Question

In: Chemistry

The usefulness of radiocarbon dating is limited to objects no older than 50,000 yr. What percent...

The usefulness of radiocarbon dating is limited to objects no older than 50,000 yr. What percent of the carbon−14, originally present in a 4.0−g sample, remains after this period of time? The half-life of carbon−14 is 5.73 × 103 yr.

Solutions

Expert Solution

A:- The half-life of the C-14 = 5.73 * 10^3 years,

     The radiocarbon dating is limited to objects no older than 50,000 years

     So number of half-lifes = 50,000 / 5.73 * 10^3

                                         = 8.726 half-lifes

   Time taken for the consuption of half mass of the given substance, i.e. from 4.0 g to 2.0 g,

   The percentage of C-14 present in 4.o g sample = 2^-(8.726) * 100

                                                                                 = 0.236 %


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