1000mg of P with the half life of 14.286 days, how many days would it take to decay to 100mg

Q: An unknown radioactive element decays into non-radioactive substances. In 1000 days the…

A: Radioactive elements follow the law of natural decay. That means the rate of decay of a radioactive…

Q: After 5.5 days, a 100 mg sample of radon-222 decayed to 37 mg. (a) Find a formula for m(t), the mass…

A: GIVEN After 5.5 days, a 100 mg sample of radon-222 decayed to 37 mg. We need to find (a) Find a…

Q: The half-life of a radioactive substance is 15 days. If we started with 20 g, how much of the…

A:

Q: antity of U-232 remains after 30 yea

A: The quantity remains after 30 years is 75%. It is given that AA0=0.75 , t=30 years. The equation…

Q: The half-life of the radioactive element unobtanium-29 is 10 seconds. If 80 grams of unobtanium-29…

A:

Q: The half-life of radium is 1690 years. If 40 grams are present now, how much will be present in 690…

A: Given: The half-life of radium is 1690 years. if 40grams are present now.

Q: The half-life of Radium-226 is 1590 years. If a sample contains 500mg, how many mg will remain after…

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: Technetium-99m is used by doctors on patients when needing to x-ray and track organ function. It has…

A: Here, we use the formula , A=P12thwhere, A=remaining amount   P=original amount    t=elapsed time…

Q: 800 g of a medication is administered in an IV to a patient 4 times a day. The medication has a half…

A: 800 g of a medication is administered in an IV to a patient 4 times a day.The medication has a half…

Q: Yttirum-90 has a half-life of 64.10 hours. Given an initial mass of 622 grams of the sample, how…

A: Given information Half life t12=64.10 hours And the initial mass m0=622 grams We have to find the…

Q: Yttirum-90 has a half-life of 64.10 hours. Given an initial mass of 659 grams of the sample, how…

A: Half-life is the time required for a quantity to reduce to half of its initial value. The term is…

Q: half-life of radium is 1690 years. If 90 grams are present now, how much will be present in 9 grams…

A: Given that: Half life of radium = 1590 years.90 gms radium is present.

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A:

Q: If 14 g of a radioactive substance are present initially and 3 yr later only 7 g remain, how much of…

A:

Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be…

A: For the solution follow the next step.

Q: The half-life of a radioactive kind of uranium is 2 years. If you start with 5,712 grams of it, how…

A: According to question given that The half life of a radioactive kind of uranium is = 2 years A0=5712…

Q: Lead-210 has a half-life of 22.3 years. How much of a 102-mg sample would be remaining after 6 years

A: To solve such problem we use the following two equations K=0.693t12 N=N0e−Kt Given that T12=22.3…

Q: 5. A certain radioactive substance has a half-life of original amount of the substance decays. If…

A: The exponential decay formula is: N(t) = Aekt where: A = Initial amount k =  Rate of decay t = Time…

Q: The half-life period of the isotope is 148 hours. The initial mass of an lodine isotope was 17 mg.…

A:

Q: An unknown radioactive element decays into non- radioactive substances. In 320 days the…

A:

Q: Yttirum-90 has a half-life of 64.10 hours. Given an initial mass of 582 grams of the sample, how…

A:

Q: Yttirum-90 has a half-life of 64.10 hours. Given an initial mass of 551 grams of the sample, how…

A:

Q: You have 1,352 grams of a radioactive kind of neptunium. How much will be left after 130 minutes if…

A: We have to find

Q: The half-life of a radioactive kind of xenon is 9 hours. If you start with 32 grams of it, how much…

A:

Q: The half-life of a radioactive kind of americium is 16 hours. If you start with 1,320 grams of it,…

A: Radioactive decay

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: We know the half life formula:Nt=N012tt1/2Where Nt=Amount after t years.          N0=Initial Amount.…

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

A: According to the given information, an unknown radioactive element decays into non-radioactive…

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: An unknown radioactive element decays into non-radioactive substances. In 260 days the radioactivity…

A:

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: A tank contains 16,384 L of water At the end of each subsequent day , half of the water is removed…

A: The remaining amount of water after 1 day is 16384×12, The remaining amount of water after 2 days is…

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

A: Half life of isotope  cesium-137 = 29.75 years. The decay equation of cesium-137 is given by Let…

Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be…

A: Given initial mass   m=175 gram

Q: Assume a substance has a half-life of 11 years and the initial amount is 133 grams.How much remains…

A: The amount left after t years can be calculated as

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

A:

Q: (5) Radioactive decay is measured in terms of "half-life", which is the number of years required for…

A:

Q: Element X decays radioactively with a half life of 8 minutes. If there are 460 grams of Element X,…

A:

Q: 3. An isotope of sodium, Na - 24, has a half-life of 15 hours. A sample contains 42.8 grams of…

A:

Q: The half-life of a radioactive kind of nitrogen is 10 minutes. How much will be left after 40…

A: Radioactive decay occurs as an exponential function. That is given by…

Q: 2. Half-life of a DNA of an extinct moa is 521 years. A 1 mg sample was estimated to be 6000 years…

A:

Q: If 12 g of a radioactive substance are present initially and 8 yr later only 6 g​ remain, how much…

A:

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

A:

Q: If 16 g of a radioactive substance are present initially and 9 yr later only 8 g​ remain, how much…

A:

Q: The half-life of a radioactive kind of niobium is 87 hours. How much will be left after 348 hours,…

A:

Q: An initial deposit of $25,000 earns 1.25% interested and is left in the account for 15 years.…

A:

Q: An unknown radioactive element decays into non-radioactive substances. In 840 days the radioactivity…

A: Given: An unknown radio active element decays into non-radio active substances. In 840 days the…

Q: The half-life of radium is 1690 years. If 80 grams are present now, how much will be present in 240…

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: Yttirum-90 has a half-life of 64.10 hours. Given an initial mass of 750 grams of the sample, how…

A: See the detailed solution below.

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.