How long will it take 70 grams of cobalt-60 to decay to 7 grams? The half-life of cobalt-60 is 5.3 years. Show your work.

Q: In the early 1960s, radioactive strontium-90 was released during atmospheric testing of nuclear…

A: the radioactive decay is a continuous process. Therefore, A=A0ert where A is the amount remaining,…

Q: A certain radioactive substance has a half-life of 38 hr. Find how long it takes for 80% of the…

A: Given that: Half life, t1/2=38 hr

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

A: t=Duration of half life=5.24 years k=Constant C=Mass of Cobalt=100 mg…

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

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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: 6. The radioactive isotope of lead, PB-209, decays at a rate proportional to the amount present at…

A: Let's find time to take 90% of the lead to decay.

Q: You have 10 ounces of a radioactive substance with a half-life of 5 hours. How long will it be until…

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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: You have 500-grams of an unknown radioactive substance that has been determined to decay according…

A: D(t) = 500e-0.001904.tLet substance take x years to become half of the initial ammount.After x years…

Q: The half-life of substance X is 3.5 years.  How long will it take for a 96.0 mg sample of substance…

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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 strontium-90 is 28 years. How long will it take a 40 mg sample to decay to a mass…

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Q: The half-life of the radioactive element tritium is 12 years. Find its decay constant.

A: We have, the half-life of the radioactive element tritium is 12 years. As we know that, The time in…

Q: The amount of carbon 14 remaining in a sample that originally contained A grams is given by C(t) =…

A: The amount of carbon 14 remaining in a sample that originally contained A grams is given bt…

Q: A certain hermit wants to design a reactor using radioactive material A that will be converted into…

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Q: A sample of tritium-3 decayed to 85% of its original amount after 4 years. How long would it take…

A: Given problem:- A sample of tritium-3 decayed to 85% of its original amount after 4 years. How long…

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: A sample of radium metal has a weight of 1.5 mg and a half-life of approximately 6 years

A: sample of radium metal has a weight of 1.5 mg and a half-life of approximately 6 years

Q: Radioactive cesium-137 has a half-life of 30.17 years. How much of an initial amount of 1,000…

A: If N0 is the initial amount and t is the number of years then equation of decay  is given by…

Q: This exercise uses the radioactive decay model. If 250 mg of a radioactive element decays to 190 mg…

A: Given that 250 mg of a radioactive element decays to 190 mg in 24 hours. So, for finding the…

Q: Find the half-life of radioactive substance Radium-226; A(t) = A0e-0.00043t

A: Given, a radioactive substance such that Radium-226; At=A0e-0.00043t.   To solve this, use the…

Q: 2. Suppose that we initially have 500 mg of a radio-active substance as sample. After a year, the…

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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: This exercise uses the radioactive decay model.If 250 mg of a radioactive element decays to 220 mg…

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Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 95% of the…

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Q: 4.) The half-life of strontium-90 is 28 years. Find the rate of decay. How long will it take a 50 mg…

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Q: Radioactive radium has a half-life of 1899 years. If 20g of the substance are present initially,…

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Q: How long does it take for 90% of a given quantity of the radioactive element cobalt-60 to decay,…

A: Radioactive element decay rate.

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: Strontium-90 has a half-life of 29 years. Beginning with a 10 mg sample, find how long it takes for…

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Q: The half-life radium-226 is 1622 years. Find its decay constant.

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Q: A certain radioactive isotope has a half-life of approximately 1750 years. How many years to the…

A: Consider the amount is, A=Pert here, A is the isotope, P is the initial amount and r is the…

Q: 1. Strontium-90, 90Sr, has a half-life of 29 years. a) If 42.5 grams remain after 50 years, what is…

A: The formula for the quantity remaining of a substance after t years is: Nt=N012tt12 Here, t12=…

Q: A radioactive substance has a half life of 175 years. Find the decay constant, r, for this…

A: A radioactive substance has a half life of 175 years

Q: Radon-222 decays at a continuous rate of 17.3% per day. How much will 250 mg of Radon-222 decay to…

A: Radon-222, a noble gas resulting from the decay of naturally occurring uranium-238, is the first…

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: Only 25% of the carbon-14 in a wooden bowl remains. How old is the bowl? (Carbon-14 has a half-life…

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Q: Radium has a weight of 1.5 and a half life of 6 years. What is its weight after 3 years?

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Q: Strontium-90 has a half-life of 25 years. How many years would it take 10 grams of strontium-90 to…

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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: 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: Carbon 14 has a half-life of 5,730 years. How fast is a lump of 80 grams decaying after 100 years?…

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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: The half-life of strontium-90 is 28 years. How long will it take a 60 mg sample to decay to a mass…

A: This can be solved using the following way....

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: The half-life of carbon-14 is 5730 years. How long does it take for 2.1 grams of carbon-14 to be…

A: A(t)=A0(1/2)t/h h is the half life A0 is the initial value

Q: How many years will it take $8,000 to grow to $12,900 if it is invested at 3.25% compounded​…

A: