After 3.88 hours the activity is 5.35×104 Bq. (A) What is the half-life of the isotope? (B) What is the activity after an additional 3.88 hours? A) (in s) OA: 6.426x103 OB: 9.317x103 OC: 1.351x104 OD: 1.959x104 OE: 2.840x104 OF: 4.5 (B) (in Bq) OA: 1.387x104 OB: 1.845x104 OC: 2.454x104 OD: 3.264x104 OE: 4.341x104 OF: 5.7

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.

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

Carbon-14, with a half-life of 5730 years, has a decay constant of λ = 1.21 × 10-4 yr-1. A piece of wood from an archaeological site is found to have 1.9 % of its original carbon-14. How many years old (t) is the piece of wood? Express your answer in scientific notation. Example: 1.23e4.

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.

(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: 3.448x104

The isotope of Curium 242Cm has a half-life of 160 days and emits alpha particles with an energy 6.1MeV. What is the power emitted by a sample of 242Cm with a starting number of N0 = 1018 atoms after 80 days?

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