The​ half-life of a radioactive substance is 25 years. If you start with some amount of this​ substance, what fraction will remain in 100 ​years? What fraction will remain in 150 ​years?

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: The amount of​ carbon-14 present in a paint after t years is given by y=yoe^−0.00012t. The paint…

A: Given amount of carbon-14 present in a paint after t years is            y = y0 e^- 0.00012t If t= 0…

Q: In 2000, 50 grams of radium were stored. The half-life of radium is 1,620 years. How many grams of…

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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 amount of carbon-14 present in animal bones after t years is given by P(t) = Poe -0.00012t. A…

A: answer is in next step. please give a like !!

Q: 9. Radioactive Decay The half-life of radium is 1690 years. If 10 grams is present now, how much…

A: The half-life of any substance represents the time required by that substance to reduce to half of…

Q: An unknown sample contains radioactive element U-235. If the original amount present is 3500 atoms,…

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

A: initial quantity of P , N0=1000 mghalf life of P , t1/2 =14.286 daysto find the days after P bcomes…

Q: The half - life of the radioactifive substance Carbon- 14 is approximately 5750 years. Suppose an…

A: Given that the half-life of the radioactive substance carbon-14 is approximately 5750 years. Suppose…

Q: The half life of a radioactive substance is 25 years, if you  start  with some amount of this…

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Q: The half-life of the radioactive element unobtanium-29 is 10 seconds. If 32 grams of unobtanium-29…

A: given: Half life, T=10 sec initial quantity, A0=32 gm

Q: A fossilized bone is found to contain 0.1% of its original amount of C-14. Determine the age of the…

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Q: 9. The half-life of cesium-137 is 30 years. Suppose we have a 100-mg sample. (a) Find the mass that…

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Q: 3. The amount A, micrograms of a certain radioactive substance remaining after t years decreases…

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Q: . Radioactive Radon After 3 days a sample of radon-222 has decayed to 58% of its original amount.…

A: Given, mass of radon-222 decayed 58% of original amount m(t)=m(3)=0.58m0 0.58m0=m0e3ke3k=0.58 take…

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: 18. The half-life of radioactive Mathium is 21.77 years. What percent of a present amount will…

A: Given : Half - life of radioactive Mathium is 21.77 years.

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

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Q: 10)A doctor prescribes 300 milligrams of therapeutic drug that decays by about 10 % each hour. What…

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Q: 12. A 50 mg sample of radioactive iodine decays to 23mg after 12 minutes. a. Determine the half-life…

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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: Q1) A radioactive isotope has a half-life of 16 days. You wish to have 30 g at the end of 30 days.…

A: Using the radio-active decay formula, it can be written that Nt=N012tt12 , where , N0 is the initial…

Q: Cobalt-60 has a half-life of 5.24 years. a. Find the mass that remains from a 100-mg sample after 20…

A: (a) Consider the mass remains from m0 mg sample after n years as m(t). The exponential equation can…

Q: half life of radium is 1690 years. if 60 grams are present now how much will be present in 300 years

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Q: The half-life of radioactive strontium-90 is approximately 31 years. In 1963, radioactive…

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

A: We have given that a wooden artifact tomb contains 25 percent of the carbon-14 that is present in…

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

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Q: 13. A radioactive isotope has half-life of 43 days. What percent of the original amount remains…

A: Topic:- application of algebra

Q: e half life of a decaying substance is the amount of time it takes for the substance to reduced to…

A: Given query is to find the time taken to reduce the substance to 10 mg

Q: Radium decomposes at the rate proportional to the present amount. If the half- life is 1600 years,…

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Q: A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years. How much of the…

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Q: 22)  A linen artifact found in a crypt contains 95 percent of the carbon-14 that is present in…

A: Given that: Half life of carbon=5730 yearsPercentage of carbon present=95%

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: A radioactive substance decays by 0.2% each year. a) If you started with 90mg of this substance, how…

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Q: years, 20% of a radioactive element decays. Find its half-life. (Round your answer to one decimal…

A: Given query is to find the half life if the substance

Q: Poaching is causing a population of elephants to decline by 5%pwr year. What is the half life for…

A: Given, the population of elephants decline by 5% per year. we know that half life formula is:…

Q: An unknown radioactive element decays into non-radioactive substances. In 420 days the radioactivity…

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Q: Nuclear engineering If radium has a half-life of 1600 years, how much of 100 mg will re- main after…

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Q: Q5: A sample contains 1 gram of Radium. Will more than 0.5 gram of Radium remain after 1000 year?…

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Q: Californium-253, a radioactive isotope with applications in nuclear energy and medicine, has a…

A: Given Initial weight of californium-253 S0=50 gram Half life time λ = 18 days

Q: |The amount A(t) of atmospheric pollutants in a certain mountain valley grows naturally and is…

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

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Q: Radon-222 has a half-life of 4.00 days. Given its mass 5.488 gram at a certain time, what was the…

A: Given that, Radon-222 has a half-life of 4.00 days. Given its mass 5.488 gram at a certain time We…

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

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Q: The half - life of a substance is 50years. Determine the amount of time needed for the substance to…

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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: 34)The amount A of radium in milligrams remaining in a sample after t years is given by 4)0.2160 How…

A: Here, we substitute the value of A(t)=0.004  and solve the equation to get hte required value of t…

Q: An unknown radioactive element decays into non- radioactive substances. In 540 days the…

A: 1) The half life equation is P(t) = P (0)*(0.5)t/H   P(t) is the quantity at time t (proportional to…

Q: Radon-222 has a half-life of 4.00 days. Given its mass 3.168 gram at a certain time, what was the…

A: We will find out the required solution.

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.