As a staff scientist at a nuclear power plant, it is your job to understand radioactive substances used by your co-workers. In a particular radioactive sample, you found that the number of nuclei decreased to one-ninth the original number of nuclei over a 6 d period. Determine the half-life of the sample (in days). d
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- A. B. Use the worked example above to help you solve this problem. The half-life of the radioactive nucleus 226 Ra is 1.6× 10³ yr. If a sample initially contains 3.34 x 1016 such nuclei, determine the following: 88 (a) the initial activity in curies μCi (b) the number of radium nuclei remaining after 4.5x 10³ yr nuclei (c) the activity at this later time μCi Use the values from PRACTICE IT to help you work this exercise. (a) Find the number of remaining radium nuclei after 3.10 x 10³ yr. N = nuclei (b) Find the activity at this time. R = μCi10. The radioactive isotope (82Sr) has a half-life of 25.4 days. A sample containing this isotope has an initial activity at (t = 0) of 4.50 × 108 Bq. Calculate the number of nuclei that will decay in the time interval between t₁ = 80.0 hours. for ssi nuclei ssf624 50 ssfo 30.0 hours and t2 sf60 s 60 ssf6A radioactive isotope has a half-life of 72.0 min. A sample is prepared that has an initial activity of 1.60×1011 Bq A) How many radioactive nuclei are initially present in the sample? B) How many are present after 72.0 min? C) What is the activity after 72.0 min? Express your answer in becquerel. D) How many are present after 144 min? E) What is the activity after 144 min? Express your answer in becquerel.
- The age of wine can be determined by measuring its radioactive tritium content. i. How many protons, electrons, and neutrons are in tritium (3H)? ii. The half life of tritium is 12.5 years. What is the age of a wine that has only 43% of the tritium activity of a freshly bottled sample? Please explain why your answer makes sense.Part A A sample of U (T1= 1.59 × 10° yr) contains 2 233 6.10 x 1018 nuclei. What is the decay constant? Express your answer using three significant figures. ? = s-1 IIA building has become accidentally contaminated with radioactivity. The longest-lived material in the building is strontium-90. (The Sr is 89.9077 u.) If the building initially contained 7.7 kg of this substance and the safe level is less than 90 38 atomic mass of 10.3 counts/min, how long will the building be unsafe? yr
- As a staff scientist at a nuclear power plant, it is your job to understand radioactive substances used by your co-workers. In a particular radioactive sample, you found that the number of nuclei decreased to one-sixth the original number of nuclei over an 18 d period. Determine the half-life of the sample (in days).A sample of carbon-14 initially consists of 5 × 10 24 particles. Carbon-14 has a half- life of 5730 years. a. What is the decay constant for carbon-14? (Answer in units of yr –1 .) b. How many radioactive particles of the sample remain after 100 years? c. What percentage of the radioactive particles remains after 500 years? d. How many radioactive particles of the sample remain after 1000 years? e. How much time will it take for 50% of the particles to decay? f. How much time will it take for 99% of the particles to decay? g. How many half-lives will it take for 99% of the sample to decay? h. What is the initial decay rate of the sample? (Answer in decays/yr.) i. After 200 years, what is the decay rate of the sample? j. How long will it take for the decay rate to decrease to 1015 decays/year? k. How many half-lives have passed after the time you found in part (j)?Solve problem 17 by using equation (2,2) and the k value determined by solving 16.
- What is the activity of a sample of C that contains 6.7x1020 nuclei? The half-life of C is 5700 years. Express your answer using two significant figures. TeThe radium isotope 226 Ra has a hall-life of 1600 years. A sample begins with 3.50x1010 226 Ra atoms. Y Part C N Submit How many are left after 400 years? 195] ΑΣΦ Submit Request Answer Part B How many are left after 2000 years? N= 1971 ΑΣΦ Submit How many are left after 35000 years? Request Answer ΜΕ ΑΣΦΑ Request Answer BAC ? ?What is the activity of a sample of C that contains 5.3x1020 nuclei? The half-life of C is 5700 years. Express your answer using two significant figures. ? ΔΝ decays/s At