A 50 mg sample of thorium-233 decays to 44 mg after 4 min. a) Determine the half-life of thorium-233. b) How long will it take for this sample to decay to 1 mg?

Q: The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the…

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Q: A certain radioactive material decays at a rate proportional to the amount present. At time ?=0,…

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Q: The half-life of radium-226 is approximately 1620 years. How much time is necessary for a sample…

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Q: The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the…

A: The radioactive element​ carbon-14 has a​ half-life of 5750 years, then the decay constant λ by…

Q: A sample of a newly discovered element, West Virginium, has a half-life of 425 years. How long will…

A: Given half life of element is 425 years t1/2. Initial weight A0 is 803 mg and after decay is 401.5…

Q: If you start with 65 milligrams of Chromium 51, used to track red blood cells, which has a half-life…

A: N(t)=N0e-tln2h N0=Initial amountt=decay timeh=length of half life Initial amount= N0=65 milligrams…

Q: A fragment of bone is discovered to contain 20% of the usual 14C concentration. Estimate the age of…

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Q: d) A population of 100 bacteria decays at a rate of 5% each day How many bacteria, y, will there be…

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Q: The​ half-life of​ carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree…

A: Given that the​ half-life of​ carbon-14 is 5600 years and if a piece of charcoal made from the wood…

Q: A scientist begins with 225 grams of a radioactive substance. After 300 minutes, the sample has…

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Q: An element with mass 730 grams decays by 27.6% per minute. How much of the element is remaining…

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Q: After the release of radioactive material into the atmosphere from a nuclear power plant in a…

A: Given that  To find the how long did the farmers need to wait to use this hay

Q: The rate at which radioactive nuclei decay is proportional to the number of nuclei that are present…

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Q: If a piece of charcoal made from wood of a tree shows only 62% of the carbon 14 expected living in…

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Q: A sample of a newly discovered element, West Virginium, has a half-life of 170 years. How long will…

A: We have to find the time required.

Q: How much should be invested at a rate of 7% coumpounded continuously to produce an amount of $15,000…

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Q: Suppose a sample of a certain substance decayed to 65.8% of its original amount after 300 days. (Ro…

A: Given that the substance decayed to 65.8% of its original amount after 300 days. (a) To determine…

Q: Water is pumped from a tank at constant rate, and no more water enters the tank. If the tank…

A: Given: The amount of water at 3:56 PM is 10452 L and amount of water at 4:12 PM on same day  is 8092…

Q: An element with mass 970 grams decays by 27.7% per minute. How much of the element is remaining…

A: Given that, The mass of the element is 970 grams, which decays by 27.7% per minute. To find: How…

Q: The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the…

A: The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the…

Q: What is the half-life of a radioactive substance if it takes 5 years for one-third of the material…

A: We have to find half life period

Q: A certain substance decays so that each year 92% of the previous year's material is still present.…

A: A substance decay such that each year 92% of the previous year's material still remains. So, 8% of…

Q: The half life of a certain isotope is 6.13 hours. If we have a sample of 5.0 ounces of that isotope,…

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Q: Element X is a radioactive isotope such that every 70 years, its mass decreases by half. Given that…

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Q: An isotope Of thorium has a half-life Of 18.4 days. To the nearest day, how long will it be until…

A: Given half life = 18.4 days

Q: The half-life of the plutonium isotope is 24,360 years. If 10 g of plutonium is released into the…

A: Half life of the plutonium isotope is 24,360 years. If 10g of plutonium is released into the…

Q: if 8 g of a radioactive substance are present initially and 4 yr later only 4 g remain, how much of…

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Q: The half-life of plutonium-241 is approximately 13 years. How much of a sample weighing 4 g will…

A: The half-life of plutonium-241 is 13 years. We have to find how much sample of 4 g will remain after…

Q: An element with mass 490 grams decays by 28.6% per minute. How much of the element is remaining…

A: There is a decay of element at the rate of 28.6% per minute. Initially the mass of element given is…

Q: Of an initial amount of 4000 g of lead-210, how much will remain in 190 years? Lead-210 decays at a…

A: Here initial amount A0=4000g Decaying rate λ= 3.15% = 0.0315 Let amount remains in 190 years= A(t)

Q: The radioactive element carbon-14 has a half life of 5750 years. A scientist determined that the…

A: Given:The radioactive element carbon-14 has a half-life of 5750 years and the bones from a mastodon…

Q: Suppose the half-life of a certain radioactive substance is 20 days and that there are5 grams…

A: Given that, The half-life of a certain radioactive substance is 20 days and that there are 5 grams…

Q: Element X is a radioactive isotope such that every 16 years, its mass decreases by half. Given that…

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Q: A scientist begins with 450 grams of a radioactive substance. After 55 minutes, the sample has…

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Q: An element with mass 820 grams decays by 26.8% per minute. How much of the element is remaining…

A: We have to use exponential decay function to solve the problem

Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that a…

A: The half life is 5750 years. Amount of carbon-14 lost is 28%.

Q: Of an initial amount of 4000 g of lead-210, how much will remain in 130 years? Lead-210 decays at a…

A: Find much much will remain

Q: A sample of bismuth-210 decayed to 33% of its original mass after 8 days.(a) Find the half-life of…

A: Since, we have been given a sample of bismuth-210 decayed to 33%of its original mass after 8…

Q: The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the…

A:

Q: determine how long it will take for 650 mg of a sample of chromium-51, which has a half life of…

A: Half Life-The half life of a substance is thetime taken for half of the substance tobreakdown or…

Q: An element with mass 640 grams decays by 7:3% per minute. How much of the element is remaining after…

A: Given intial mass =640 gmsRate of decay=7.3% per miniutetime =8 minute

Q: An element with mass 310 grams decays by 8.9% per minute. How much of the element is remaining after…

A: Given   mass = 310 gm  Rate = 8.9 %  Time = 19 min

Q: If 12 g of a radioactive substance are present initially and 8 yr later only 6 g​ remain, how much…

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Q: If 16 g of a radioactive substance are present initially and 9 yr later only 8 g​ remain, how much…

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Q: An element with mass 430 grams decays by 27.4% per minute. How much of the element is remaining…

A: We need to find the exponential function representing the decay of the element.

Q: 2. Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100…

A: Let Q  = amount of substance present            dQdt=kQ             integrating on both sides…

Q: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days, the…

A: We have to find the decay rate of the radioactive compound.

Q: Element X is a radioactive isotope such that every 28 years, its mass decreases by half. Given that…

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Q: Element X decays radioactively with a half life of 9 minutes. If there are 760 grams of Element X,…

A: Formula for half life is as below : N(t)=19 gramsN0=760t = ?t12=9 minutes

Q: 4. If caffeine has a half-life of 2 hrs., how many of 140 mg of caffeine remain in Mr. Moreno's…

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