Question

The following questions pertain to radioactive decay, which are first-order reactions. • Decay constant = rate constant • Activity is the number of nuclei (N) decaying per unit time 1. a. What is the decay constant for the B emission of 3H given ty = 12.26 yr? b. What fraction of tritium atoms in a sample remains after 100.0 yr? c. If the original number of tritium atoms was 1.50 x 1018, what is the number remaining? and that a. Assuming that the activity of live organic matter is [14C]o = 12.6 ming ty = 5730 yr for 14C, predict the 14C activity in ming for a piece of cloth manufactured 2010 years ago. , estimate the age of this b. If the Shroud of Turin has a 14C activity of 11.6 ming piece of cloth.

Answer 1

O @ decay constant (K) = 0.693 - ZY K = 0.693 72.26YY = 0.0565 yo K-2.303 loq (tritiumdo t o (Tritium] 0.058547! = 2.33 0.056595 = 2.100 oyrg log (Toitium), [tsitiumit log Ciritium], = 0.0585x100 Tog T tostiumit - 2.303 cTritiumo - 28308 Posteunte Tritiumst - 283.8 fraction remains al [instrum] (trititum} t = [tritium] .: - 283.8 Ans: 283.8 © Ooststation No. 4 tritum atma Demaining a 4-soxton +00 = 5.2853166 0.693 57307 2.3 t +12=5130yr t=2010 yr. - [ 10 = 12.6 mint å * = 2.303 dag o [4]t 2.303 loa 12.6 meng 373090 2010 yr 12-16 min 5= 1.275 : ['J200= 7-8misiz 6 0.693 - 2.303_10g 12,6 = 2303 X0.0358 |cs Scanned wit5730 YY t Ollob CamScanner si t =681.7 you 12.6 . 1.275 C'est