Determine the half-life (in s) of a radioactive sample that contains 1.50 x 1015 atoms and has an activity of 6.60 x 1011 Bq.
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- Determine the half-life (in s) of a radioactive sample that has a decay rate of 3.30 ✕ 1011 Bq when it contains 1.70 ✕ 1015 nuclei. sA. 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 ssf6
- A 10 g sample of a radioactive element took 12 days to reduce into 1 g. Calculate the half-life and identify the element.A scientist is studying a 2.234 g sample of thorium-229 (t1/2 = 7340 yrs) in a laboratory. (a) What is its activity in Bq? Answer: x 10^ Bq (b) What is its activity in Ci? Answer: x 10^ CiA piece of charcoal used for cooking is found at the remains of an ancient campsite. A 0.92-kg sample of carbon from the wood has an activity equal to 5.30 ✕ 102 decays per minute. Find the age of the charcoal. Hint: Living material has an activity of 15.0 decays/minute per gram of carbon present.
- The iodine isotope 131 53 for Iodine is used in hospitals for diagnosis of thyroid function. 772 μg are ingested by a patient. The half-life the iodine isotope 131 53 I is 8.0207 days and mass is 130.906 u. Part A: Determine the activity immediately after ingestion. Part B: Determine the activity 1.00 h later when the thyroid is being tested. Part C: Determine the activity 3.5 months later. Suppose that each month has 30 days.The number of radioactive nuclei present at the start of an experiment is 5.38 × 10¹5. The number present twenty days later is 5.02 × 10¹4. What is the half-life (in days) of the nuclei?A nucleus of copper has an atomic mass of 64.93 u (with Z=29 and A=65). Considering that the mass of a neutron and a proton are respectively 1.00866 u and 1.00728 u. What is the total binding energy of that nucleus? (Expressed in MeV)
- A 5 g sample of a radioactive element takes 102 days to reduce into 3 g. Calculate the half-life and identify the element.The radioactive nuclide platinum-199 has a half-life of 30.8 minutes. A sample is prepared that has an initial activity of 5.67 x 1011 Bq. (a) How many platinum-199 nuclei are initially present in the sample? (b) How much of this nuclei will be left after 92.4 minutes?An unlabeled container of radioactive material has an activity of 78 decays/min. Four days later the activity is 63 decays/min. A. Determine the half-life of the material. T = ? days B. How many days after the activity is 78 decays/min will it reach 10 decays/min? t = ? days