It is estimated that the Chernobyl disaster released 6.0 MCi of 137 Cs into the environment. Calculate

Question:

It is estimated that the Chernobyl disaster released 6.0 MCi of 137Cs into the environment. Calculate the mass of 137Cs released.

Strategy

We can calculate the mass released using Avogadro's number and the concept of a mole if we can first find the number of nuclei N released. Since the activity R is given, and the half-life of 137Cs is found in Appendix B to be 30.2 y, we can use the equation R = 0.693N 1/2 to find N.

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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