The 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

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

What is the the total binding energy of 6 28 Ni. It isotope mass is 59.930786 u. The mass of a neutron is 1.008665 u and the mass of H is 1.007825 u. a. О b. 526.9 MeV С. 0.565594 u d. 8.781 MeV O e. 59.930786 u

There is more than one isotope of natural uranium. If a researcher isolates 0.7 mg of the relatively scarce 235U and finds this mass to have an activity of 78.0 Bq, what is its half-life in years? =___years

The activity of a particular radioactive nuclide falls from 1 × 1011 Bq to 2 × 1010 Bq in 10 hours. Calculate the half-life of the nuclide.

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.