Radioactive nuclei with a decay constant of are produced in an accelerator at a constant rate

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Radioactive nuclei with a decay constant of λ are produced in an accelerator at a constant rate R_p. The number of radioactive nuclei N then obeys the equation dN/dt = R_p – λN.

(a) If N is zero at t = 0, sketch N versus t for this situation.

(b) The isotope ⁶²Cu is produced at a rate of 100 per second by placing ordinary copper (⁶³Cu) in a beam of high-energy photons. The reaction is

λ + ^63Cu → ⁶²Cu + n

⁶²Cu decays by b decay with a half-life of 10 min. After a time long enough so that dN/dt ≈ 0, how many ⁶²Cu nuclei are there?

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Fundamentals of Ethics for Scientists and Engineers

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Authors: Edmund G. Seebauer, Robert L. Barry

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Question Posted: Nov 29, 2011 12:56 PM

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Radioactive nuclei with a decay constant of are produced in an accelerator at a constant rate

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a The solution to the differential equation dN dt R p N with the initial c...View the full answer

Fundamentals of Ethics for Scientists and Engineers

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