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3. Show that the half-life of a radioactive parent is equal to 0.693/. (This requires a derivation. Begin with the fundamental equation of radioactive decay.)

image text in transcribedimage text in transcribed 3. Show that the half-life of a radioactive parent is equal to 0.693/. (This requires a derivation. Begin with the fundamental equation of radioactive decay.) Isotope Information (for Geochron and Stable Isotopes) 23=9.84851030a123=1.551251014a1231U+15U=137.88Halflifeof11C=5730aAbundanceofK=0.01167mol%ofKmassof20Ar=39.962383amu1000ln1abiwaw=2.7810T22.8910x=1.0094 Extended Debye-Hucekel Equation (for 25C ) log=[0.5085z2119][1+a0.3281I16] Krauskopf's aetivity coefficients for the Davies Equation ( I = ionie strength; = activity coefficient) Cosstants and Cenversions R=8.31441Jmol1K1=82.06cm3atmmol1K1=1.987101kcalmol4K1Icaloric=4.184JoulesFaradayconstant=23.06kcal/volt

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