Solved: Bi-210 is a beta emitter with a half-life of 5.0 days. If a sample contains 1.2

Solution 93P :

Step 1 :

Given :

Half life of Bi -210 (t1/2) = 5.0 days.

Mass of Bi-210 = 1.2 g.

Number of beta emissions occur in 5 days = ?

Given:

We know the equation for first order rate equation of kinetics of radioactive delay:

ln () = - k t

Where, A = amount of radioisotope remaining after time "t" has passed.

 Ao= initial amount of radioisotope at the beginning of the period

 K = rate constant for the radioisotope

t1/2 =  for first order reaction

Therefore, k =   

      k =  

                 = 0.1386