An unknown radioactive element decays into non-radioactive substances. In 880 days, the radioactivity of a sample decreases by 38 percent. What is the Half-Life of the element?

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

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Q: A wooden artifact from an ancient tomb contains 30 percent of the carbon-14 that is present in…

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Q: A wooden artifact from an ancient tomb contains 45 percent of the carbon-14 that is present in…

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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: At a certain instant, 100 grams of a radioactive substance is present. After 20 years, 99.76 grams…

A: given that 100 gm of a radio active substance is present. after 20 years 99.76 gm remain. we have to…

Q: A wooden artifact from an ancient tomb contains 30 percent of the carbon-14 that is present in…

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

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

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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 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: If a certain substance exponentially decays from 100 grams to 20 grams in 3 years. How much of the…

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Q: If half a certain amount of radium decays in 1600 years. What percentage of the original amount will…

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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: The half life of a radioactive substance is 20 years. If you start with some amount of this…

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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 culture of bacteria obeys the law of natural exponential growth. If 140,000 bacteria are present…

A: We can make it easier for you.

Q: After 2250 years, 25% of a radioactive material remains. If the rate of decay of the material is…

A: Half-life = 0.693/Decay constant(lambda)

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: The half-life of radium in a piece of lead is 1600 years. What percentage of the original amount of…

A: Given that, the half-life of radium in a piece of lead is 1600 years. Note that, the formula for…

Q: If 250mg of a radioactive element decays to 190mg in 12 hours, find the half-life of the…

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Q: A wooden artifact from an ancient tomb contains 25 percent of the carbon- 14 that is present in…

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Q: A wooden artifact from an ancient tomb contains 30 percent of the carbon-14 that is present in…

A: Given, Initial quantity of carbon-14=N(0)= 100% Quantity of C-14 remaining=N(t)= 30% Half-life of…

Q: A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in…

A: We have to find how long ago, to the nearest year, was the artifact made.

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: A wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in…

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Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in…

A: Given:-Carbon contains 60% of its initial value  First we find the vale of decay rate from half time…

Q: A wooden artifact from an ancient tomb contains 35 percent of the carbon-14 that is present in…

A: The question is exponential function based and we can identify it as we are given the half life. We…

Q: The population of a city doubles every 15 years. At this rate, how long will it take the population…

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

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Q: the amount of a given radioactive substance today is 8 grams. After 10 years, the amount remaining…

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Q: 40 grams of radioactive material decays to 35 grams in 20 years. Find the half-life.

A: In this question we need to find the half life of the given radioactive material

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: A wooden artifact from an ancient tomb contains 40 percent of the carbon-14 that is present in…

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Q: A wooden artifact from an ancient tomb contains 35 percent of the carbon-14 that is present in…

A: Radioactive decay

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

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Q: A wooden artifact from an ancient tomb contains 25 percent of the carbon-14 that is present in…

A: For the given wooden artifact which contains 25 % of C-14 half life is 5730 years  Number of years…

Q: A sample of a radioactive substance decayed to 10% of its original amount after 30 years. What is…

A: Given After 30 years substance decayed to 10 % of its original amount

Q: A particular isotope has a half-life of 1 minutes.  If you start with 1 gram of this isotope, how…

A: To determine: A particular isotope has a half-life of 1 minutes.  If you start with 1 gram of this…

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

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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: Radioactive radium has a half-life of approximately 1599 years. What percent of a given amount…

A: A(t)=A012thh is the half lifeA(t) is the amount after t years.A0 is the initial value.

Q: An unknown radioactive element decays into non-radioactive substances.  In 660 days the…

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Q: A wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in…

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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: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in…

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

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Q: If 250 mg of a radioactive element decays to 200 mg in 48 hours, find the half-life of the element.

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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.