Question

The Mesopotamian civilization was dated by using carbon-14 dating. A piece of wood discovered in an archaeological dig was found to have lost 62% of its carbon-14. Determine its age. Carbon-14 has a half-life of 5730 years. 

          The Mesopotamian civilization was dated by using carbon-14 dating. A piece of wood discovered in an archaeological dig was found to have lost 62% of its carbon-14. Determine its age. Carbon-14 has a half-life of 5730 years.

Added by Janice C.

Chemistry: Structure and Properties
Chemistry: Structure and Properties
Nivaldo Tro 2nd Edition
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The Mesopotamian civilization was dated by using carbon-14 dating. A piece of wood discovered in an archaeological dig was found to have lost 62% of its carbon-14. Determine its age. Carbon-14 has a half-life of 5730 years.
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Transcript

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00:02 I'm told the half -life of carbon is 5730 years.
00:12 I'm going to use that information and an exponential decay model to find the decay rate.
00:19 A sub zero is my initial amount.
00:21 I'm going to have half of that in 5730 years.
00:27 Divide by a sub zero.
00:30 Take the natural log of both sides.
00:34 Bring down your exponent.
00:41 Ln of e is just 1.
00:43 Divide both sides.
00:47 So i have my decay rate.
00:50 Now i'm told that an artifact contains 69 % of the amount present in living trees...
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