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a sample of 60 Co disintegrates at a rate of 6740atoms/hour the half life of 60

ID: 76520 • Letter: A

Question

a sample of 60Co disintegrates at a rate of 6740atoms/hour the half life of 60Co is 5.2 years. What isthe mass of the 60Co sample?

                                               = 0.693/5.2 years CONVERT YEARS INTO HOURS!

                                                = 0.693/ 45582.225 HOURS

                                                = 1.52*10-5

                                     N = rate/ k

                                             = 6740/1.52*10-5

                                 Mass of Co = (4434.21*105 )*60.0/6.022*1023

                                                     = 4.416*10-18 g

Explanation / Answer

443240305 atoms *(1mol / 6.022e23 atoms) *(58.9 g/ mol) = 4.34 x 10-14 g

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