An isotope Of thorium has a half-life Of 18.4 days. To the nearest day, how long will it be until only10% Of the Poriginal amount is left?

Q: The isotope cesium-137 has a half-life of 29.75 years. How long will it take a 100 gram sample of…

A: To determine the time taken for 100 gram sample of cesium-137 to decay to 75 grams.

Q: The​ half-life of radium is 1690 years. If 80 grams are present​ now, how much will be present in…

A: We have given the half life of radium is 1690 years.And the present amount of radium is 80 grams…

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

A:

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

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

A:

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

A:

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

A: Please refer to the image below

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: 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: 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: If a piece of machinery depreciates continuously at an annual rate of 4%, how many years will it…

A: To find: The number of years it will take for the value of machinery to halve. Concept used: The…

Q: A wooden artifact from an archaeological dig contains 70 percent of the Carbon-14 that is present in…

A: Given:wooden artifact=70% of carbon-14half-life of carbon-14 =5730 yearswe know that radioactive…

Q: is

A:

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

A:

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

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 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 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: 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: if 8 g of a radioactive substance are present initially and 4 yr later only 4 g remain, how much of…

A:

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

A:

Q: The half-life of radium is 1690 years. If 10 grams is present now, how much will be present in 50…

A:

Q: The half-life of silicon-32 is 710 years. If 70 grams is present now, how much will be present in…

A: The equation governing mass at any time t will be: m(t) = m0e-kt where k = 0.693 / t1/2 = 0.693 /…

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

A:

Q: If18 g of a radioactive substance are present initially and 4yr later only 9g​remain, how much of…

A:

Q: The half -life of carbon-14 is 5,730 years. Suppose a fossil is found with 20% as much of its…

A: Given that the half-life of carbon-14 is 5,730 years. So, h=half life=5730 Let the initial amount=P=…

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

A: The solution is given below

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: The half-life of radium-225 is approximately 14.9 days. How much of a 15 gram sample of radium-225…

A:

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

A:

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 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: A certain radio isotope has a half-life of 12 years. Find the mass that remains from a 220mg sample…

A: Half life = 12 yrs 220 mg is the initial mass Therefore decay constant = ln2 / half- life

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: An element with mass 490 grams decays 28.6% per minute. How much of the element is remaining after…

A:

Q: An element with mass 430 grams decays by 27.4% per minute. How much of the element is remaining…

A: We need to find the exponential function representing the decay of the element.

Q: The half-life of silicon-32 is 710 years. If 60 grams is present now, how much will be present in…

A:

Q: The half-life of a radioactive material is about 34.2 years. How much of the material is left after…

A:

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

A:

Q: If 12 g of a radioactive substance are present initially and a 4 yr later only 6g remain, how much…

A: Given Total radioactive substance present   After four year only 6g remain

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

A:

Q: The half-life of radium is 1690 years. If 150 grams is present now, how long (to the nearest year)…

A: The half-life of radium is 1690 years. If 150 grams is present now, how long (to the nearest year)…

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.