U235 is used as fuel in nuclear reactors. The activity of U235 is around 9.9×10-10 yrs-1. Calculate its half life
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- Unstable nuclei will become stable by radiating energy, this process is called radioactive decay. The rate at which unstable radioactive nuclei decay in a sample of material is called the activity of the sample.
- Half-life is the time that it takes for the activity of a radioactive nuclei to be reduced by half.
Here λ is known as the decay constant of the nucleus.
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- 98/43Tc decays by emitting a 140 keV gamma ray—a highenergy photon. The mass of the nucleus is approximately 98 u. By what fraction does the mass of the nucleus decrease when the gamma ray is emitted?The ceramic glaze on a red-orange Fiestaware plate is U2O3 and contains 50.5 grams of 238U, but very little 235U. (a) What is the activity of the plate (in Ci)? Ci (b) Calculate the total energy (in J) that will be released by the 238U decay. J (c) If energy is worth 12.5 cents per kW · h, what is the monetary value (in dollars) of the energy emitted? (These plates went out of production some 30 years ago, but are still available as collectibles.) $Potassium-argon dating is used to measure the age of rocks formed from cooled lava by determining the fraction of the original 40K remaining in a sample from the ratio of 40K:40Ar. Unusually, potassium-40 decays into both 40Ca (89.1% of the time) and 40Ar (10.9% of the time) with a half-life of 1:248 x 10^9 years.1. What is the calculated age of a sample in which the faction of 40K remaining was found to be 0.0043?2. Is this result physically plausible?
- The half life for the radioactive decay of Ce-141 is 32.5 days. If the sample has an activity of 4.0 úCi after 130 days have elapsed, what was the initial activity, in microcuries, of the sample?The half-life for the decay of carbon-14 is 5.73*10^3 years. Suppose the activity due to the radioactive decay of the carbon-14 in a tiny sample of an artifact made of wood from an archeological dig is measured to be 1.0*10^ 3Bq. The activity in a similar-sized sample of fresh wood is measured to be 6.9*10^3 Bq. Calculate the age of the artifact. Round your answer to 2 significant digits.The decay constant for 198Au is 2.97 x 10-6 s-1. Suppose we had a 1.00-ug sample of 198Au. What is its activity?
- The activity of C-14 can be used to determine the age of some archaeological discoveries. Suppose a sample of ancient wood which contains C-14 has an activity of 7.50 x 10^-4 Ci. The half life of C-14 is 5730 years. What will be the activity of this sample after 250 years?The half life of 60Co is 5.7 years. Find the activity of 2.54 milligram of 60Co. Give your answer in decays/second (Bq) Round your answer to 3 significant figures. Add your answerGlow-in-the-dark signs take advantage of β− particles emitted in the decay of certain isotopes that glow when interacting with matter. If such a sign has an activity of 14.7 Ci when it's manufactured and contain isotopes with a half-life of 13.3 y, what will its activity in Ci be 3.9 y later?