he radioactive isotope gallium 67 has a biological half-life of 36 hours. If re start with 100 milligrams of the isotope, how many milligrams will be eft after 30 hours?

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: The half-life of Radium-226 is 10 years. How much of an initial 138 g sample will remain after 49…

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

A:

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

A: It is given that the half-life of the plutonium isotope is 24,360 years. Use formula, an exponential…

Q: The radioactive isotope Carbon-14 has a half-life of 5,730 years. Given 300 grams of C-14, what is…

A: topic - exponential function

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: 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: Yttirum-90 has a half-life of 64.10 hours. Given an initial mass of 622 grams of the sample, how…

A: Given information Half life t12=64.10 hours And the initial mass m0=622 grams We have to find the…

Q: Yttirum-90 has a half-life of 64.10 hours. Given an initial mass of 659 grams of the sample, how…

A: Half-life is the time required for a quantity to reduce to half of its initial value. The term is…

Q: The half-life of radium is 1690 years. If 10 grams is present now, how much will be present in 100…

A: Half life of radium is 1690 years Present mass = 10 grams Mass at 100 years from now is to be…

Q: The decay constant for the radioactive element strontium 90 is l = .0244, where time is measured in…

A: Definition used -                            Decay equation -…

Q: of a radiooctive substonce decayed to 93.5% of its original sample amount after oyear What is the…

A: we need find half life substance k=? and t=?

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: Most smoke detectors contain a tiny amount of Americium-241, which is an artificially produced…

A: Assuming that the radioactive decay follows exponential distribution, the quantity of substance…

Q: The half-life of Cesium-137 is 30.7 years. How long will 200 grams of Cesium-137 take to decay to…

A: Given data The half-life of the cesium-137 is t1/2 = 30.7 years. The initial amount of the…

Q: Yttirum-90 has a half-life of 64.10 hours. Given an initial mass of 551 grams of the sample, how…

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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,…

A:

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

A:

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: The half-life of Carbon-14 is 7 years. How much of an initial 131 g sample will remain after 45…

A:

Q: The half-life of carbon-14 is 5730 years. How long does it take for 3.9 grams of carbon-14 to be…

A: h=5730 years. x=final amount=1.7 grams. y=initial amount=3.9 grams. t=h(ln(x/y))/ln(1/2)…

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: 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 radium-226 is approximately 1620years.a. How much of a sample weighing 4 g will…

A: For a radioactive material, we have N(t)=N012tt1/2 Where N(t)=quantity of the material remaining.…

Q: An isotope has a half-life of 98 years. How much of a 16-gram sample is left after 150 years?

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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: The amount of a radioactive isotope present in a certain sample at time t is given by…

A: Solve the following

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: 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​ half-life of radium is 1690 years. If 40 grams are present​ now, how much will be present in…

A:

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

A:

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…

A:

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

A: We know that, N(t)= N(0)*(1/2)t/(t1/2) N(t) = quantity of the substance remaining N(0) = initial…

Q: The half-life of Carbon-29 is 1300 years. If 15 grams are present now, how much will be present in…

A: Let A(t) be the amount of Carbon-29 remaining in t years, then

Q: The half-life of plutonium-241 is approximately13 years.a. How much of a sample weighing 4 g will…

A: The half-life of plutonium-241 is 13 years. A(t)=A0e-k tA02=A0e-k×13…

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

A:

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

A:

Q: If 16 g of a radioactive substance are present initially and 5 yr later only 8 g​ remain, how much…

A:

Q: Element X decays radioactively with a half life of 12 minutes. If there are 690 grams of Element X,…

A:

Q: A radioactive isotope, selenium, used in the creation of medic has a half-life of 119.77 days. If…

A: In order to calculate the mass of selenium after 20 days, we need to use the formula of radio active…

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: The​ half-life of radium is 1690 years. If 40 grams are present​ now, how much will be present in…

A:

Q: Yttirum-90 has a half-life of 64.10 hours. Given an initial mass of 750 grams of the sample, how…

A: See the detailed solution below.

Q: A certain radioactive substance has a half-life of 38 hour. Find how long (in hours) it takes for…

A:

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

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.