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 Radioactive substance decays exponentially. A scientist begins with 250 milligrams of a…

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Q: If the initial sample is  1.25 g,  what mass of the original iridium‑192 remains after  65  days?…

A: According to the question we have, Initial mass (original mass) of the sample= Mo = 1.25 g Time (t)…

Q: If you accidentally spill phosphorus-32 onto your shoe, how long would it take before 99.9% of the…

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Q: 11. What is true of all nuclear reactions? a. They are exothermic. b. They consist of larger nuclei…

A: Nuclear reactions involve one or more nuclides to be produced by collisions between two atomic…

Q: An igneous rock contains 9.58 x 105 g of U-238 and 2.51 x 10 g of Pb-206, and much, much smaller…

A: Given data: Mass of U-238 = 9.58 x 10-5 gMass of Pb-206 = 2.51 x 10-5 gFormula used:Where λ = decay…

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

A: Radioactive decay follows ln A=ln A∘-K t equation.k for lead-210=3.30×102 years-1now, we have to…

Q: 5. Carbon-11, used in medical imaging, has a half-life of 20.4 min. The carbon-11 nuclides are…

A: Answer: Relation between quantity of radioactive substance and n number of half lives is shown…

Q: O 8. Use a scientific or graphing calculator to solve. Thorium-228 is a radioactive substance that…

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Q: A sample contains 4 grams of carbon (half life 5730 years). How much carbon will remain after 1500…

A: The mass of the sample is = 4 gram The half-life of carbon is = 5730 years The amount of the sample…

Q: Suppose a plutonium-239 nuclide transforms into a curium-242 nuclide by absorbing an alpha particle…

A: plutonium-239 (23994Pu)nuclide transforms into a curium-242 (24296Cm) nuclide by absorbing an alpha…

Q: Tritium, H, is more commonly known as fusion fuel but is itself relatively unstable, with a…

A: Unstable nuclei undergo radioactive decay process by the emission of highly energetic particles ,…

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: Phosphorus‐32 is used to study a plant’s use of fertilizer. It has a half‐life of 14.3 days. Write…

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Q: Phosphorus-32 is radioactive and has a half life of 14.3 days. How long would it take a sample to…

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Q: 6. iodine-131 (tı/2 = 8.02 days) is one possible product of uranium-235 fission and is a major…

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Q: Radioactive iodine (Iodine-131) has a half-life of 8.04 days. How long will it take for 150g of…

A: Given: The half-life of Iodine-131, t12 = 8.04 days. The initial amount of Iodine-131, (N0) = 150 g.…

Q: 6. A rock contains 0.257 mg of lead-206 for every milligram of uranium-238. The half-life for the…

A: Given, Half-life - 4.5 × 109 yr. 1 mg U-238 contains 0.257 mg of Pb-206.

Q: A dinosaur fossil sample has 30% of its original amount of carbon-14 present. Assuming that the…

A: The objective of the question is to calculate the age of the fossil.

Q: Technetium -99 (Tc-99) is the most commonly used radiotracer in medicine. It is used to detect…

A: Decays reactions are first order reactions. Since we know that the relationship between the…

Q: The half life for the decay of carbon-14 is 5.73 × 10³ years. Suppose the activity due to the…

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Q: Plutonium-239, a common product of a functioning nuclear reactor, can be deadly to people exposed to…

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Q: The half life for the decay of carbon-14 is 5.73 × × 10³ years. Suppose the activity due to the…

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Q: The carbon−14 decay rate of a sample obtained from a young tree is 0.390 disintegration per second…

A: Radioactive decay is the process by which an atomic nucleus loses energy by radiation to form stable…

Q: The half life for the decay of carbon-14 is 5.73 x 1 × 10³ years. Suppose the activity due to the…

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Q: You are asked to prepare a sample of iodine‑131 for a radiation treatment. Its half‑life is 8.0197…

A: Radioactivity is a phenomenon that takes place when the isotope of the element has unstable nucleus.…

Q: what is the half-life of plutonium-239 if it takes 14 098 years for 33% of a given sample to decay

A: Radioactive decay follows the first-order kinetics. According to the first-order kinetics, the decay…

Q: Cobalt-60 is radioactive and has a half life of 5.26 years. How long would it take a sample to decay…

A: We have to calculate the time taken.

Q: A 50.0 mg sample of an unknown radioactive substance was placed in storage and its mass measured…

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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.