The half -life of carbon-14 is 5,730 years. Suppose a fossil is found with 20% as much of its carbon-14 as compared to a living sample. How old is the fossil?

Q: Suppose a small quantity of radon gas, which has a half-life of 3.8 days, is accidentally released…

A: half life problem

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

A:

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: If there were originally 500 grams of carbon-14 originally, how much carbon-14 would remain after 10…

A: In each half life , amount becomes half of the previous one. It means that, after each half life the…

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: How much of a 500g sample of potassium-42 is left after 62 hours if the half life of potassium-42 is…

A:

Q: The radioactive element polonium-210 has a half-life of 138 days. If you have 100 micrograms of…

A: The half-life equation for radioactive decay is:

Q: An element with mass 730 grams decays by 27.6% per minute. How much of the element is remaining…

A:

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

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

Q: Given that the half-life of radium is 1690 years, how much in milligrams will remain of one gram of…

A:

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: en artifact found in a crypt contains 93 percent of the carbon-14 that is present in living flax. To…

A: Given that a linen artifact found in a crypt contains 93 percent of the carbon-14 that is present in…

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

A:

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

A:

Q: An element with mass 970 grams decays by 27.7% per minute. How much of the element is remaining…

A: Given that, The mass of the element is 970 grams, which decays by 27.7% per minute. To find: How…

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: A wooden artifact from an ancient tomb contains 55 percent of the carbon-14 that is present in…

A:

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: The half life of a certain isotope is 8.5 hours. If we have a sample of 10 ounces of that isotope,…

A: Consider the following information: Half life periodt12=8.5 hours Decay constantλ=ln2t12=ln28.5…

Q: A wooden artifact from an ancient tomb contains 55 percent of the carbon-14 that is present in…

A:

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: 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: 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: A radioactive substance has a half-life of 3000 years. If you start with 100 kg of it, how much will…

A: In 1 half life amount becomes half of its initial value. After n half life it becomes 1/2n of its…

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: 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: If 275 mg of a radioactive element decays to 200 mg in 48 hours, what is its half-life?

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Q: The half - life of Cobalt - 60 is 15 years. How much of an initial 105 g sample will remain after 33

A:

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: How many half lives must have passed for an isotope with a half life of 10 years to decay from 1600…

A:

Q: A toxic radioactive substance in the amount of 7 miligrams per square centimeters is detected in the…

A:

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: Find the half-life (in hours) of a radioactive substance that is reduced by 5 percent in 15 hours.

A:

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

A:

Q: A certain radioactive substance has a half-life of 38 hours. Find how long it takes for 90% of the…

A:

Q: A wooden artifact from an archaeological dig contains 80 percent of the Carbon-14 that is present in…

A: Given that a wooden artifact from an archaeological dig contains 80 percent of the Carbon-14 that is…

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

A:

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 radium is 1690 years. if 50 grams are present now,how much will be present in 520…

A:

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

A:

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

A:

Q: A wooden artifact from an archaeological dig contains 90 percent of the Carbon-14 that is present in…

A: Formula used:

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

A:

Q: The half-life of radioactive radium (226Ra) is 1599 years. What percent of a present amount of…

A:

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

A:

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.