atmosphere have developed a substance with radioactive properties. The original sample had a mass of 5 kg which decayed to 1.5 kg in 5 weeks. The Environmental Protection Agency needs a sample of 100 kg in 3 weeks. What is the initial mass of the sample the chemists need to produce to get 100 kg to the EPA in 3 weeks? Determine an equation to model the decay of this substance and use it to address the question

Q: Uranium-238, 238U, has a half-life of 4.51 x 109 years. How long will it take for 1.0 g of 238U to…

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Q: A human bone uncovered in a burial site in Majorca, Spain by a student working for the pollentia…

A: percentage amount of C- 14 = 5.55% Age Of Human remain = to be calculated

Q: Radioactive decay can be described by the following equation In A = In Ao – kt where Ap is the…

A: Using intergrated rate equations for first order reaction , we will answer the question.

Q: Carbon-14 undergoes nuclear decay and has a half-life of 5,730 years. How many moles will be left…

A: Given :-  initial amount of sample = 50 moles  half life (t½) = 5730 years  To calculate :-  amount…

Q: Na-24 is a radioactive isotope that has a half-life of 15 hours. What percent of the original sample…

A: Radioactive decay follows first order kinetics.  k = 0.693/t0.5 ....(1)  Here, t0.5 = 15 hours…

Q: Thallium-201 is used medically to diagnose heart problems. The half-life of thallium-201 is 72.9…

A: Since the decay reactions are first order reaction. Hence for the first order reactions we can say…

Q: Cobalt-60, used in cancer therapy, decays by beta and gamma emission. The decay constant is 4.18 x…

A: Half-life is the interval of time required for one-half of the atomic nuclei of a radioactive sample…

Q: The radioactive isotope I-131 is used in the treatment of hyperthyroidism. When administered to a…

A: a) time = 72 hoursTo calculate : Percentage of the original amount shipped actually arrives at the…

Q: Cobalt―60 is a radioactive isotope with a half-life of 5.26 years and emits beta particles. i.…

A: Half- life = 5.26 years. Cobalt-60 decays to Nickel-60 plus an electron and an electron…

Q: The carbon-14 decay rate of a sample obtained from a young tree is 0.256 disintegration per second…

A: Decay process is a first order reaction. Therefore we have to put the integrated rate law for first…

Q: Radioactive decay can be described by the following equation In A = In Ao – kt where Ao is the…

A: Almost all radioactive decay follow first order kinetics. Strontium-80 aslo follow first order…

Q: 9. The amount of a radioactive substance that is remaining after t years is given by A(t) = Agekt.…

A: Radioactive decay basically follows the first order kinetics. Formula to calculate rate constant is…

Q: Radioactive decay can be described by the following equation In A = In Ao – kt where Ao is the…

A: Given: The original amount of lead-214 = 31.4 mg The final amount of lead-214 = 14.6 mg Rate…

Q: A radioactive substance decays at a rate proportional to the amount present. If 45 percent of a…

A: Given :   Time (t) = 20 years  Percentage of substance decays = 45 %

Q: NUCLEAR REACTIONS Zinc-62 decays with a half-life of 9.186 hours. 1. Write the balanced nuclear…

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Q: The half life for the decay of carbon-14 is 5.73 x 10° years. Suppose the activity due to the…

A: Here by applying first order disintegration equation ,we can determine the age of artifacts.

Q: Iodine-131 has a half-life of 8 days and undergoes beta decay. If a milk sample contains 3 × 1018…

A: Quantity of radioactive substance after time "t" is can be calculated by the following formula…

Q: Radioactive decay can be described by the following equation In A = In Ao – kt where Ao is the…

A: for first order reaction rate constant In A = In A0 - kt A0 = initial concentration A = remaining…

Q: NUCLEAR REACTIONS Nickel-56 decays with a half-life of 6.075 days. 1. Write the balanced nuclear…

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Q: 17. If it takes 12 half-lives for a radioactive chemical (k = 4.85 x 10-2 day¹) to decay to a level…

A: Half-life is the time taken for half of the radioactive atoms of a specific radionuclide to decay

Q: a substance with a half-life of 23.1049 seconds. you start with 12 mg of the substance (a) write the…

A: The decay of substance follow exponential rule. Half life is defined as the time required by any…

Q: Radioactive decay can be described by the following equation In A = In Ao – kt where Ao is the…

A:

Q: A radioactive element decays at such a rate that after 15 minutes, only 1/10 of the original armount…

A: We will iae intergrated rate equations for first order kinetics to solve this question.

