The radioactive isotope Carbon-14 has a half-life of 5,730 years. Given 300 grams of C-14, what is the remaining mass (in grams) of the isotope after 250 years have elapsed?

Q: The half-life of strontium-90 is 28 years. How long will it take a 56 mg sample to decay to a mass…

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Q: Determine whether the following statement is true or false, and explain why. The half-life of a…

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

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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: After 5.5 days, a 100 mg sample of radon-222 decayed to 37 mg. (a) Find a formula for m(t), the mass…

A: GIVEN After 5.5 days, a 100 mg sample of radon-222 decayed to 37 mg. We need to find (a) Find a…

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 28.8% per minute. How much of the element is remaining…

A: There is an exponential decay with rate of 28.8%.

Q: The half life of carbon-14 is 5730 years. How long will a certain amount of carbon - 14 decay by 90%…

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Q: During a preliminary survey of an asteroid, chemical analysis indicated that a certain radioactive…

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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: If radio active carbon-14 has a half -life of 5750 years ,what will remain of one gram after 3000…

A: The formula for the half-life is given by Nt=N012tt12 where N(t) is the amount of substance…

Q: A sample of tritium-3 decayed to 94.5% of its originalamount after a year.(a) What is the half-life…

A: A sample of tritium-3 decayed to 94.5% of its original amount after a year. We have to find (a) What…

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: Suppose a nuclear accident releases 50 kilograms of the element Cesium 137. If the half life of…

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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: A 50-mg sample of a radioactive substance decays to34 mg after 30 days. How long will it take for…

A: Given: A 50 - mg sample of a radioactive substance decays to 34 mg after 30 days. To find: The time…

Q: A sample of a newly discovered element, West Virginium, has a half-life of 295 years. How long will…

A: We have to find out t

Q: If 525 mg of a radioactive element decays to 450 mg in 48 hours, what is its half-life?

A: we are using model for radioactive decayN=N0e-λtwhereN0=initial amountN=The amount test of a…

Q: Strontium-90 has a half-life of 29 years. If there are 400 grams of strontium initially, how much,…

A: Strontium-90 has a half-life of 29 years, there are 400 grams of strontium initially.

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 time is necessary for a sample…

A: The exponential formula for decay is given as: A=A0e-λt               ⋯2, where A is future amount,…

Q: Suppose you have 100g of Titanium-44, which has a half-life of 63 years. After how long will only 1g…

A: Initial amount=P=100  Half life= H= 63 years  Final amount= A= 1  Time= t years Using the half-life…

Q: If 275 mg of a radioactive element decays to 200 mg in 48 hours, what is its half-life?

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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: 2. Suppose a nuclear accident releases 50 kilograms of the element Cesium 137. If the half life of…

A: Given- Intial amount of Cesium-137 is 50 kg and half life is 30 years. To find- The amount after 30…

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

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Q: If18 g of a radioactive substance are present initially and 4yr later only 9g​remain, how much of…

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Q: How many half lives must have passed for an isotope with a half life of 10 years to decay from 1600…

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Q: The half-life of strontium-90 is 28 years. How many years will it take a 56 mg sample to decay to a…

A: Given : Half -life of strontium-90 is 28 years . T1/2 = 28 years

Q: The half -life of carbon-14 is 5,730 years. Suppose a fossil is found with 20% as much of its…

A: Given that the half-life of carbon-14 is 5,730 years. So, h=half life=5730 Let the initial amount=P=…

Q: The half-life of strontium-90 is 28 years. How long will it take a 44 mg sample to decay to a mass…

A: We can solve this as follows:

Q: Assume a substance has a half-life of 11 years and the initial amount is 133 grams.How long will it…

A: If A0 is initial amount present and T is half -life of the substance. Then the amount of substance…

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: A breeder reactor converts relatively stable uranium-238 into the isotope plutonium-239. After 15…

A: Given:             dAdt=k 0.043% of total amount has disintegrated :              =100-0.043%…

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

A:

Q: Strontium-90 is a radioactive isotope with a half-life of 29 years. Strontium-90 is a major…

A: The half-life , T12 , is calculated using the formula, T12=ln 2λ , where, λ is the decay constant.…

Q: Suppose a radioactive substance has a half-life of 1000 years. What fraction will be leftafter 1000…

A: Given that the half life is 1000 years. This means 1/2 of the the original amount is left after 1000…

Q: Thorium-227 has a half-life of 18.4 days. How many days will a 100mg sample take to decay to 12.5mg?

A: Here, we need to find how many days will a 100mg sample of Thorium-227 take to decay to 12.5mg.

Q: A 50 mg sample of thorium-233 decays to 44 mg after 4 min. a) Determine the half-life of…

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Q: A sample of radium has a weight of 1.5mg and a half-life of approximately 6 years how much of the…

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Q: A tumor is injected with 0.7 grams of Iodine-125, which has a decay rate of 1.15% per day. To the…

A: The exponential function A = P * (1 - r)t  where A is the final amount and P is your inital amount.…

Q: After 15 years, one fourth of the initial mass of radioactive substance has decayed. a) Find the…

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Q: The half-life of Plutonium-241 is 9 years. How much of an initial 159 g sample will remain after 38…

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Q: Of an initial amount of 7000 g of lead-210, how much will remain in 180 years? Lead-210 decays at a…

A: Given that: Initial amount of lead, P0=7000gRate of decay, k=3.15%per year.

Q: If 12 g of a radioactive substance are present initially and a 4 yr later only 6g remain, how much…

A: Given Total radioactive substance present   After four year only 6g remain

Q: Element X decays radioactively with a half life of 8 minutes.If there are 980 grams of Element X,…

A: We have to find the time