Can someone check my Radiometric Dating Problems?
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 Garter
 Posts: 2
 Joined: Sun Jan 24, 2010 12:08 am
Can someone check my Radiometric Dating Problems?
1. The half like of carbon 14 is 5730 years. Some charcoal from an ancient village has only 1/16 of its original level of carbon 14. How old is the charcoal? My answer was 45,840 yrs.
2. The half life of potassium 40 is 1.3 billion years. How much of that potassium 40 would have decayed to argon after 3.9 billion years? My answer was 3/8.
2. The half life of potassium 40 is 1.3 billion years. How much of that potassium 40 would have decayed to argon after 3.9 billion years? My answer was 3/8.
For Question #1:
I might be over simplifying it, but 1/16 is 4 half life periods (1/2 * 1/2 * 1/2 * 1/2 = 1/16)
So 4 * 5730 years = 22,920 years
For Question #2:
3.9 / 1.3 = 3 Halflife periods so: 1/2 *1/2 * 1/2 = 1/8 of the potassium would remain. 1  1/8 = 7/8 of the potassium would have decayed to argon.
I might be over simplifying it, but 1/16 is 4 half life periods (1/2 * 1/2 * 1/2 * 1/2 = 1/16)
So 4 * 5730 years = 22,920 years
For Question #2:
3.9 / 1.3 = 3 Halflife periods so: 1/2 *1/2 * 1/2 = 1/8 of the potassium would remain. 1  1/8 = 7/8 of the potassium would have decayed to argon.

 Garter
 Posts: 2
 Joined: Sun Jan 24, 2010 12:08 am
Re: Can someone check my Radiometric Dating Problems?
Thanks for the help everyone
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