Following is the - complete Answer -&- Explanation: for the given Question: in....typed format...
Answer:
The Age Of the fossil = 2.6 x 109 years:
Explanation:
Following is the complete Explanation: for the above Answer.
We know the following formula: i.e. of Half Life:
( mass of radioactive element remaining after decay ) = 1/ 2n x ( Original mass of radioactive element ) --Equation - 1
Where:
Since, we know: after 75% decay: the mass of radioactive element remaining = ( 100% - 75% ) = 25% after decay.
Assuming: original mass of K-40 = 100%
Now, plugging in values: in ...Equation - 1: we would get:
( 25.0 % ) = ( 1/2 )n x ( 100% )
( 1/2 )n = ( 25.0%) / (100.0%) = 1/4 = ( 1/2 ) 2
Therefore: we get:
n = 2 ( i.e. two half lives )
Therefore:
Age of the fossil = n x t1/2 = ( 2.0 ) x ( 1.3 x 109 years ) = 2.6 x 109 years:
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