1. The half-life of Plutonium-239 is 24,100 years.  10 grams of Plutonium-239 were released in a nuclear accident.  How long will it take for the 10 grams to decay to 1 gram? 2. A tank with 100 liters of brine containing 50 kg of dissolved salt.  Pure water is allowed to run into the tank at the rate of 3 liters per minute.  Brine runs out of the tank at  the rate of 2 liters per minute.  The instantaneous concentration in the tank is kept uniform by stirring.  How much salt is in the tank at the end of one hour?

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: In the early 1960s, radioactive strontium-90 was released during atmospheric testing of nuclear…

A: the radioactive decay is a continuous process. Therefore, A=A0ert where A is the amount remaining,…

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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…

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

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

A: Definition used -                            Decay equation -…

Q: 17. The half-life of strontium-90 is 28 years. How long will it take a 50-mg sample to decay to a…

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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: 3. The half-life of sodium-25 is 1.0 minutes. a) Starting with 1.0 kg how much will remain after ½…

A: Half life is very significant for chemical substances, especially for nuclear substances. It informs…

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

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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: 10. Cobalt-60 has a half-life of 5.42 years (a) Find the mass that remains from a 100-mg sample…

A: The given half life t1/2= 5.42 years

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

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Q: Element X is a radioactive isotope such that every 7o years, its mass decreases by half. Given that…

A: Solution : Given that element X is a radioactive isotope such that every 70 years, its mass…

Q: 2.18: When brought to the emergency room, an accident victim has 3 liters of blood and is still…

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Q: 1.The population of the Philippines has doubled in the last 50 years.The population of the…

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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: 2.A mold population is growth at 8% every three months. If there is initially 3 cubic centimeters of…

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Q: The amount remaining of a 162 mL sample of a liquid substance, y (in mg) after x hours is modeled by…

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Q: What costs $60 million per gram and can beused to treat brain cancer, analyze coal for its sulfur…

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

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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: The half-life of plutonium-241 is approximately 13 years. How much time is necessary for a sample…

A: The exponential formula for decay is given as: A=A0e-λt               ⋯2, where A is future amount,…

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: 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: 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: The half - life of Cobalt - 60 is 15 years. How much of an initial 105 g sample will remain after 33

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Q: What costs $60 million per gram and can beused to treat brain cancer, analyze coal for its sulfur…

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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: 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 drug is eliminated from the bloodstream with a half-life of 34 hours. Suppose that a…

A: Exponential decay formula: - The amount drops gradually, followed by a quick decrease in the rate of…

Q: 9. The half-life of a radioactive element can be modelled by M = Mo (-)" where Mo is the initial…

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Q: The half life of radium−226 is 1590 years. Let m(t) = m0 exp (kt) be the mass of radium−226 that…

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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: 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: The half life of a substance is described as the time it takes for the mass of a substance to be…

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Q: 1. Fermium-253 has a half life of 3 days. If we start with 1000 mg, how much will be left after 20…

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Q: The half-life of plutonium-241 is approximately13 years.a. How much of a sample weighing 4 g will…

A: The half-life of plutonium-241 is 13 years. A(t)=A0e-k tA02=A0e-k×13…

Q: The half-life of sodium-25 is 1.0 minutes.  Starting with 1.0 kg how much will remain after ½ hour.…

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Q: 2. A radioactive material loses 25% of its mass in 10 minutes. What is its half-life?

A: Let No be the initial mass, N be remainingmass.  Then  N= No - 25100 No = No - No4=34NoHence    t…

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

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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…

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Q: 1. A breeder reactor converts relatively stable uranium 238 into the isotope plu- tonium 239. After…

A: Here, A(t) is the amount of plutonium remaining at time t. So, we can create the I.V.P. dAdt=kA,…

Q: 8. Determine the half-life of the substance if an initial 150mg has decayed to 50mg in a an of 20…

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Q: A certain hermit wants to design a reactor using radioactive material A that will be converted into…

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Q: 4. If caffeine has a half-life of 2 hrs., how many of 140 mg of caffeine remain in Mr. Moreno's…

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Q: Element X decays radioactively with a half life of 8 minutes.If there are 980 grams of Element X,…

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