Calculate the activity due to 14 C in 1.00 kg of carbon found in a living organism.

Question:

Calculate the activity due to 14C in 1.00 kg of carbon found in a living organism. Express the activity in units of Bq and Ci.

Strategy

To find the activity R using the equation R = 0.693 N 1/2 we must know N and t1/2. The half-life of 14C can be found in Appendix B, and was stated above as 5730 y. To find N, we first find the number of 12C nuclei in 1.00 kg of carbon using the concept of a mole. As indicated, we then multiply by 1.3x10-12 (the abundance of  14C in a carbon sample from a living organism) to get the number of 14C nuclei in a living organism.

Data from Appendix B

Isotope 3H 14 C 13 N 22 Na 32p 35 S 36 Cl 40 K 43 K 45 Ca 51 Cr t 1/2 12.33 y 5730 y 9.96 min 2.602 y 14.28 d52 Mn 52 Fe 59 Fe 60 Co 5.59d 8.27 h 44.6 d 5.271 y B+ B+ Bs 3.69 1.80 0.273 0.466 0.318 28% 43% 45% 55% YS

Isotope 65 Zn 67 Ga 75 Se 86 Rb 85 Sr t 1/2 244.1 d 78.3 h 118.5 d 18.8 d 64.8 d DecayMode(s) Energy (MeV)

90 Sr 90 Y 99m Tc 113m In 123 I 1311 129 29 Cs 28.8 y 64.1 h 6.02 h 99.5 min 13.0 h 8.040 d 32.3 h IT IT EC

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