The age of the rock is mathematically given as
t= 2.6 10^9 y
What is the age of the rock?
Question Parameter(s):
a ratio of 25 percent 40K
atoms to 75 percent 40Ar and 40Ca atoms.
Generally, the equation for the half lif is mathematically given as
\(t= \frac{ t_{ \frac{1}{2} } }{ln(2)} ln( \frac{ K_{f} + \frac{ Ar_{f} }{0.109} }{ K_{f} } )\)
Therefore
\(t= \frac{1.251* 10^{9} }{ln(2)} ln( \frac{0.25+ \frac{0.75}{0.109} }{0.25} )\)
t= 2.6 10^9 y
In conclusion, the age of the rock is
t= 2.6 10^9 y
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