A certain radioactive material is known to decay at a rate proportional to the amount present.  Initially there is 50 mg of the material present and after 2 hours it is observed that the material has lost 10 percent of its original mass,  Determine the mass of the material after 4 hours.

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A: Given: A radioactive element is known to decay at a rate proportional to its present mass.…

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A: Solution

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A: Here initial amount A0=4000g Decaying rate λ= 3.15% = 0.0315 Let amount remains in 190 years= A(t)

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A: model is  A=A0ektfor half-life put A=A02thenA02=A0ektsolving for t, we get k=-ln(2)t

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

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Q: A breeder reactor converts relatively stable Uranium 238 into the isotope Plutonium 239. After 15…

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

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

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Q: A tank initially contains 50 gal. of fresh water. Brine (water in which a certain number of pounds…

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

A: The decay rate is proportional to the amount present. So, dNdt=-λN⇒dNN=-λdt⇒∫dNN=-λ∫dt+C⇒ln…

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Q: 1. After 2 days, 10 grams of a radioactive substance is present. Three days later, 5 grams is…

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Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

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