Calculating the Age of a Mummy Shroud Using Carbon Dating - Step by Step Guide

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In summary, the conversation is about using carbon dating to determine the age of a cloth shroud found on a mummy. The shroud has a 14C activity of 8.9 dpm g of carbon, while living organisms have 15.2 dpm g of carbon. With a half-life of 5730 years, the shroud's age can be calculated using the formula C_{o} (.5)^\frac{t}{T} = C, where Co is the initial amount of carbon, C is the amount of carbon after t years, and T is the half-life.
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sanjeevkaushal
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Carbon dating - urgent please help

Homework Statement


a) The cloth shroud of a mummy is found to have a 14C activity of 8.9 dpm g of carbon as opposed to living organisms which undergo 15.2 dpm g of carbon. Given the half –life of 14C is 5730 years what was the age of the shroud in years?


Homework Equations


Dont kno which 1 to use and if did don't kno how to :(


The Attempt at a Solution



Please help as much as possible as I am not to good at radiocarbon dating, thanks
 
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  • #2
In present day, Co is 15.2, which is what it was when the shroud was first made. This value decreases by half every 5730 years, so the formula to use would be [tex] C_{o} (.5)^\frac{t}{T} = C [/tex]where Co is the initial amount of carbon, C is the amount of carbon after t years, and T is the half life.
 
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  • #3
Can you please avoid double posting?!?
 

What is carbon dating?

Carbon dating is a scientific method used to determine the age of organic materials by analyzing the amount of radioactive carbon-14 present.

How does carbon dating work?

Carbon dating works by measuring the amount of carbon-14, a radioactive isotope, in a sample. As living organisms absorb carbon-14 from the atmosphere, the amount of carbon-14 in their bodies remains constant. However, once the organism dies, the carbon-14 starts to decay at a known rate. By measuring the amount of carbon-14 left in a sample, scientists can calculate how long it has been since the organism died.

What types of materials can be dated using carbon dating?

Carbon dating is typically used to date organic materials such as bones, wood, and plant remains. It cannot be used to date rocks or non-organic materials.

What are the limitations of carbon dating?

Carbon dating is only accurate for samples up to 50,000 years old. Beyond this point, the amount of carbon-14 left in a sample is too small to accurately measure. Additionally, the method is only reliable for samples that have not been contaminated by external sources of carbon, such as recent animal or plant activity.

Why is carbon dating important?

Carbon dating is an important tool in archaeology, paleontology, and other fields that study the history of the Earth and its inhabitants. It allows scientists to determine the age of artifacts and fossils, providing valuable information about past civilizations and life on Earth.

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