6. A decay problem. You have 2000 lbs of a liquid that is evaporating in a strange way so that the weight is dropping at a rate of 12 % per day. What is the weight of the liquid 4 days later ? * 1760.2 lb O 1199.4 lb O 431.3 lb

Q: 100mg sample of tritium-3 decayed to 94.5mg after a year. (i) What is the half-life of tritium-3?…

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Q: 4. Radium decomposes at a rate proportional to the amount present. If half the original amount…

A: Solve differential equation

Q: A radioactive material decays at a rate proportional to its amount. If the material has a life of 30…

A: This question is based on application of differential equation.

Q: After 15 years, one fourth of the initial mass of radioactive substance has decayed. b) Evaluate the…

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Q: A certain quantity has a century decay factor of 0.4. What is its yearly decay factor? (Round your…

A: Question- A certain quantity has a century decay factor of 0.4. What is its yearly decay factor?…

Q: 2. A certain radioactive substance decays half of itself every 5 days. Initially, there are 50…

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Q: 1. The half life of a substance is 250 years. After 1000 years what percentage of the substance…

A: As per our guidelines we are supposed to answer one question only, kindly repost the remaining…

Q: The half-life of Radium-226 is 1590 years. What is the annual decay rate? Express the decimal result…

A: Given data:   The given half-life of Radium-226 is T1/2=1590.   The expression for the annual decay…

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.000121t…

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Q: During a preliminary survey of an asteroid, chemical analysis indicated that a certain radioactive…

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

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Q: carbon-14? The decay​ rate, k, of​ carbon-14 is

A: The general exponential function of decaying is given as: A=A0e-kt where A is present amount Aο is…

Q: A certain radioactive substance decomposes at a rate proportional to the amount present. Suppose…

A: I have appended the formula used in the solution part.

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

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Q: 2. Radioactive isotope Carbon-14 decays at a rate proportional to the amount present. If the decay…

A: Solve for the mass after time 2.2 thousand years

Q: 4. A well-circulated pond contains 1 million L of water that contains a pollutant at a concentration…

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Q: 88 = 4A = Age 22 %3D Francium has a decay rate of 50% every 22 minutes. How much of an initial…

A:

Q: 3. Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of…

A: Given: initial mass of Radium  y0=96 mgWe know that General decay equation is y=y0e-kt…

Q: 1. If you have 100 grams of a radioactive isotope with a half-life of 10 years: a. How much of the…

A:

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: 6. A 200 g sample of polonium has a half-life of 40 days. This means that every 40 days, the amount…

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

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Q: What is the third-life of Woosterium-21? That is, find the time it takes a sample of Woosterium-21…

A: Exponential Decay Law A=A0e-kt t - time A - amount of sample after time t A0 - amount of sample at…

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

A:

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

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

A: NOTE: Refresh your page if you can't see any equations. . the initial amount is a=100% half-life is…

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: A tumor is injected with 0.4 grams of Iodine-125, which has a decay rate of 1.15% per day. To the…

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

A: To find the initial amount of radioactive substance, decay rate and half-life of the substance.

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 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: Element X decays radioactively with a half life of 9 minutes. If there are 170 grams of Element X,…

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A: Given that:                        Half life of drug = 13 hrsOne 2.2 mg tablet every 21 hr

Q: Strontium-90 is a radioactive isotope with a half-life of 29 years. Strontium-90 is a major…

A: The half-life , T12 , is calculated using the formula, T12=ln 2λ , where, λ is the decay constant.…

Q: Suppose a sample of a certain substance decayed to 79.6% of its original amount after 300 days.…

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Q: 1. Carbon 14 is a common form of carbon which decays over time. The initial amount of carbon 14…

A: Please see the below pictures for detailed solution.

Q: 1. A certain radioactive material is known to decay at a rate proportional to the amount present.…

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Q: An unknown radioactive element decays into non-radioactive substances. In 700 days the radioactivity…

A: An unknown radioactive element decays into non radioactive substances. In 700 days, the…

Q: Express the hourly decay rate as a percentage to two decimal places.The half-life of Erbium-172 is…

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Q: 22. The half-life of radium-226 is 1620 years. a) If the current mass of a sample is 100 grams, what…

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Q: If a function decreases by 7% each year, then the yearly decay factor is what?

A: If a function decreases by 7% each year, then the yearly decay factor is what

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Q: A tumor is injected with 0.7 grams of Iodine-125, which has a decay rate of 1.15% per day. To the…

A: The exponential function A = P * (1 - r)t  where A is the final amount and P is your inital amount.…

Q: 10. The mass of a radioactive substance is 1000mg and decreases by 7% per year. What is its mass…

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Q: 6. An antibacterial substance is applied to a bacteria culture of 5000 bacteria. After 10 days, the…

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

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Q: Element X decays radioactively with a half life of 9 minutes. If there are 760 grams of Element X,…

A: Formula for half life is as below : N(t)=19 gramsN0=760t = ?t12=9 minutes

Q: me mass of a radioactive substance follows a continuous exponential decay model, with a decay rate…

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Q: A sample of a radioactive substance decayed to 92% of its original amount after a year. (Round your…

A: Firstly, we can set up exponential equation we can use formula

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.