The stable isotope of sodium is 23Na. (a) Find the total binding energy and the binding energy per nucleon for 23 Na, which has an atomic mass of 22.989770 amu. (b) Explain what kind of radioactivity (a, 3, or y) you would expect from the isotope 22 Na. (c) Explain what kind of radioactivity (a, ß, or y) you would expect from the isotope 24 Na.
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- The experimentally measured mass of the 200Hg atom is 199.968316 u. Find the binding energy per nucleon predicted by the semiempirical binding energy formula and compare with the actual value of e for this nucleusThe remains of an ancient cave were unearthed. Analysis from charcoal in the cave gave 12.0 disintegration/min/g of carbon. The half life of C-14 is 5730 years. Analysis of the tree cut down when the cave was unearth showed 22.1 disintegrations/min/g of carbon. How old are the remains in the cave?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?
- E c) For a radio-nuclide, a number No of atoms at time t = 0 decays as N(t) = No e¯‹, where A is the decay constant. i) Derive the relationship between the half-life t₁ and the time constant □ = = 1/λ. ii) The radio-nuclide radium-226 has a half-life of 1600 years. Calculate the activity of one gram of radium in Becquerels. iii) Radium-226 decays to radon-222, known as the daughter product. The amount of a daughter product present will vary with time, Na(t). Sketch two graphs, with appropri- ate axes and labels, to show schematically how N(t) and Na(t) evolve if Na(0) = 0, for the two extreme cases where the daughter product is much more radioactive than the parent (\d >> \) and where the daughter product is much less radioactive than the parent (\a << λ). Given that the half-life of radon-226 is 3.8 days, indicate which graph is relevant and estimate the amount of radon in equilibrium with one mole of radium.What isotope is produced when Np-239 emits a beta particle?The half-life of 1311 is 8.04 days. (a) Convert the half-life to seconds. S (b) Calculate the decay constant for this isotope. S-1 (c) Convert 0.570 μCi to the SI unit the becquerel. Bq (d) Find the number of 13¹1 nuclei necessary to produce a sample with an activity of 0.570 μCi. 1311 nuclei (e) Suppose the activity of a certain 13¹1 sample is 6.90 mCi at a given time. Find the number of half-lives the sample goes through in 40.2 d and the activity at the end of that period. (Enter your answer for the number of half-lives to at least one decimal place.) half-lives mCi
- (a) At an initial time, a radioactive sample has an activity of 8.52x104 Bq. After 3.85 hours the activity is 5.42×104 Bq. (A) What is the half-life of the isotope? (B) What is the activity after an additional 3.85 hours? (A) (in s) OA: 2.285x103 (B) (in Bq) OA: 1.149x104 OB: 3.314x103 OB: 1.344x104 OC: 4.805x103 OC: 1.573x104 OD: 6.967x103 OD: 1.840x104 OE: 1.010x104 OE: 2.153x104 OF: 1.465x104 OG: 2.124x104 OF: OG: 2.519x104 2.947x104 OH: 3.080x104 OH: 3.448x104I need the answer as soon as possibleThe amount of radioactive 40K in a 70kg person is approximately 5000Bq. A) what is the number (N) of radioactive 40K nuclei in the body? The half life of 40K is 1.25x109 years. B)What is the amount of natural potassium (in grams) in the body? The abundance of 40K is 0.012% of the natural potassium 39K