14C half life 5370 years dead tree 14C 60%

14C half life 5370 years dead tree 14C 60%

 

 

The half life period of 14C is 5370 years.

In a sample of dead tree,

the proportion of 14C is found to be 60%

in comparison to living tree.

Calculate the age of the sample.

 

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방사성 붕괴는 1차 반응이므로,

 

1차 반응의 반감기

t_1/2 = 0.693 / k

( 참고 https://ywpop.tistory.com/26 )

 

k = 0.693 / t_1/2

= 0.693 / 5370 yr

= 0.00012905 /yr

 

 

 

1차 반응 속도식

ln(C_t / C_0) = –k•t

 

t = –ln(C_t / C_0) / k

= –ln(60 / 100) / (0.693 / 5370 yr)

= 3958.3457 yr

 

 

 

답: 3958년