Question

An arhaeologist, exploring the pyramids

of Africa, discovers a mummy. He finds

that it contains 53 % of original amount

of C-14. Find age of the mummy.

Answer 1

the answer is 6349 :)

Explanation:

Someone put the correct answer in the comments so I figured I would put it here so you wouldn't miss it :) (It is correct I have tested it)

Answer 2

5249 years

Explanation:

Half-Life of Carbon-14 is approximately 5730 years.

When we want to determine the age of a fossil using carbon dating, we use the formula:

`t=(\ln(N/N_0))/(-0.693) \cdot t_(1/2)`

Where:

• 
  `t_(1/2)` is the half-life of the isotope carbon 14,
• t = age of the fossil (or the date of death) and
• ln() is the natural logarithm function

In this case:

N(t)=100

`N_o=53\\t_(1/2)\approx 5730$ years`

Therefore, the age of the mummy

`t=(\ln(53/100))/(-0.693) \cdot 5730\\=5249.43$ years\\t \approx 5249$ years`