Question

In: Chemistry

1) The half-life for the first-order decay of 14C is 5730 years. How long will it...

1) The half-life for the first-order decay of 14C is 5730 years. How long will it take for a sample to decay to just 10% of it’s initial amount?

Solutions

Expert Solution

Half life for the first order decay of 14C i.e t1/2 = 5730Y

                                                                      t1/2= 0.693/λ

                  λ = 0.693/5730

                                                                        λ = 0.0001

                                 from first order reaction λ = 2.303/t log a/a-x

time taken for the completion of the 10% of the reaction

                                                                        t = 2.303/0.0001 log 100/90

                                                                          t = 23030 log 10/9

                                                                           t = 1053.7Y


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