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 January 17th, 2017, 04:10 PM #1 Newbie   Joined: Jan 2017 From: Warrington Posts: 2 Thanks: 0 Exponential Decay The equation for exponential decay is N = N0 e^(-at) where N is the population at time t and N0 the amount at time t = 0. Find the age t , if an initial population of 14C atoms has decayed to 0.1% of its original amount and the decay parameter a is 1.226 × 10-4 y-1. Any suggestions/agreement on the answer to this question. Please note that the 'a' is supposed to be an alpha symbol, although an 'a' does the same job. I have an answer of 56344 years, although I'm doubting this answer as this just about on the borderline of the maximum age for carbon dating. Thanks in advance.  January 17th, 2017, 04:23 PM #2 Math Team   Joined: Jul 2011 From: Texas Posts: 3,044 Thanks: 1627 works fine for me ... if they really detected a 0.1% carbon 14 level $N = N_0 e^{-at}$ 100% of $C_{14}$ at $t = 0$ $0.1 = 100 e^{-at}$ $0.001 = e^{-at}$ $\ln(0.001) = -at$ $t = \dfrac{\ln(0.001)}{-a} = \dfrac{\ln(0.001)}{-1.226 \times 10^{-4}} = 56344$ years Tags decay, exponential, math Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post swm06 Algebra 2 April 6th, 2013 03:22 PM lechatelier Algebra 5 June 4th, 2012 10:37 PM MathsBeforeBedtime Algebra 2 May 21st, 2011 06:36 AM the_liong Calculus 1 October 17th, 2009 05:03 AM symmetry Algebra 1 April 22nd, 2007 06:20 AM

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