Question

A 15 kg carbon steel drum comprised of 95 w/o (i.e., weight percent) iron and 5 w/o silicon is used to store a radioactive liquid. The activity of the liquid on the interior surface of the drum is estimated to be approximately 2x101 y/cm²-s with an average Y-ray energy 1.0 MeV. What is the approximate energy deposition rate into the drum (uap)Fe=0.026 cm /g. (uap)s=0.028 cm /g.

Answer 1

mass of iron, me = 95 x 15 = 14.25kg totalmuss (w/o) Fe * mass of Silicon, Ms. = 5 15 = 0.75 kg (W1o) si * Interior surface are of iron = (Ma) x Mre - pre Are = 14.25% 0.026x10 = 370.5 cm² are of Silicon = ( x Msi Asi = 0.028x 0.75x10 * Interior Surface = 21 cm3 A = Afet Asi = 391-5cm. total interior Surface area - r- rays per second = Prags motivity & A = 2x10" x 391-5= 783x10 rls. = * r- energy 1.0 Mev average & Energy deposition at interior Surface = average r-energy x perays per second = 1.0 mev x 783x10 rls = 1.602x10 13 x 783x10" [1Mev = 1.602 x 108] Limev= 1.60 = 12.543 W