The half-life for the radioactive decay of C-14 is 5730 years.How long will it take for 30% of the C-14 atoms in a sample of C-14 to decay?

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The half-life for the radioactive decay of C-14 is 5730 years.How long will it take for 30% of the C-14  atoms in a sample of C-14 to decay?

Izaiah Bean · Accepted Answer

t                        1          2                      =    5730    y        λ    =                  ln        2                    t                              1            2                                =                  ln        2            5730        =    1.21    ⋅          10              -        4                    y              -        1                  m          (      t      )        =          m      0              e              λ        t                                m                  (          t          )                            m        0              =          e              λ        t                  λ    t    =          ln              (                              m                          (              t              )                                            m            0                          )                  t    =          1      λ              ln              (                              m                          (              t              )                                            m            0                          )                  t    =          1              1.21        ⋅                  10                      -            4                                ⋅          ln              (        0.7        )              =    2948.5    y

The half-life for the radioactive decay of C-14 is 5730 years.How long will it take...

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