3. A radioactive substance has a half-life of 1620 years. If its mass is now 4 grams, find the time in years when 1.5 grams of the substance remains. *

Q: Suppose a scientist has a fossil sample with 180 g (grams) of carbon-14. If its original amount of…

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

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

A: t=Duration of half life=5.24 years k=Constant C=Mass of Cobalt=100 mg…

Q: If the initial mass of an Potassium was 149 grams will remain after 20 hours is 37.25 grams, then…

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Q: 4. How much should be invested at 12.5% compounded continuously to end up with $1000 at the end of 5…

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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 fragment of bone is discovered to contain 20% of the usual 14C concentration. Estimate the age of…

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Q: Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100 mg…

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Q: If the initial mass of an Potassium was 159 grams will remain after 16 hours is 39.75 grams, then…

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Q: A sample of a newly discovered element, West Virginium, has a half-life of 170 years. How long will…

A: We have to find the time required.

Q: 1. The population of Kuhala Island doubles every 3 decades. 2. The amount of radioactive isotope of…

A: Whether each given is an exponential function, exponential equation, or exponential inequality or…

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

A:

Q: 1. Radium decomposes at a rate proportional to the amount present. In 100 yrs, 100 mg of radium…

A: Given that Radium decomposes at a rate proportional to the amount present. In 100 years, 100 mg of…

Q: 9. If 75 mg of a radioactive substance decays to 15 mg in 20 years, find the Half-Life, in minutes,…

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Q: Radioactive cesium-137 has a half-life of 30.17 years. How much of an initial amount of 1,000…

A: If N0 is the initial amount and t is the number of years then equation of decay  is given by…

Q: 4. Te- 105 has a half life of 203.9 hours. If there are 1054 g of Te - 105 initially, how long will…

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Q: Suppose that a chemical reaction proceeds according to the law of growth and decay. If half the…

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Q: 9. The mass of a radioactive substance is 400mg and decreases by 6% per year. What is its mass after…

A: The mass of the radioactive substance is 400mg and decreases by 6% per year.

Q: If the quantity of a substance decreases by 4% in 11 hours, find its half-life. Round constants to…

A: Let initial quantity is A0 . Quantity after t hours = Ak= some constant.A is given by:

Q: 4.A radioactive substance loses 3% of its substance every 5 years. What is the half-life of this…

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Q: 4.) The half-life of strontium-90 is 28 years. Find the rate of decay. How long will it take a 50 mg…

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Q: Suppose you have a 1024 mg sample of a substance known to have a half-life of 50 years. Find the…

A: Given half-life of sample=50 yrs and the initial sample is = 1024mg.

Q: If the initial mass of an Potassium was 183 grams will remain after 22 hours is 45.75 grams, then…

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Q: It is found that 0.5% of radium disappears in 12 years, a.) What percent will disappear in 100…

A: We have to find the half life of the radium

Q: A sample of a newly discovered element, West Virginium, has a half-life of 295 years. How long will…

A: We have to find out t

Q: 7. A radioactive material decays at a rate proportional to its amount. If the material has a…

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Q: 1. The amount of a certain medicine in the bloodstream decays exponentially with a half- life of 5…

A: Here, given that the amount of certain medicine in the bloodstream decays exponentially with a…

Q: Suppose a sample of a certain substance decayed to 73.6% of its original amount after 300 days.…

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Q: 2-Suppose that the half-life of a certain radioactive substance is 2 days and there are 50g…

A: After each half life the amount left will be half the initial amount.

Q: A certain radioactive isotope has a half-life of approximately 1750 years. How many years to the…

A: Consider the amount is, A=Pert here, A is the isotope, P is the initial amount and r is the…

Q: In 1986 the Chernobyl nuclear power plant exploded, and scattered radioactive material over Europe.…

A: NOTE: Refresh your page if you can't see any equations. . let the initial amount of cesium-137 is…

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

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Q: Suppose the amount of a certain radioactive substance in a sample decays from 3.60 mg to 800. pg…

A: We have to find the half life of substance.

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

A: Given:The radioactive element carbon-14 has a half-life of 5750 years and the bones from a mastodon…

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 scientist begins with 450 grams of a radioactive substance. After 55 minutes, the sample has…

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Q: 2. Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100…

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Q: Radium has a weight of 1.5 and a half life of 6 years. What is its weight after 3 years?

A:

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

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Q: 1. The half-life of a radioactive material is 41.44 minutes. Starting with 840.7 grams of the…

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Q: Suppose a radioactive substance has a half-life of 1000 years. What fraction will be leftafter 1000…

A: Given that the half life is 1000 years. This means 1/2 of the the original amount is left after 1000…

Q: A particular isotope has a half-life of 1 minutes.  If you start with 1 gram of this isotope, how…

A: To determine: A particular isotope has a half-life of 1 minutes.  If you start with 1 gram of this…

Q: A sample of a newly discovered element, West Virginium, has been discovered. A 648 mg sample has…

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Q: If the initial mass of an Potassium was 121 grams will remain after 22 hours is 30.25 grams, then…

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

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Q: 2. The population of a suburb doubled in size in an 18-month peri growth continues and the current…

A: In this question we will use basic of calculus i.e application of differential equation. We will…

Q: If the initial mass of an Potassium was 111 grams will remain after 10 hours is 27.75 grams, then…

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

A: Let us assume it takes n half-lifes to reach 10mg

Q: If the half-life of a radioactive substance is 7,300 years, then at what rate is it decaying? (Hint:…

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