A certain hermit wants to design a reactor using radioactive material A that will be converted into B. For fifteen years he found out that 43/1000% of the original value of A, of B has disintegrated. What is the value of the decay constant?

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

A:

Q: 6. The radioactive isotope of lead, PB-209, decays at a rate proportional to the amount present at…

A: Let's find time to take 90% of the lead to decay.

Q: The half-life of substance X is 3.5 years.  How long will it take for a 96.0 mg sample of substance…

A:

Q: 2. Fermium-253 has a half-life of 33 days. (a) If we start with 1,200 mg, how much Fermium-253 will…

A: Fermium-253 has a half life of 33 days, that means Fermium-253 will take 33 days to reduce its…

Q: Under certain water conditions, the free chiorine (hypochlorous acid /HOCI) in a swimming pool…

A: This question can be solved using the law of uninhibited decay according to which  A=A0ekt

Q: The amount of carbon 14 remaining in a sample that originally contained A grams is given by C(t) =…

A: The amount of carbon 14 remaining in a sample that originally contained A grams is given bt…

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

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Q: A new compound called Corpium radioactively decays at the rate of -0.035% every year. If there is…

A: The decay function is given by N(t)=N0ert Now, given rate is -0.035%. So, the equation becomes…

Q: The decay constant for the radioactive element strontium 90 is l = .0244, where time is measured in…

A: Definition used -                            Decay equation -…

Q: A sample of tritium-3 decayed to 85% of its original amount after 4 years. How long would it take…

A: Given problem:- A sample of tritium-3 decayed to 85% of its original amount after 4 years. How long…

Q: A sample of tritium-3 decayed to 94.5% of its originalamount after a year.(a) What is the half-life…

A: A sample of tritium-3 decayed to 94.5% of its original amount after a year. We have to find (a) What…

Q: 1. A sample of einsteinium-252 decayed to 64.3% of its original mass after 300 days. a) What is the…

A: Let 100 be the original mass 64.3% of 100 is  64.3100 of 10064.3100·100=64.3 Now we find out decay…

Q: A 3750-year-old wooden chest is found by archaeologists. What percentage of the original 14C would…

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Q: The half-life of polonium is 139 days, but your sample will not be useful to you after 95% of the…

A: It is given days half-life of polonium is 139 days. By the definition of half life, A139=12A0

Q: There are 5,000 wolves in the park, but their population is expected to decay at a rate of 8% per…

A: Given, initially , wolves in the park = 5000 Decay of population = 8% per year finally , wolves in…

Q: 2. Suppose that we initially have 500 mg of a radio-active substance as sample. After a year, the…

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Q: How long would it take for a principal ofP to double if invested at 7% compounded continuously?

A: Given, for a principal of P to double if invested at 7% compounded continuously.

Q: An initial population of 8,000 decays for two years until the population is 500. By what percentage…

A: Given-  An initial population of 8,000 decays for two years until the population is 500. To…

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 scientist wants to determine the halflife of a certain radioactive substance. She determines that…

A: The half life function is given by: N(t)=N0(0.5)t/t1/2 where N(t) is the final amount in milligrams…

Q: The decay constant for carbon-14 is 0.00012, with time measured in years. A piece of papyrus…

A: Decay of any radio active substance follow first kinetics and the equation of first order kinetics…

Q: How long does it take for 90% of a given quantity of the radioactive element cobalt-60 to decay,…

A: Radioactive element decay rate.

Q: 4. The half-life of carbon-14 is approximately 6000 years. How much of 800 g of this substance will…

A:

Q: Suppose that you want to have a $50,000 retirement fund after 40 years. How much will you need to…

A: Given query is to find the investment amount so that can give $50000 after 40 years.

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

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Q: 1. Strontium-90, 90Sr, has a half-life of 29 years. a) If 42.5 grams remain after 50 years, what is…

A: The formula for the quantity remaining of a substance after t years is: Nt=N012tt12 Here, t12=…

Q: A tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. To the…

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Q: Suppose the half-life of a certain radioactive substance is 20 days and that there are5 grams…

A: Given that, The half-life of a certain radioactive substance is 20 days and that there are 5 grams…

Q: 9. If you invest $2500 at 2.8% compounded continuously how much will you have at the end of 10…

A:

Q: 2. It is estimated that t months from now, the population of a certain town will be changing at the…

A: This question is related to population growth, We will solve it using integration.

Q: 2. Suppose a nuclear accident releases 50 kilograms of the element Cesium 137. If the half life of…

A: Given- Intial amount of Cesium-137 is 50 kg and half life is 30 years. To find- The amount after 30…

Q: A certain type of bacteria, given a favorable growth medium, doubles in population every 6.5 hours.…

A:

Q: A certain element decays at a rate of .000163/year. Of a piece of this element of 450 kg, how much…

A:

Q: a car sells for $12,500 and one year later it is valued at $11,375. find the decay rate of the car

A: Explanation of the answer is as follows

Q: Jamal wants to invest $4,300 in an account with an interest rate of 7.2% that is compounded…

A: *concept:- compounded continuously means, compounded per month for 9 years, that means for a year…

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: Radium-221 has a half-life of 30 s. How long will it take for 95% of a sample to decay?

A: Given that Radium-221 has a half life of 30 seconds. We need to calculate how long will it take for…

Q: The half-life of cesium-137 is approximately 30 years. If an artifact initially contains 100 g of…

A: decay constant k=ln2half life

Q: A pizza, heated to a temperature of 400 degrees, is taken out of an oven and placed in a 70 degree…

A: According to property of energy transfer, heat will transfer from body at higher temperature to body…

Q: determine how long it will take for 650 mg of a sample of chromium-51, which has a half life of…

A: Half Life-The half life of a substance is thetime taken for half of the substance tobreakdown or…

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

A:

Q: The decay equation for radon-222 gas is known to be y = y0 e-0.18t, with t in days. About how long…

A: The decay equation for radon-222 gas is known to be y = y0 e-0.18t, with t in days. About how long…

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

A: To find the mass that remains from 100 mg sample after 30 years and time required to reduce the…

Q: a) If an investment grows in value at 2.4% per year, how long will it take for its value to double?…

A:

Q: 1. The radioactive isotope hydrogen-3 has a half-life of 12.3 years. a. If a sample of 80 mg of…

A:

Q: 9. A sample of tritium-3 decayed to 94.5% of its original amount after a year (a) What is the…

A: Consider N (t) is the amount of tritium-3 relative to the original amount, then general form is,

Q: 6. Determine the initial amount of radioactive substance if after 22 years, the remaining…

A:

Q: If a population of is becoming extinct and the population is decaying exponentially. Assume that…

A: From given information