Tests of a bone discovered in a dig at Saint Joseph’s University contained 27% its original amount of carbon 14. Approximate the age of the bone if it is known that the decay constant for carbon 14 is 0.00012.

Q: Radiocarbon C14 has a half-life of 5730 years. How many years will it take for 26%of a sample of C14…

A:

Q: find the decay constant

A: In this question, to find the decay constant by using the formula obtained with the help of the…

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

A:

Q: An exponential function has a decay factor of 0.80. What is the percentage decay rate?   %

A:

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

A:

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

A:

Q: Strontium 90 (Sr-90), a radioactive isotope of strontium, is present in the fallout resulting from…

A: The answer is found in step-2

Q: Strontium 90 (Sr-90), a radioactive isotope of strontium, is present in the fallout resulting from…

A: the amount decreases by (1/2)^nLwhere n is the number of half life yearsso ,(1/2)^n = 1/32solving…

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

A:

Q: carbon-14? The decay​ rate, k, of​ carbon-14 is

A: The general exponential function of decaying is given as: A=A0e-kt where A is present amount Aο is…

Q: Exercise 8: (a) A common type of smoke detector uses Americium-241, approximately 0.27 micrograms.…

A: First, find the equation of decay:   Here the decay is random. The number of Americium-241 decaying…

Q: 6. A sample of tritum-3 decayed to 94.5% of its original amount after a year. (a) What is the…

A: A sample of tritum-3 decayed to 94.5% of its original amount after a year. Note:   Multiple…

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

A:

Q: a function decreases by 5% each year, then the yearly decay factor is?

A: Subtract rate from 1 for decay factor

Q: (a) An archaeological artifact is found to have 45% of its original carbon-14. How old is the…

A: Half life and decay

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

A:

Q: 4.A radioactive substance loses 3% of its substance every 5 years. What is the half-life of this…

A:

Q: The decay constant for a certain drug is k = 0.35 day−1. Calculate the time it takes for the…

A:

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 certain substance decays so that each year 92% of the previous year's material is still present.…

A: A substance decay such that each year 92% of the previous year's material still remains. So, 8% 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: Radioactive C14 undergoes exponential decay with a half-life of 5730 years. What is the decay…

A: The decay constant (λ) of a radioactive nuclide is its probability of decay per unit time. The…

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

A:

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: Carbon 14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as…

A:

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

A:

Q: Determine the initial amount of radioactive substance if after 22 years, the remaining unconverted…

A: To find the initial amount of radioactive substance decay rate and half-life of the substance…

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

A:

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

A: Radioactive decay

Q: Carbon 14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as…

A: A piece of ancient charcoal contains only 23% as much radioactive carbon as a piece of modern…

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: Cobalt-60 has a half-life of 5.24 years. How long would it take a 100 mg. mass to ecay to 2 mg.?…

A:

Q: Carbon 14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as…

A: Consider the provided information that the half-life of C14 is 5715 years and a piece of charcoal…

Q: Carbon 14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as…

A: Given; Half life of 14C = 5715

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 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: 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: in 1991, the body of a man was found melting in the snow of the alps of northern italy. an…

A:

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

A:

Q: Use the exponential decay model, A = A, e kt, to solve the following. The half-life of a certain…

A:

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

A:

Q: Kuwait, located at the head of the Persian Gulf, has one of the greatest population growth rates in…

A:

Q: An exponential function has a decay factor of 0.90. What is the percentage decay rate? %

A:

Q: The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate…

A:

Q: Determine the half-life of the substance that decays from A, to A in time t. A, = 41, A = 16, t = 12…

A:

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

A:

Q: This exercise uses the radioactive decay model. If 250 mg of a radioactive element decays to 180 mg…

A: To find out the half life of this decay

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.