Petroleum is a fossil fue containing many different carboncompounds. If the carb

Question

Petroleum is a fossil fue containing many different carboncompounds. If the carbon atoms in petroleum have been in the groundfor 100 million years, what fraction of the intial 14Catoms is still there? (t 1/2=5,370 yr) a. 0 b. 1 x 10-10 c. 5.7 x 10-5 d. 1.0 x 10 -3 e. 5.7 x 10-1 Petroleum is a fossil fue containing many different carboncompounds. If the carbon atoms in petroleum have been in the groundfor 100 million years, what fraction of the intial 14Catoms is still there? (t 1/2=5,370 yr) a. 0 b. 1 x 10-10 c. 5.7 x 10-5 d. 1.0 x 10 -3 e. 5.7 x 10-1 e. 5.7 x 10-1

Explanation / Answer

              t = 100 million years        = 100 x106 yr     t1/2 = 5,370 yr    number of half lives = n = t /t1/2                                          =100 x 106 yr / 5370 yr                                         = 1.8621 x 104           fraction of initial C14 atoms remained = 1 / 2n                                                                       = 1.77 x e-5606                                                                                      = 1.77 x e-5606               

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