5. Cobalt 60, which has a half-life of 5.3 years, is used in medical radiology. Most of the world's supply of Cobalt 60 is produced in Canada. a) What fraction of the original sample of Cobalt 60 will remain after 10.6 years? b) How long will it take until there is only 12.5% of the original sample remaining?

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

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

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Q: How much of a 500g sample of potassium-42 is left after 62 hours if the half life of potassium-42 is…

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

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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

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Q: The oldest known frozen human mummy, discovered in the Schnalstal glacier of the Italian Alps in…

A: The half-life of carbon-14 is 5730 years. Let at the initial point there was P amount of carbon.…

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

A: A sample of tritum-3 decayed to 94.5% of its original amount after a year. Note:   Multiple…

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Q: If the half-life of a radioactive substance is 7,600 years, then at what rate is it decaying? 1…

A: We can find the rate of decay as below.

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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: 4.32 lf the preceding 50% rates were each reduced to 40% by a massive education program, then what…

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

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Q: If 525 mg of a radioactive element decays to 450 mg in 48 hours, what is its half-life?

A: we are using model for radioactive decayN=N0e-λtwhereN0=initial amountN=The amount test of a…

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A: Here we use half-life to calculate the exponential decay:

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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.

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Q: 3. If a radioactive substance is quickly decaying at a rate of 13% per hour approximately how much…

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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.

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

A: Given- Element X decays radioactively with a half life of 9 minutes and there are 170 grams of…

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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%…

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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: 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…

A:

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: 11. Scientists can determine the age of ancient objects by the method of radiocarbon dating. The…

A: Given: The radioactive isotope of C has a half-life of 5730 years and the age of a parchment needs…

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.