The half-life of radium-226 is 1590 years. Suppose we start with a sample of radium-226 whose mass is 50 mg. (a) Find a formula for the mass m{i) remaining after t years and use this formula to predict the mass remaining after 1000years. (b) When will only 10 mg remain?

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

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

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

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Q: How long will it take 70 grams of cobalt-60 to decay to 7 grams? The half-life of cobalt-60 is 5.3…

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Q: Of an initial amount of 4000 g of lead-210, how much will remain in 190 years? Lead-210 decays at a…

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Q: The half-life of radium-226 (   226 88    RA  ) is 1590 years.(a) A sample of radium-226 has a mass…

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

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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.