The half life of is 5715 years.
The connection between the half life and the decay constant is shown by the equation:
The information provided lets us know that and
Use the equation
Rearrange to determine the shroud's age:
The half life for decay to is
The mass ratio of the rock is to
Let us calculate the age of the rock.
Let's first determine the decay constant.
We can now determine the rock's age.
The half time for decay,
The disintegration per minute per gram of carbon, N=9.7
The disintegration per minute per gram,
The rate constant's expression,
the expression "radioactive decay,"
Result: The age of the shroud is
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