The half-life of carbon-14 is 5730 years. How long does it take for 2.1 grams of carbon-14 to be reduced to 0.1 grams of carbon-14 by radioactive decay?

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

A:

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 carbon-14 is 5730 years. How long will a certain amount of carbon - 14 decay by 90%…

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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: Suppose that some graduate students left 8 grams of a radioactive substance unattended in their…

A: Consider the quantity of a radioactive substance initially present be N0. If the half-life of this…

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 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: 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 carbon-14 is known to be 5720 years. Doctor Frankenstein has 300 grams of…

A: From the given data:

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: The half-life of carbon-14 is about 5730 years. If 1 gram of carbon-14 is present in a sample, how…

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

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

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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: If the generation time is 90 min and the initial population contains 103 cells, how many bacteria…

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

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

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: 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: After 25 years, 60% of a radioactive substance still remains in a 20 gram sample. What is the…

A: Half life of a radio active material is the time required to reduce the initial quantity to its…

Q: A radioactive substance is known to have a half-life of 78 years. Calculate the number of years it…

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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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Q: How much of a radioactive kind of tungsten will be left after 363 days if the half-life is 121 days…

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

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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.