Plutonium has a decay constant of 2.75 × 10-16 s-1. Activity of 1 g of sample will be 0.678x106 Bq. How many decays per second occur when the sample is one week old?
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A: mass = 1 mg = 0.001 g Activity = 80Bqhalf life ??
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Q: Plutonium has a decay constant of 2.75 x 10-16 s-1. Suppose we had a 1.00 g sample what will be its…
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A: Given: The half-life of 27Mg t1/2 = 9.50 min At t=0, the number of nuclei of 27Mg, N0 = 3.70× 1012…
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- You are training for an upcoming Physics Olympics competition. Your coach gives you the following problem and a short time interval to solve it: For radioisotopes with very long half-lives, we cannot measure the half-life in the laboratory, because the activity does not change enough in a reasonable time interval to generate a graph like in the figure below. N(1) Nor No N=Noe The time interval T₁/2 is the half-life of the sample. T1/2 271/2 Ⓡ But suppose you have been given a sample of pure 115In that has been gathered from meteoroids. The sample has a mass of 94.1 g and has a measured activity of 24.5 Bq. Quick! Determine an estimate f the half-life of 1151n (in years). Your future as a Physics Olympic team member depends on your answer! угA certain isotope has a half-life of 5.9 h and an atomic mass of 95.98 u. What will the activity in Bq of a 1.36-g sample be after 19.8 h?The radioactive isotope of lead ^209Pb decays according to the differential equation dN/dt=-kN. The isotope has a half-life of 3.3 Hours. If 1 gram is presented initially, how long will it take for 78% of the lead to decay?
- In many cases, prostate cancer is treated by implanting 60 to 100 small seeds of radioactive material into the tumor. The energy released from the decays kills the tumor. One isotope that is used (there are others) is palladium (103Pd) with a half-life of 17 days. If a typical grain contain 0.27 g of 103Pd, (a) what is its initial activity in Bq and (b) what is the activity 68 days later?Thorium 22890Th produces a daughter nucleus that is radioactive. The daughter, in turn, produces its own radioactive daughter, and so on. This process continues until bismuth 21883Bi is reached. What are (a) the total number Nα of α particles and (b) the total number Nβ of β- particles that are generated in this series of radioactive decays?A piece of charcoal used for cooking is found at the remains of an ancient campsite. A 1.19 kg sample of carbon from the wood has an activity of 2340 decays per minute. Find the age of the charcoal. Living mate- rial has an activity of 15 decays/minute per gram of carbon present and the half-life of 14C is 5730 y. Answer in units of y.
- The decay chain of uranium includes radon, a noble gas. When uranium in the soil decays to radon, it may seep into houses; this can be a significant source of radiation exposure. Most of the exposure comes from the decay products of radon, but some comes from alpha decay of the radon itself. If radon in the air in your home is at the maximum permissible level, the gas in your lungs will have an activity of about 0.22 Bq. Each decay generates an alpha particle with 5.5 MeV of energy, and essentially all that energy is deposited in lung tissue. Part A Over the course of 1 year, what will be the dose equivalent in Sv to the approximately 0.90 kg mass of your lungs? Express your answer in millisieverts per year. ΕΧΕΙ ΑΣΦ dose equivalent = ? mSv/yrA radioactive nucleus has half-life T1/2. A sample containing these nuclei has initial activity R0. Calculate the number of nuclei that decay during the interval between the times t1 and t2.Archeologists can determine the age of artifacts made ofwood or bone by measuring the amount of the radioactive iso-tope ¹⁴C present in the object. The amount of isotope decreasesin a first-order process. If 15.5% of the original amount of ¹⁴C is present in a wooden tool at the time of analysis, what is theage of the tool? The half-life of ¹⁴C is 5730 yr.