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Radiometric Dating Chapter 18 Geology Absolute Dating • • • • Gives a numerical age Works best with igneous rocks difficult with sedimentary rocks Uses isotopes – Radioactive – Different number of neutrons (than stable atom) • Carbon 12 (12C) – Atomic mass is on periodic table • Carbon 14 (14C) – 2 “extra” neutrons – radioactive Half-Life The time required for the Parent material to decrease by one-half 1200 1000 800 Activity 600 400 200 0 New 1 HalfLife 2 HalfLives 3 HalfLives 4 HalfLives How long is a half-life? Parent Daughter Half life Potassium 40 Argon 40 1.3 by Rubidium 87 Strontium 87 48.8 by Uranium 235 Lead 207 .7 by Carbon 14 Nitrogen 14 6,000 years Sodium 22 Aluminum 27 15 hours 14 Carbon • Only accurate for ages less than 100,000 years • Parent gets too small to accurately measure Preparing a rock for mass spectrometer Mass spectrometer measures D/P ratio Half life problem • If you begin with 80 grams of 14C after a time, 20 grams are left. How old is the sample? Another half-life problem • 1,000 grams of radioactive element is in a rock when it is formed. The element’s half-life is 2 million years. After a time, 125 grams of the original element remain. How old is the rock? Using daughter/parent ratio • 1) D/P ratio • 2) figure out number of half-lives – Use graph • 3) multiply number of half-lives by the time of one half-live • Example: 240 g 14N ; 8 g 14C 14C 14 N one half life= 6000 years