Q: Radioactive nuclide, 90Sr, has a half-life of 30 years. What percent of a sample of 90Sr will remain…

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Q: A sample has a half life of 100 years. If it has been 200 years since it started to decay and there…

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Q: Strontium-90 is a nuclide that is found in radioactive fallout from nuclear weapon explosions. Its…

A: Given :  Half life = 28 years

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

A: According to question,Given data,Initial amount of radioactive material = 50 mg,After time t = 2…

Q: In medical application prior to having an MRI, a patient will be administered a dye containing a…

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Q: 3. A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: According to question, Given data, Initial amount of radioactive material = 50 mg,andAt time t = 2…

Q: A rock had originally 4500 atoms of U-238 and no Pb-206. U-238 decays into Pb 206 with a half life…

A: The age of the rock has to be determined

Q: Strontium-90, a beta emitter, has a half-life of 28.1 yr. If 29.1 mg of 90Sr were incorporated into…

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Q: The radioactive nuclide 235 U decays with at1/2 of 703.8 million years. Calculations reveal that…

A:

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

A: Consider the given information is as follows; Initial amount N0 = 500 mg Amount after 3 Nt years =…

Q: One of the radioactive isotopes used in chemical and medical research is iodine-125, which has a…

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Q: The half-life of a radioactive element is 8 days. How long will it a 1.0 g sample to decay to 0.0625…

A: Radioactive decay is the process of breakdown of radioactive matter. The atomic nucleus is broken…

Q: A radioactive material decays at a rate proportional to its amount. If the material has a half-life…

A: To solve this question, first find out rate constant using half life and then use that to find out…

Q: Radioactive decay can be described by the following equation In A = In Ao – kt where Ao is the…

A:

Q: The half life of the radioactive element ubtonium-31 is 10 seconds. If 80 grams of unobtanium-31 are…

A:

Q: Radioactive decay can be described by the following equation In A = In Ao – kt where Ao is the…

A: Radioactive decay follow first order kinetics

Q: Radioactive decay can be described by the following equation In A = In A, – kt where Ag is the…

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Q: 3. 137Cs has a half-life of 30.2 years. How many years will it take for a 100.0-g sample to decay to…

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Q: 11A and 11B

A: Since the decay rate is proportional to the concentration or mass of carbon Hence d[C]/dt = -K[C]…

Q: Cobalt-60, used in cancer therapy, decays by beta and gamma emission. The decay constant is 4.18 x…

A: Expression for half-life period of radioactive element is given as, t1/2=ln2λλ-Radio active decay…

Q: Radioactive decay can be described by the following equation In A = In Ao – kt where Ao is the…

A: The decay relationship is given by  lnA = lnA0 - Kt  where A = amount of substance remaining after…

Q: Radioactive decay can be described by the following equation In A = In Ao – kt where Ao is the…

A: Given the initial amount of lead-210, Ao = 60.0 mg  time, t = 24.6 years disintegration constant, k…

Q: The radioactive decay of thallium−206 to lead−206 has a half-life of 4.20 min. Starting with 5.60…

A: All radioactive decay follows first order kinetics. So we can use the equation of first order…

Q: A sample of bone is subjected to radiocarbon dating. The current decay rate observed for its…

A:

Q: Radioactive decay can be described by the following equation In A = In Ao - kt where Ao is the…

A:

Writing and Balancing Nuclear Equations

A nuclear equation is a symbolic representation of a nuclear reaction using certain symbols. It is studied in nuclear chemistry and nuclear physics.